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This paper presents the seismic resistance calculation results for a high-rise building that considers the wave nature of the impact, its heterogeneity and irregularity in the structural plan, performed in SCAD Office. The analysis of normative requirements to consider the wave action and existing calculation methodologies is carried out. Recommendations are given on possible consideration of the seismic impact’s irregularity using the direct dynamic method to solve the MDE-level seismic impact on the structures.

There are a large number of works on a comprehensive assessment of the seismic resistance of buildings and structures. However, these studies, as a rule, do not take into account the random nature of the seismic impact, which is a pronounced non-stationary random process. An adequate assessment of the seismic resistance of buildings and structures is possible only on the basis of methods that allow taking into account the large variability of seismic impact parameters. The article presents a probabilistic method for calculating multi-storey reinforced concrete buildings designed in seismic regions, taking into account the interaction of a building with a non-linearly deformable foundation. The developed technique makes it possible to provide the required level of seismic resistance for the designed buildings based on the non-collapse criterion. As an ex-ample, the calculation of a multi-storey reinforced concrete building is considered. External seismic action is represented as a non-stationary random process. The external seismic action is considered as a non-stationary random process, which is obtained by multiplying the stationary random process by a deterministic envelope function. The parameters necessary for constructing the envelope and the stationary random process were obtained from the results of processing the available database of intense earthquakes. The stationary random process was generated by the shaping filter method. The impact parameters are based on the results of processing the available database of intense earthquakes. When modeling reinforced concrete structures, a concrete model is used with the function of damage accumulation under cyclic loads, as well as taking into ac-count the degradation of the strength and stiffness of the material during an intense earthquake. Accounting for the interaction of the building with the soil base is implemented using the SSI interface (Soil Structure Interaction). To prevent the influence of waves reflected from the boundaries of a limited ground massif, a PML layer (Perfectly Matched Layer) is used. The calculation was carried out using explicit methods for integrating the equations of motion on a computing cluster using parallel computing technology. The presented technique makes it possible to investigate the nature of the destruction of reinforced concrete structures during intense earthquakes and to identify zones with a deficiency in bearing capacity. The proposed probabilistic approach to modeling seismic impact as an implementation of a non-stationary random process with given parameters, together with taking into account the nonlinear deformation of the reinforced concrete structures of the building and foundation, allows you to control the level of reliability and design buildings with a given seismic resistance.

Many buildings during their operational period incur damage of different origin: man-made, natural, operational, etc. Dynamic tests are performed for detailed assessment of the technical condition of buildings and structures in accordance with the regulatory documents for general analysis of the building damage state. In a large number of papers, the results of comparison of full-scale tests and numerical analysis using finite element method are presented. When analyzing the results, it can be concluded that the dynamic method is reliable, but has several limitations. The advantage of the dynamic method of building damage assessment is the possibility to adjust finite element models in software systems taking into account results obtained from in-situ tests, which allows to obtain more accurate results for the assessment of bearing capacity under seismic loading. To examine the effect of damage to buildings on their seismic resistance, an experiment with corrosiondamaged reinforced concrete columns was performed. The result of the first stage of the experiment is the assessment of the change in dynamic characteristics (eigenfrequency, vibration decrement, vibration damping coefficient, etc.) of reinforced concrete column specimens subjected to corrosion damage.

Analytical, computer and experimental modeling methods are applied in the study of seismic resistance and changing dynamic parameters of long-term loaded non-linearly deformed large-span spatial shell structures. Physically and geometrically nonlinear deformation models and computational algorithms for solving dynamic problems are proposed for estimating the stress-strain state of smooth and ribbed spatial systems with variable stiffness caused by damage accumulation and orthotropic structure reinforced by ribs. The possibility of using the proposed method of taking into account variable dynamic stiffness in calculations for solving problems of dynamic strength and stability of spatial large-span shells of unique buildings of complex geometry is shown.

