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With the considerable use of high-grade pipeline steel in onshore and offshore project, welded joints are recognized as the weak link in pipeline because of the non-uniform microstructural regions induced by welding heat input. At first, the microstructural of different regions in API X80 pipeline welded joints was characterized and quantified by SEM, which indicate that the pipeline steel is a typical acicular ferrite steel. In this paper we investigated the J-integral resistance curve (J-R curve) in different locations of API X80 pipeline welded joints through low constraint SENT specimens with side grooves at room temperature. The effect of notch orientation (longitudinal-radial (L-R) and transverse-radial (T-R)) on resistance curve were investigated in base metal, which reveal the orientation almost have no effect on resistance curve. As the welded joints adopted in this study is two-pass steel arc welds, so the J-R curves of the inner surface, the outer surface and through-thickness surface notches specimens in the weld metal were investigated. The inner surface sample have the highest toughness through three samples because of the effect of second pass welding process. The effect of constraint on resistance curve was conduct between low constraint SENT specimen and high constraint SENB specimen, which found that the lower constraint corresponding to the higher resistance curve. After finishing the test, crack advancing plan of different positions were etched and observed by OM to demonstrate that the crack path always in the region which we would like to test.

In this paper, the plate with different surface cracks (different constraints) was selected, the finite element numerical simulation method was used to mod el the J-integral and the equivalent plastic strain (εp) distributions ahead of crack front, after the unified constraint characterization parameter Ap was calculated, a new parameter which considered both J-integral and constraint effectwasdefined and a new methodology was provided to ensure the maximum crack extension location of surface crack. The results show that if the location of the maximum is defined as the maximum crack extension location, the prediction results is consistent with the measured results in experiments. The parameter which considered both crack driving force and material resistance force is a suitable parameter, and can be used to predict the maximum crack extension location.

Mismatch effect of weldments is important for the assessment of structural integrity at elevated temperature. The interfacial creep crack is a common model which can be found in lots of engineering practices. Recently, the constraint effect is also considered to be significant for the evaluation of creep crack growth under high temperature. In this paper, a model for bimaterial interfacial creep crack is introduced to study the mismatch constraint effect. The stress field for bimaterial interfacial creep crack is investigated. An M*-parameter is proposed to characterize the constraint effect caused by material mismatch for bimaterial creep crack. A comparison is made between the geometry constraint caused by specimen loading and mismatch constraint caused by inhomogeneous material.

This paper deals with a reconstruction of random media via multi-objective optimization. Two statistical descriptors, namely a two-point probability function and a two-point lineal path function, are repetitively evaluated for the original medium and the reconstructed image to appreciate the improvement in the optimization progress. Because of doubts of the weights setting in the weighted-sum method, purely multi-objective optimization routine Non-dominated Sorting Genetic Algorithm~II is utilized. Three operators are compared for creating new offspring populations that satisfy a prescribed volume fraction constraint. The main contribution is in the testing of the proposed methodology on several benchmark images.

This paper presents the improvement on accuracy and reliability of the load forecast model. It is well-known that characteristics of a load series is a non-stationary data, which is a constraint for the load forecast methods to achieve accurate and robustness responses. To overcome this limitation, a synergized method between wavelet transform and artificial neural network is proposed for short-term load forecasting. The modeling processes such as minimizing distorted data due to convolution operator of the wavelet transforms, model inputs and neural network design are presented. The proposed method is tested using historical load data of independent system operation New England. The results of the proposed model significantly outperform either accuracy or robustness results over neural network model.

A numerical study of the widely used fixed-threshold criterion for expressing transient stability constraints in optimal power flow (TSCOPF) is conducted. Based on a stability-region framework, a more accurate expression of transient stability constraint in TSCOPF is presented. A method for computing system exact threshold values is proposed and employed for the study of threshold values under different conditions. It is shown via numerical results on the WSCC9 and IEEE145 systems that the exact threshold value for each system and contingency is in fact not a constant, and can vary greatly depending on several factors such as types of contingency, loading conditions, and network topology.

Part of the bottom column in the frame structure is buried in the soil,sometimes it should be considered the affects from the body of the soil when calculating the ground floor of the frame structure. The Winkler assumes is quoted in this article, as considering the coefficient of the Soil-column interaction, the equivalent height calculating formula of the column restrained by the earth is deduced , this can change the frame structure that restrained by the earth into the commonly structure to calculate. It illustrates that the restrained load by the earth in the bottom of the structure has the big affects on the internal force and lateral. It provides a simple calculating method for such structure.