The consequences of destructive earthquakes show that the problem of analyzing the response of reinforced concrete frames under seismic loads after a fire is relevant. The calculation models used for individual elements and buildings as a whole must take into account the nonlinear properties of concrete and reinforcement. In the spectral calculation method, the nonlinear properties of materials are taken into account by introducing a reduction coefficient to the elastic spectrum. When determining the reduction coefficient, a common deformation criterion is based on the use of the plasticity coefficient. The seismic resistance of a three-span, five-story reinforced concrete frame under four different fire exposure options is considered. The residual strength and stiffness of frame elements after a fire is assessed by performing a thermal engineering calculation in the SOLIDWORKS software for a standard fire. For the central sections of the elements, the highest temperatures were obtained after heating—during the cooling stage. The reduction coefficient is estimated by performing a nonlinear static analysis of reinforced concrete frames in OpenSees and constructing load-bearing capacity curves. Fracture patterns and damage levels in plastic hinges are analyzed. Based on the numerical modeling of reinforced concrete frames after exposure to fire, it was revealed that the most dangerous scenario is the occurrence of a fire on the first floor of the building. Based on the obtained plasticity coefficients, reduction coefficients were determined in the range of 2.62 to 2.44. The influence of fire on the permissible damage coefficient of a reinforced concrete frame is assessed using the coefficient φK—the coefficient of additional damage after a fire, which is equal to the ratio of the reduction coefficients for the control and fire-damaged frames. Depending on the percentage of damaged structures on the first floor, the following values were obtained: 50% or less—φK = 1.09; 100%—φK = 1.17. The obtained coefficients are recommended to be used when assessing the seismic resistance of a reinforced concrete frame after a local fire.

The gymnasium is mainly composed of truss structure, with a large span, and requires high seismic performance. To ensure greater stability of the truss structure, modal analysis was conducted on the mechanical model, yielding the natural frequencies and modal shapes. In order to improve the seismic performance, BRB rods were added to the support points, and the frame structure was reinforced with diagonal braces. Through modal verification, it can be seen that the stiffness of the truss structure was significantly improved. The internal forces of the truss were simulated under the El Centro and Taft seismic wave conditions. The results show that the optimized structure can significantly reduce the internal forces and improve the overall seismic performance. The fundamental natural period of the reinforced structure is less than that of the unreinforced structure, and the stiffness of the reinforced steel structure increases, making it more sensitive to vertical seismic motion. [ABSTRACT FROM AUTHOR]

The seismic resistance of nuclear power plant equipment and piping is determined, inter alia, by the seismic resistance of their steel supporting structures. During the operation of the nuclear power plant power unit, mechanical loads from the elements installed on them are transferred to the steel supporting structures of the equipment and piping. During an earthquake, seismic loads are added to these loads. By state building codes, when considering steel structures in special operating conditions (in particular, exposed to seismic hazards), it is necessary to comply with additional requirements that reflect the features of these structures. Given this, the issue of developing approaches to the compilation of load combinations in assessing the seismic resistance of steel supporting structures of nuclear power plants equipment and piping is acute, taking into account the specific conditions of their operation. The paper is also relevant as it is one of the priority areas of science and technology under the legislation of Ukraine. The development of approaches to the compilation of the calculated load combinations will contribute to the improvement and development of methods for assessing the safety of nuclear power facilities. The paper presents the results of the review of the provisions of state building codes on the calculated combinations of loads when assessing the strength of steel structures. Approaches to the compilation of the calculated load combinations in assessing seismic resistance of steel supporting structures power units of nuclear power plants equipment and piping taking into account the specific conditions of their operation have been developed.

The seismic resistance of existing embankments has become a significant issue as embankments fail frequently because of earthquakes. However, there are only a limited number of methods that can improve the seismicity of these existing embankments. In this study, a new improvement method, called the “replacement/counterweight fill method”, is proposed to improve seismic resistance. Two high embankments, of different materials, were constructed on an inclined ground and the replacement/counterweight fill method was applied to them. A seismic response analysis was performed to investigate the effectiveness of the improvement in seismicity. It was found that the replacement/counterweight fill method reduced the area of shear strain by more than 30%, suppressed the deformation of the embankments, and improved the seismic resistance. Along with the increase in the height of the counterweight fill, the effectiveness of this method increased and the seismic resistance was improved even further. Applying the replacement/counterweight fill method contributed to the improvement in seismic resistance by increasing the mean effective stress inside the embankments, decreasing the specific volume, decreasing the stress ratio (q/p’), and reducing the plastic deformation caused by the increase in the overconsolidation ratio due to unloading during the earthquake. Increasing the height of the counterweight fill was seen to be more effective for suppressing embankment deformation than increasing its width because increasing the height meant that the area of the reinforcement effect would be expanded.

An algorithm to confirm the seismic resistance of equipment by a calculation method is proposed, and the limits of its application are determined. A mathematical model of the equipment is developed, and an example of the determination of natural frequencies and stresses for a three-dimensional structure is given. Two main types of calculation were used – static and dynamic. In the static calculation, the stress-strain state of a structure was determined. The values of the obtained stresses were compared with the allowable ones for the materials used, on the basis of which conclusions were made about the strength of the structure under seismic effects. The dynamic calculation resulted in the determination of the rigidity of the structure. The comparison of the stress values obtained for this equipment allowed us to make a conclusion regarding its resistance to seismic effects. The seismic resistance of the equipment was estimated on the example of the K-1000-60 / 1500 steam turbine condenser, and calculated at a seismic intensity of 6 points on the MSK-64 seismic intensity scale. In the course of solving this problem, results of the stress distribution in the housing and other structural elements of the condenser due to the action of combined normal operation and design-basis seismic loads were obtained. The seismic resistance of the equipment was calculated using the finite element method. This allowed us to present a solid body in the form of a set of individual finite elements that interact with each other in a finite number of nodal points. To these points are applied some interaction forces that characterize the influence of the distributed internal stresses applied along the real boundaries of adjacent elements. To perform such a calculation in CAD modeling software, a three-dimensional model was created. The obtained geometric model was imported into the software package, which significantly reduced complexity. The use of the calculation method allows us to significantly reduce the amount of testing when confirming the seismic resistance of equipment. Results of the assessment of the spatial complex stress state of the steam turbine condenser design due to the action of combined normal operation and design-basis seismic loads are obtained.

The revitalization of existing masonry buildings, built decades ago, is a very topical and complex structural engineering issue, especially when the building was built in the area of significant seismic activity. A large number of masonry buildings in the city of Niš, as well as in other places in Serbia, were built in the period before the adoption of technical regulations on the design and construction of seismically resistant structures and they are at insufficient safety level in the event of an earthquake. Therefore, it is necessary that structural strengthening meets the seismic resistance requirements laid down in Eurocode 8 or other relevant codes. In order to choose the method of structural strengthening, detailed seismic analyses must be carried out in several variants along with the application of relevant technical regulations. The effects of five analyzed structural strengthening methods were checked against the provisions of Eurocode 8, Part 1 and Part 3, which relate to the recommendations for the geometric characteristics of shear walls, and they were applied on two types of existing masonry buildings in Niš. On the basis of the performed analyses, conclusions were drawn regarding the methodological approach of the assessment of the condition of the structure, its seismic resistance and decision-making on remediation and/or strengthening measures.

The seismic resistance of nuclear power plants equipment and piping is determined, inter alia, by the seismic resistance of their steel supporting structures. The linear-spectral method, which involves using the results of the modal analysis of the structure under consideration, is widely used to assess the seismic resistance of these supporting structures. During the modal analysis, the structure’s dynamic characteristics are researched (in particular, the modes and values of natural oscillation frequencies). The dynamic characteristics of steel supporting structures affect the number of seismic loads that will be transmitted to them during an earthquake. The value of dynamic characteristics, among other issues, is influenced by the conditions of the steel supporting structures fastening. Therefore, it is relevant to research the impact of changes in the conditions of fastening of steel supporting structures of nuclear power plant equipment and piping on their seismic resistance. The paper gives the results of the research of dynamic characteristics, as well as the stress-strain state of steel supporting structures of nuclear power plant equipment and piping during changes in the conditions of their fastening.

On February 6, 2023, two catastrophic earthquakes occurred on the East Anatolian Fault. The earthquakes had magnitudes of Mw = 7.7 and 7.6 and struck Kahramanmaraş-Pazarcık and Kahramanmaraş-Elbistan, respectively. The Kahramanmaraş-Pazarcık earthquake was triggered at 04:17 local time on the Dead Sea Fault (a branch of the East Anatolian Fault). The last earthquake on the addressed fault occurred about 500 years ago. The recorded peak ground acceleration (PGA) at the Pazarcık station reached 2.05g. In addition, the Pazarcık earthquake triggered two independent earthquakes, the Nurdağı and Islahiye earthquakes, which occurred 10 min later than the Pazarcık earthquake. However, the last earthquake, with its epicenter in Kahramanmaraş-Elbistan, struck at 13:24 local time. The recorded PGA for the Elbistan earthquake is 0.68g. This study aims to present the fault rupture mechanism of the February 6, 2023, Kahramanmaraş earthquakes, earthquake characteristics, and to evaluate the performance of masonry dwellings during the Kahramanmaraş earthquake doublet, which affected 10 provinces and numerous towns and villages. This paper also aims to illustrate the damage and failure mechanisms of the masonry dwellings, despite unexpectedly high accelerations that exceeded the design spectrum in the field, specifically in Kahramanmaraş, Gaziantep, Hatay, and Malatya, according to the current earthquake code in use. [ABSTRACT FROM AUTHOR]