In this paper, the robust control problem of output dynamic observer-based control for a class of uncertain neutral systems with discrete and distributed time delays is considered. Linear matrix inequality (LMI) optimization approach is used to design the new output dynamic observer-based controls. Three classes of observer-based controls are proposed and the maximal perturbed bound is given. Based on the results of this paper, the constraint of matrix equality is not necessary for designing the observer-based controls.

In this paper, the finite element method (FEM) based on GTN model was used to investigate the in-plane/out-of-plane constraint and strength mismatch effects on local fracture resistance of A508/Alloy52Mb bimetallic joint. TheJ-resistance curves, crack growth paths and local stress-stain distributions in front of crack tips were calculated for cracks with different constraints and strength mismatches. The results show that the local fracture resistance of the interface crack in this joint is sensitive to constraint and strength mismatch effects. With increasing in-plane constraint (crack deptha/W), out-of-plane constraint (specimen thicknessB) and strength mismatch degree, the plastic strain and stress triaxiality around crack tip increase, and the corresponding crack growth resistance decreases. The crack with strength mismatch factorM=1 displays a markedly higher crack growth resistance than the other cracks withM>1 andM

The creep crack growth rate in Cr-Mo-V steel has been numerically predicted for specimens with different constraints for a wide range ofC*by using stress dependent creep model and ductility, and the simulatedda/dt-C*curves were compared and analyzed with experimental data. The results show that the simulatedda/dt-C*curves agree well with experimental data. At low and transitionC*regions, the crack-tip constraint has obvious effect on CCG rates, while at highC*region it almost has no effect. With increasing constraint, the CCG rates and transition region size onda/dt-C*curves increase due to higher stress traxiality ahead of crack tip and stress-regime dependent creep ductility. If the extrapolation CCG rate data of standard high constraint CT specimen from highC*region (above the turning point 2) or from transitionC*region are used in life assessments of the components with various constraints at lowC*region (below the turning point 1), the non-conservative or excessive conservative results may be produced. Therefore, the CCG rate data for considering constraint effect should be obtained for a wide range ofC*by long-term laboratory tests or numerical predictions using the stress dependent creep model and ductility.

In this paper, we consider the problem of local power constrained coherent distributed detection over fading multi-access channel (MAC). The deflection coefficient maximization (DCM) is used to optimize the performance of fusion system under local power constraint of sensors. We use the statistical information of channel gain to obtain the deflection coefficient of the detection statistics at the fusion center. We derive the closed-form solution to the considered optimization problem. Monte-Carlo simulations are carried out to verify the performance of the proposed method. Simulation results show that the proposed method could significantly improve the detection performance of the fusion system under local power constraint and low signal-to-noise ratio (SNR).

In order to automatically generate the railway Alignment, an alignment optimization method based on minimum cost is proposed. Firstly, an optimization model based on the coupling constraints of line-structure-environment is established, in which the comprehensive cost of engineering, operations, and the environment is considered as the objective function. Then based on the regular grids, the Geographic Information Data can be obtained and the comprehensive cost of the connection between two grids can be calculated. At last, the optimal connection between the grids is analyzed under the angle constraint and elevation constraint, thus the optimal alignment can be generated by the connection of grids.

An epipolar line constraint equation for robotic binocolar stereovision (BSV) is first established for the measurement and reconstruction of workpiece surface, in which the intrinsic parameters of two cameras and their extrinsic structural parameters with respect to a robotic reference base are included. To determine a sole matching point between left and right images, a laser emmiter is added to BSV to form a stripe on workpiece surface, experimental results show that the measurement accuracy of 3-dimensional (3-D) workpiece surface can be improved by combining epipolar line constraint with laser stripe projection, and the 3-D workpiece surface can be reconstructed with less errors.

The alternating direction method has been widespread used to solve multi-area economic dispatch problem. Compared with traditional centered economic dispatch, alternating direction method divides centered optimal problem into completely independent sub-problems while the corresponding equality and inequality constraints are satisfied. However, plenty of applications show that the choice of penalty parameter for the consistency constraint has an important influence on the convergence performance of alternating direction method. In this paper, we proposed a novel improved alternating direction method. To be more exact, the key is to adjust penalty parameter based on iterative information of alternating direction method. Numerical results illustrate the proposed method has better stability in convergence.

Joint Beamforming and power allocation schemes are considered for cognitive radio (CR) multiple input single output (MISO) system in this paper. We considered the robust downlink beamforming and power allocation problem with per-antenna power constraints which is more realistic in practice, instead of sum-power constraint, under the imperfect channel state information (CSI). Since the given optimization problem is a non-convex problem which is difficult to handle, we transformed it into second order cone program (SOCP) problem, which can be solved efficiently. Simulation shows that the proposed scheme indeed has a better performance in CR system.

This paperstudied the development of stress and strain influences by different constraintdegree based on the concrete thermal stress tests. furthermore, suggested thevalue range of the constraint degree in the thermal stress test.

In order to study the nonlinear vibration problems of cable with a particular constraint, the mathematical model for the object of study should be established firstly with the elastic mechanics method. In order to obtain the mathematical model of differential form, the Galerkin method is used to make the mathematical model discrete and modal truncation, so the infinite dimensional solution space of the mathematical model can be transformed into the finite dimensional one. Main factors influencing the vibration of the cable system are analyzed, and the simulation analysis about the effects of various parameters on frequency is carried out. The analysis results show that the internal resonance modes may exist, and provide a theoretical basis for improving the safety and reliability of laying cables in actual conditions.

In order to solve the contact problem of motional cable and plane, a physical model based on thin elastic rod theoryfor motional cable is proposed.The modelanalyzes the contact problem and formulates the constraint equations by using the Lagrange multiplier. The model is solved by the method of nonlinear constrained optimization. And an example of text is given to prove the feasibility of the model and the solution. The result shows that the model and solution can truly represent the deformation characteristics of the cable under smooth plane constraint.

As a benchmark to assess the performance of the control loops, MV (minimum variance) has been widely used in industrial process.MV control gives the lowest achievable output variance when there is no constraint on the actuator. In this paper, it shows that MV controller is no longer optimal and the mean of the output value is non-zero when the constraint is active and the parameter of the disturbance is approaching to one. In order to achieve the lowest variance of the output value, and the mean of the output value can be approaching to zero, a new approach is proposed in this paper. The proposed method is imposing a compensation value on the constrained MV control law, meanwhile, a new performance index function is introduced. As a result, it is believed that this method is more effective to the real industrial process for systems with actuator constraints and stochastic disturbances. Simulation example demonstrates the usefulness of this method.

By studying multicast routing algorithm for MANET, this paper proposes a new heuristic algorithm to improve MAODV performance. Algorithm calculate the cost function under the delay constraint conditions, dynamically adjust the leader node, thus reducing crowded areas produce, for MAODV provide Qos. Simulation results show that when the expansion of the network, this algorithm has less routing overhead, high efficiency.

According to the thermal experiment data and correction curve of heat supply units, the mathematical analysis formula of thermodynamic characteristic has been given accurately in this paper. Moreover, the mathematical model with objective function and the constraint condition for parallel operation of several heat supply units has been built up. By using simplex method and improved SCDD(Synthesized Constrained Dual Descent) method on the basis of the mathematical model, optimal distribution of heat and power load between heat supply units has been realized, and result indicates that this model is reliable and may achieve the goal of energy conservation.

Unsupervised Discriminant Projection (UDP) is a typical manifold-based dimensionality reduction method, and has been successfully applied in face recognition. However, UDP suffers from the small sample size problem and usually deteriorates because the basis vectors of UDP are statistically correlated. In order to resolve these problems, we propose an Optimal Uncorrelated Unsupervised Discriminant Projection (OUUDP).The aim of OUUDP is to seek a feature submanifold such that the local scatter is minimized and non-local scatter scatter is maximized simultaneously in the embedding space by using a difference-based optimization objective function. Moreover, we impose an appropriate constraint to make the extracted features statistically uncorrelated. As a result, OUUDP can solve the small sample size problem and exploit statistically uncorrelated features. Experimental results on ORL databases demonstrate the effectiveness of the proposed algorithm.

The measurement technology of 3D scanning in automation level is low, its measurement process is not stable, and the measurement error is large. After the principle of binocular structured light measurement was analyzed, match the marked point to multi-view registration based on the relative distance of any two marked point in space is unchanged. A multi-view registration is proposed using triangle constraint and global optimization. The method includes: remove the false matching points in possible matching points by joining triple constraint; after the first registration, use the center of marking points to global optimization through least squares principle method. The realization of the algorithm by use of tools such as VC++ and Open CV demonstrates that this method has the advantage of better restraining the accumulative error, keeping the process stable, and fast and realizing automatic registration.