The article is devoted to developing methods for solving the problem of seismic vibrations using a continuous spatial plate model of a multi-story building developed within the framework of the bi-moment theory of thick plate structures. A method for dynamic spatial calculations for seismic resistance of multi-story buildings under longitudinal seismic influences is proposed. Formulas are given for determining the reduced elastic moduli. The values of eigenfrequencies, displacements, and stresses are determined within the framework of the resonance method.

In order to enhance the self-centering capacity of steel frame structures after earthquakes and reduce the tubes of traditional double-tube or triple-tube SC-BRB, an innovative single-tube self-centering buckling restrained brace (ST-SC-BRB) is proposed in this paper. Firstly, the structural configuration of the ST-SC-BRB component was described. Then, cyclic tests were conducted on one small-scaled BRB and one ST-SC-BRB with the same core steel plate. The test results indicate that the ST-SC-BRB specimen exhibits an excellent self-centering ability compared to the conventional BRB. However, their energy-dissipation capacities are still determined by the core steel plate. In addition, time–history analyses were conducted to evaluate the seismic performance of steel frame structures with BRBs and ST-SC-BRBs. The results suggest that the ST-SC-BRBs can effectively reduce the residual deformation of steel frame structures after earthquakes and contribute to the self-centering capacity of the steel frame structures. Finally, the influence of design parameters of ST-SC-BRB components on the seismic performance of steel frame structures was discussed. It is confirmed that the initial stiffness of the ST-SC-BRB component significantly influences the seismic response of the structure, while the self-centering ratio of the ST-SC-BRB component is a crucial factor in determining the residual deformations of the structure.

The scientific research illustrates that the eigenfrequencies of vibrations of an elastic spherical layer located in an infinite elastic medium are investigated. The problem of natural and forced oscillations is solved by reduction to a plane problem of elasticity theory. The spectrum of complex natural frequencies for spherical mechanical systems in an elastic medium is obtained in this work depending on various geometric and mechanical parameters of the system.

The article presents a comparative analysis of the development of standards for construction in seismically hazardous areas of the CIS countries and the Republic of Uzbekistan. The norms that have been used for several years in the CIS countries and developed countries such as the USA, China, Japan, as well as the current norm currently used in the Republic of Uzbekistan were also studied. Information is given about the latest differences in the norms with the new edition of BRR 2.01.03-19 “Construction in seismic areas”, according to the principles of zoning of the territory for seismic hazard, assessment of dynamic properties of soils, clarification of the seismicity of the construction site, construction of reaction spectra, consideration of the constructive solution and coefficients of responsibility of buildings, permissible sizes and assessment of the impact of the number of floors. The differences between these norms and European seismic norms are given. When studying the problem, the scientific works of a number of authors were considered [1-3,6,7].

The article is devoted to the study violation of soil stability loess soils and their transition to a state of liquefaction under strong seismic influences. The research dynamic acceleration was carried out to determine the physical and soil properties structure of cohesive soils. The results of experiments on the study of changes in the resistance to soil shear under conditions of intense vibration are presented. Formulas are given for determining the values of. With prolonged exposure, dynamic loads affect. In order to bring the soil into a liquefied state, the stability of connected soils must be violated. In many cases, it leads to a violation of seismic accelerations in them, the soils may be in a wet state.

An experimental investigation studied performance of reinforced concrete (RC) corner beam-column connection (BCC) subjected to cyclic loading. Each BCC consisted of upper, lower column and two beams; one of them was free end (A) while the other was fixed end (B). The cyclic loading was applied on the end of beam (A) while the beam (B) was unloaded and subjected to torsion stresses due to fixation. Two variables were investigated. The first is the eccentricity of the beam about column edge while the second is the effect of stirrup joint configuration on reinforced concrete beam column connection under cyclic loading. All BCCs were tested under reversible 14 cycles. The vertical displacement at the free end of beam (A), horizontal sway at mid height of the column, crack and ultimate loads were observed in details at each cycle. The results showed that the increase of stirrup length in the joint decreased the deflection at the same level of the load. The ultimate load of specimen, which was shifted by 25 mm, was less than the ultimate load of specimen, without shift, by 24%. When the joint stirrup was extended outside the column core by 50 mm in specimen Sp2, the capacity of the connection increased.