This paper mainly discusses the optimal solution for hyper-sphere integral classification process of big data. The paper proposes an optimal calculation method for the target problem. Through statistics and analysis of big data, we get the constraint condition, and calculate a maximum value of data characteristic. Then, by the dual programming of Quadratic Programming, we obtain the optimal classification function for hyper-sphere integral classification process of big data. The experiment results show that the proposed algorithm can significantly improve the accuracy of the classification hyper-sphere integral for big data.

Polygon effect is the inherent characteristics of chain drive system, and also the main factor which restricts the transmission performance of the system. In this article a structure related to a slide constraint chain drive is presented and optimized by means of MATLAB optimization toolbox. Based on polygon effect analysis, a compensation method is proposed and verified by trajectory simulation. Simulation results show that the compensation method can effectively reduce the polygon effect of chain drive and improve the transmission performance of the chain drive system.

A novel 3-DOF parallel mechanism is presented and the inverse kinematics is derived by using geometric constraint between each rods. The co-simulation based on ADAMS is proceeded to verify the correctness of the inverse kinematics. This algorithm is the basis for the application of such parallel mechanism.

Congestion management is a hot point for research in power system. Optimal power flow (OPF) model is often used to solve this problem. However, the results cannot satisfy with market needing. To solve this problem, this paper presents a novel method of congestion management based on risk constraint and fuzzy optimization in electricity power markets. The risk constraint is used for transmission line thermal security instead of the traditional deterministic current or power constraint. The multi-objective functions are used to coordinate the conflict between security and efficiency of transmission network. Primal-Dual Interior Point Method (PDIPM) is adopted to solve the RBOPF problem. The method can minimize re-dispatch cost and the system operating risk.

In the word of service-oriented architecture and collaboration, it is important to deal with sub-services of cooperating components. In existing research, functions to meet and behavior predictability are two major aspects of Web services composition, but there are some limitations to treatment of behavioral constraints. Based on an open fuzzy Petri net, by using action patterns of behavioral profile, the paper analyzes behavior constraint under the condition that subnets composition are satisfied, puts forward a kind of method of deciding the composability of the subnets. Finally, the theoretical analysis and simulation results show the effectiveness of the method.

The traditional method of finite element that fixing constraint between suspension and chassis for the damaged aircraft recovery trailer chassis usually ignored the buffer function of suspension leading to too much stress, So aiming at that problem The constraint of trailer is fixed by the method of balance frame system. Based on FE-software ANSYS the FE module of trailer chassis and balance frame system is set up and their node is coupled by the force analysis of aircraft with half of fuel in damaged. It's result that the maximum stress is less than permissible stress.The result show that the method of balance frame system is more practical by computer simulation.

In order to determine the routing scheme of a line in city track traffic, a nonlinear constrained multi-objective 0-1 programming model is established, with the intervals as variables, and the optimal matching between the spatial characteristics of passenger demand and routing, as well as the minimization of operation cost as the objective functions. The equality constraint is built based on fuzzy clustering method, the number of variables is reduced, and the weighted coefficients are computed with objective function values. Taking Chongqing Rail Transit Line 1 as an example, a selectable routing scheme is calculated.

This paper concentrates on the risk assessment problem for accounting information system, which is an important problem in enterprise informatization construction. Firstly, we show that process of the accounting information system is made up three parts: 1) Implementation process of the accounting information system, 2) Processing of the accounting information, and 3) Management process of the accounting information system. Secondly, evaluation index system of the accounting information system risk assessment is given, which is a hierarchy structure with three layers. Thirdly, we introduce analytic hierarchy process to solve the problem of accounting information system risk assessment estimating. In analytic hierarchy process, an overall object is positioned in the top level, and the criteria in the middle level represents to the overall object. Furthermore, the perfectly consistent case where the pairwise comparisons matrix can be defined using a priority vector. Utilizing the interval weights, the maximum interval can be obtained, and then the index weights estimating problem can be converted to a linear programming problem with constraint conditions. Finally, experiments are conducted to make performance evolution, compared with expert’s evaluation and very positive results are obtained.

Operation number constraint of control means isn’t considered to traditional optimal power flow model, and at optimal solution all the control variables often be changed, which causes a tedious dispatching plan and is difficult to operate. In this paper, Optimal Power Flow (OPF) with constraints limiting the number of control actions was discussed, and 0-1 discrete variables of model was transformed to complementary constraint, then modern interior point algorithm was used for solving. Through simulation the relationship between generator number constraint on regulation of the active power output and optimization objective was explored, which could obtain best balance point on two, and close to conventional OPF optimization objective with reducing the number of regulation.

According to problems of deficiency guidance in the traditional virtual disassembly training, the planning method of disassembly operation process based on Petri-net is presented. By this method, Disassembly Petri-Net (DPN) model process-oriented is built. In this model, constraint relations for the process and generation rule for DPN are studied. At last, by taking the transmission of bulldozer as example, planning method and its solution aimed at timeliness are proposed. The example shows that the planning results can improve training effect significantly, which provides a practical and efficient training platform for trainees.

This paper designs a spatial data-centric tour and charging scheduler for electric vehicles, which need energy-efficient route planning, especially when visiting multiple destinations, due to their short driving range. Basically, the hybrid orienteering problem solver finds a feasible tour schedule for mandatory user-selected tour spots and optimal system-recommended charging spots, aiming at reducing the waiting time and meeting the given constraint. To recommend essential candidates, our system manages the information on tour spots and charging facilities in the spatial database, adjusting the bounding box size according to the pre-analysis result. The pre-analysis module can implement a sophisticated recommendation logic based on the preprocessed data customized mainly from geographic analysis. In addition, by continuously updating the current status of each charger, the recommender can catch the installation of new charging facilities and exclude the failed or overbooked chargers.

Based on solving maximum income model of hydropower plant and forming original bidding strategy, this paper used price coefficient to amend the original bidding strategy. Then it used the fibonacci method to obtain. Finally, it found the best stragety. The proposed stragety can coordinate the consumption of water in various period、 the relationship between water and quotation, it meet the constraint of water availability of plant and realize its optimal operation in the form of output-bidding, it also avoided the waste of water, then it insured the maximum income of the plant. Finally, a concrete example is given in detail to validate the practicability of the model and algorithm

Most studies are focused on topology optimization techniques under external static loads. However, all forces are dynamic in real world. Mathematical optimization with dynamic loads is almost impossible in a large-scale problem. Thus, the bi-directional evolutionary structural optimization method (BESO) is extended to the topology optimization problem of structure under transient dynamic loading. Structural stiffness optimization is performed with the objective of reducing the mean compliance during the whole load-time history. By the dynamical analysis, the stiffness optimization model is established based on BESO method. In this method, the material volume is taken as the constraint condition, and the minimum mean compliance of structure is taken as the objective function. A cantilever under harmonic load has been taken as a numerical example to show the effectiveness of the proposed approach.

Aiming at the processing problem of electric bus leaf spring equivalent model, the amendment leaf spring equivalent processing model is proposed after 3 kind leaf spring equivalent models are studied. This paper makes a comparison between the amendment leaf spring equivalent model and other models. Results show that the amendment leaf spring equivalent model not only considers the longitudinal force and lateral force of the leaf spring, but also avoids emergence the high stress area. So the amendment leaf spring equivalent model is more conform to the actual force situation of the electric bus frame, and it can provide the reliable constraint conditions for the next electric bus lightweight.

The paper take the distribution radius and carry capacity as constraint conditions, the author uses two-stage K-means algorithm to cluster community service shops, and determines the distribution region of distribution centers, and constructs a suitable model for distribution center’s locating. Basing on the clustering result, the incompatible two kinds items, i.e. fresh items and the items shopped online, are united in a model to be solved. Since bottom-up approach is used to build distribution network step by step, a multi-objective programming is converted into two relatively independent single goal programming, so the network’s optimization result is of good controllability, and the algorithm’s complexity is greatly reduced. Finally, take 100 communities fresh items as examples to implement algorithm.

The Skilled Workforce Project Scheduling Problem (SWPSP) is a complex problem of task scheduling and resource assignment that comes up in the daily management of many company Service Centers. In this paper we present a constraint programming (CP) approach for the SWPSP. We extend the project scheduling literature by developing a project scheduling model that accounts for differing skills among workers. The computational results for the SWPSP show that the constraint programming approach increases the performance of the model solving processes. The results for the SWPSP is effective in solving the proposed problem.