Steel multitiered concentrically braced frames (MT-CBFs) not specifically detailed for seismic resistance with a response modification factor of R=3 are permitted in moderate seismic regions. Past research studies, however, have raised concerns regarding the seismic performance of MT-CBFs and CBFs designed using R=3 provisions, namely the stability of columns in MT-CBFs and connection limit states in R=3 CBFs. This paper examines the seismic response of R=3 MT-CBFs and proposes a design method to improve their seismic performance. A set of 16 prototype R=3 MT-CBFs, ranging from 8 to 20 m tall with two to five tiers and located in a moderate seismic area, was selected and designed in accordance with 2016 US design guidelines. Nonlinear response-history analyses were then performed to examine the seismic response of these frames using fiber-based numerical models. R=3 MT-CBFs designed to 2016 design guidelines are shown to experience premature fracture in brace-to-beam/column connections in a single tier, which imposes high in-plane bending demands on columns and in some cases, leads to column instability or a tier-sway mechanism. New seismic design recommendations, including requirements for intermediate struts, columns, and tier drift, are proposed. The design method aims to prevent column instability or a tier-sway mechanism and protect brace connections from excessive deformation. [ABSTRACT FROM AUTHOR]

Being the critical hydraulic structure in the construction of national water diversion projects, the large-scale aqueduct is one of the indispensable buildings in the rational allocation of water resources. Moreover, its safe operation during an earthquake is related to the success of the national water network’s construction. In this paper, HDRBs (high damping rubber bearings) have been used as the seismic isolation device for the large aqueduct, considering the FSI (fluid solid interaction) between the water and the walls of the aqueduct, and the mechanical model of HDRBs has been constructed by the bilinear model. The dynamic responses of the large aqueduct under different ground motion excitations, including different peak ground accelerations (PGAs) and operating conditions, have been calculated using the precise integration method. At the same time, the influence of RB (rubber bearings) and HDRBs, two kinds of bearings, on the seismic response of the large aqueduct is compared and analyzed. The maximum reduction in natural frequency with HRDB is about 72%, compared with the use of RB under different working conditions. When there is substitution of HDRB for RB, the stresses in the concrete at the corresponding positions decrease from 1.87 MPa to about 0.71 MPa. The analysis shows that HDRBs are equipped with well seismic isolation and energy dissipation performance, which can effectively reduce the seismic responses and improve the seismic performance of the large aqueduct. In addition, it shows that HDRBs have well adaptability to different operating conditions, ground motion excitation, and PGA, which can be extended to the constructions of aqueduct projects with high seismic intensity and complex geological conditions.

This article presents a study of the use of ferrocement and expanded metal in the columns, beams, and walls of a reinforced concrete building structure to increase its seismic resistance. This study focused on a concrete building with three stories, located in Thailand. In the design of the reinforcement structure, a calculation and analysis of seismic resistance were conducted in a comparison of the original concrete building structure with the reinforced concrete building structure using the nonlinear static force method (pushover analysis method). The results showed that the seismic resistance of the reinforced concrete building structure was higher than the design value (DPT), with different seismic resistance values for the reinforced frames, columns, and walls of approximately 14%, 81%, and 19%. In particular, it had increased stiffness values for the frames, columns, and walls and increased ductility values for the walls. Moreover, the seismic resistance values originating from the reinforcement were significantly higher than those of the concrete building structure. Therefore, reinforcement should be applied to all concrete building structures with the implementation of the damage index, ensuring that it is reduced to the allowable level.

Abstract. Objectives To determine the damage probability of earthquakes of different intensities on the example of a real projected railway station building having a framework design scheme based on the density function of damage distribution. Methods Uncertainty, always existing in nature, invalidates a deterministic approach to the assessment of territorial seismic hazards and, consequently, seismic risk. In this case, seismic risk assessment can be carried out on a probabilistic basis. Thus, the risk will always be there, but it must be minimised. The task of optimising the reinforcement costs is solved by using the density distribution function for seismic effects of varying intensity, taking into account the degree of building responsibility. Results The distribution functions of the expected damage for a building with a reinforced concrete frame located in a highly seismic region with a repetition of 9-point shocks every 500 years and 10-point shocks once every 5000 years are constructed. A significant effect of the seismic resistance class of a building on the form of the distribution functions is shown. For structures of a high seismic resistance class, not only is the seismic risk reduced, but also the variance of the expected damage. From the graphs obtained, it can be seen that the seismic resistance class significantly affects the damage distribution. At a probability of 0.997, the expected damage for a non-reinforced building will exceed 43%; for a reinforced one it is only 10%. It also follows from the graphs that the variance of the damage magnitude decreases with the growth of the seismic resistance class of the building. This fact is an additional incentive for investing in antiseismic reinforcement of buildings. Conclusion The study shows the expediency of working with the damage density distribution function when managing seismic risk. In this case, it becomes possible to strengthen the building with a specified probability of damage exceeding the acceptable level during the operation of the construction. This takes into account not only seismic risk (mathematical expectation of damage), but also the dispersion of the expected magnitude of the damage. With the growth of seismic resistance class of the construction, it is possible to reduce both the risk and dispersion of possible losses.

Safety measures are required for spherical gas holders to prevent them from malfunctioning even after a large earthquake. In this study, considering the strong nonlinearity of the ground and damage to the pile during an earthquake, a three-dimensional seismic response analysis of the holder–pile–ground interaction system was conducted for an actual gas holder on the soft ground consisting of alternating layers of sand and clay. In the analysis, the seismic response of the structure to strong ground motions of different durations with the same acceleration response spectrum was verified. The results show that the piles were relatively effective in controlling the settlement when the duration of the earthquake motion was long. This is because the axial force acting on the pile increased due to the redistribution of the holder load caused by the lowering of the effective confining pressure of the sand and clay layers during the earthquake, which increased the bearing capacity of the pile. In contrast, when the duration of the seismic motion was short, the piles had little effect on the reduction in the settlement because the maximum acceleration was higher than that in the former case, and the piles immediately lost their support function.

The issues of using the response-spectra method for calculating the seismic resistance of structures are considered. The physical meaning of the coefficients included in the normative calculation formulas of the response-spectra technique is analyzed, ways of refining these coefficients are indicated. In particular, the dependence of the peak ground acceleration on the design accelerogram period is noted. The issue of obtaining the displacement spectra on the base of the normative spectral curve is considered. It is noted that with the correct setting of the normative coefficients, calculation by the response-spectra method gives more reliable values of the calculated factors. Dynamic calculating of structures over time are only needed for substantially non-linear systems and, possibly, heavily damped systems with non-uniform damping. Single calculation of the structure according to an accelerogram only disorientate the designer. The refined version of the linear spectral technique presented in the paper should be considered as the main method for assessing the seismic resistance of buildings and structures.

The main structures of the engine room of the CHP are among the most responsible reinforced concrete structures, since during operation they are subjected to significant technological loads, including those not provided for by the project. One of the most significant impacts is seismic. During the long-term operation of the CHP, the building structures have experienced significant alternating loads. As a result, the thermal power plants built 45-60 years ago and currently in operation have a reduced level of seismic resistance. As recent events in Turkey have shown, ensuring the safe operation of power plants is a key task. However, new construction is expensive and not always justified, in this regard, the task is to ensure the seismic resistance of existing power plants in seismically hazardous areas.

This article presents the results of evaluating the seismic resistance of high-rise buildings on real records of the accelogram and on regulatory documents using the LIRA-SAPR SP. The maximum and minimum values of bending moments, longitudinal forces, shear stresses are determined, and the most vulnerable areas where cracking in load-bearing structures is possible are determined. It was found that the values of force factors arising in buildings under the action of the accelogram turned out to be 2 times less than the values obtained from the data based on regulatory documents. Along with this, it was found that the results of the calculation for the seismic resistance of high-rise buildings according to real accelerograms and according to regulatory documents showed that the higher the building, the greater the magnitude of displacements, bending moments and longitudinal forces on the upper floors of buildings. This requires the development of appropriate measures to reduce the vibrations of the upper floors of multi-story buildings.

A flexible gusset is a device that improves the seismic resistance and energy dissipation capacity of a structure. To achieve these solo vibration characteristics, the flexible gusset is designed to remain elastic, resulting in reduced vibration to the structure. The designed energy-absorbing gusset is attached to the column with bolts, thereby connecting the ties to the column and putting them into operation while dissipating vibration. The proposed design was theoretically studied using modeling and calculation in the STARK-ES software package, which allows you to carry out calculations of buildings and structures for stability, as well as calculate natural vibrations in a relatively deformed state, taking into account the one-sided operation of the elements, create a calculation of constraints for forced vibrations with an arbitrary, power, kinematic and dynamic load. The results of the calculation of the bearing capacity assessment showed that the reliability of the system in places of critical stresses was increased. These results allow us to assume that the use of energy-absorbing gussets of frame ties increases the seismic resistance of the building and reduces the load on the foundations of the building than with standard fastening of columns and ties.

The object of the research is an underground straight horizontal pipeline subjected to seismic impact. The research method was analytical. The results were compared with the experimental results of other authors and computer calculations. It was shown that the main disadvantage of the dynamic theory of seismic resistance of underground pipelines is the neglect of the dynamic stress state in soil under seismic wave propagation. The next drawback of the dynamic theory is an inaccurate, approximate accounting for the displacement of the soil medium to which the underground pipeline is embedded. The complete interaction process includes the stages of nonlinear changes in the interaction force (the friction force) by manifesting its peak value and the Coulomb friction. The contact layer of soil undergoes shear deformations until complete structural destruction of the soil contact layer. The interaction force is the friction force, and its peak value does not appear. The seismic resistance of underground pipelines should be considered based on the theory of propagating seismic waves in a soil medium and the interaction of seismic waves with underground pipelines, i.e., based on the wave theory of seismic resistance of underground pipelines. A one-dimensional coupled problem of seismic resistance of underground pipelines under seismic impacts was posed based on the wave theory. An algorithm and a program for the numerical solution of the stated wave problems were developed using the method of characteristics and the method of finite differences. An analysis of the laws of interaction of underground pipelines with soil under seismic influences shows that it is necessary to use in the calculations the laws of interaction that account for the complete interaction processes observed in experiments. The analysis of the obtained numerical solutions and the posed coupled problems of the wave theory of seismic resistance of underground pipelines show the occurrence mechanisms of longitudinal stresses in underground pipelines under seismic influences. The results of calculations stated that an account for the dynamic stress normal to the underground pipeline’s outer surface leads to multiple increases in longitudinal stress in the underground pipeline. This multiple increase is due to the transformation of the interaction force into an active frictional force, resulting from a greater strain in soil than the one in the underground pipeline. Based on the analysis results, a theory of the seismic wave propagation process in an underground pipeline and surrounding soil was proposed.

Relevance. By its nature, seismic action is represented by the accelerogram a pronounced multidimensional random process, generally containing six components. The calculation in the deterministic formulation does not always allow to adequately assess the reaction of the system. While the calculation in the probabilistic formulation more adequately reflects the work of the system and makes it possible to evaluate its seismic resistance with a given security. The aim of the work is to assess the actual load-carrying capacity safety margin and the taken when designing coefficient K1, taking into account the permissible damage to buildings and structures for the steel spatial frame when calculating on the seismic action. Methods. In the article, the steel spatial frame was calculated for two sets of accelerograms, with dominant frequencies close to the main frequencies of the frame's natural vibrations. Each set was synthesized as a family of unsteady random seismic impact implementations. The calculation was carried out on two-component seismic action in nonlinear dynamic formulation in the software complex LS-DYNA. Previously, the frame was designed in accordance with national standard SP 14.13330.2014 “Construction in seismic areas on the seismic action” of the design earthquake level in the software complex PC LIRA 10.8. According to the developed probabilistic method for each set the actual load-carrying capacity safety margins were obtained and the coefficients K1 were estimated. Results . An analysis of the results shows that the steel frame under consideration has a sufficiently large margin of load-carrying capacity, and the coefficient K1 is taken in norms excessively conservatively. The developed technique allows to correct the value of the accepted coefficient K1 for buildings and structures of certain structural schemes. That in its turn will increase the economic efficiency of construction in seismic areas and ensure the reliability of the designed buildings and structures.

This article is devoted to the development of a continual layered plate model of a multi-story building to dynamically assess the seismic resistance of multi-story buildings in a spatial statement. Seismic vibrations of a building are modeled as a motion of a thick anisotropic cantilevered plate, the deformation of which is described on the basis of the bimoment theory of thick plates.