In order to solve the problem of large amount of calculation and real time is not high in the process of NURBS real-time interpolation feed speed planning, offline feed speed planning method is proposed, the method plan speed in non real-time cycle, and generate the feed speed curve. In order to meet the machine tool dynamics constraint, the maximum acceleration and the jerk constraints were considered fully in the planning process. The simulation analysis show that the proposed method can greatly reduce the amount of computing tasks in real-time interpolation cycle, improve the real-time performance of interpolation; At the same time, the speed curve of the planning satisfies the requirement of machine tool dynamics, has the good effect of feeding speed smooth, is helpful to improve the interpolation precision.

In this paper, a simulation method of detection probability of aircraft target for Over-The-Horizon Radar (OTHR) by computer is proposed. The effects of different ionosphere states on detection range for OTHR is concluded, which become constraint on simulation of detection probability. Taking variety of target RCS with attitude during flight through given track into consideration, simulation model of target dynamic RCS is established. Models of instantaneous detection probability and comprehensive detection probability are also presented. Then, detection probability of aircraft can be obtained through utilizing all models above based on given calculation steps. Simulations show that ionosphere state and target RCS have a great influence on detection probability.

The structural synthesis is the primary and the most important issue in the process of mechanism creative design. In the paper, Firstly, select a 1T symmetric parallel mechanism, and the constraint and mobility of the branches can be analyzed. With the method of linear combination of the screws, the new branches are constructed. Then, using the measure of separation and merger, parts of the limbs of the parallel mechanism can be replaced by equivalent coupled structures, so corresponding symmetric coupling mechanisms with equal mobility are synthesized. Finally, solving the constraint screws of the branch of the coupling mechanism, in order to prove the hybrid mechanism is full-cycle or not.

This paper is mainly discussed the establishment of the unified constraint expression of simulation optimization model. Express all kinds of element constraints with unified physical mathematical mapping mechanism, uniform the model representation of product components in each domain and establish the unified expression model, in order to facilitate the follow-up simulation solution of multi-domain constraint system.

Only the preliminary stage of piping process can be simulated by current seepage-erosion coupled piping model. In order to enhance the simulation capability, a modified piping model is presented. Theory analysis shows that the governing equations of the modified piping model have significant advantages in practicality and solution accuracy. The solving process of the model is analyzed, with the result showing that the out-of-bounds appearance of the field variables is the major factor interrupting the solving process. Then a new solution technique called dynamic constraint is proposed, which can ensure the validity of field variables. Numerical example indicates that the new governing equations and dynamic constraint technique can enormously enhance the simulation capability of the model, and the piping process can be effectively simulated.

It is difficult to calculate dynamic equilibrium configuration in the mechanical systems, especially with the constraint conditions. In this paper, a method to calculate the dynamic equilibrium positions in the constrained mechanical systems is proposed. The accelerations of independent coordinates are derived in the algebraic form so that the numerical solution is easily obtained by the iteration method. The proposed method has been applied to calculate the dynamic equilibrium configuration for speed governor and the wheelset of railway vehicle.

This paper provides the simulation for a designed vehicle dispatching and routing system for safe and efficient vehicle transportation. The objective of the simulation is to verify the performance of the cooperative dispatching and routing decisions for vehicles within a specific area consisting of streets and several intersections. In addition to computing a specific routing path for the arrival vehicle based on its destination and safety considerations, the proposed scheme provides a detour mechanism under the transportation cost constraint. This paper also points out the existence of hidden conflicting path problems in the dispatching approach and proposes a backtracking approach to solve this problem at the route decision phase so that the travel time can be guaranteed. The simulation results show that the proposed scheme can effectively assign the vehicles with proper routes and without any collisions with good performance.

To solve the problem of early-age concrete shrinkage under constraint, 0%, 2%, 3%MgO expansion agent are mixed in the concrete. Results indicate that MgO expansion agent can ensure the expansion strain of the concrete and produce the self-stress under constraint which is up to 1.8Mpa~2.2Mpa.

The rank one NMF blind source separation algorithm (NMF-R1) was obtained by imposing the sparsity constraint on the fast NMF algorithm based rank one. NMF blind source separation algorithm based on least squares (NMF-LS) was obtained by using pseudo-inverse matrix. NMF-R1 algorithm was superior to the existing blind source separation algorithms based on NMF. NMF-LS algorithm had faster computation speed, but the result of decomposition was not unique. In order to further enhance the signals separated performance, crossover iteration between NMF-R1 and NMF-LS was used to getting the mixing matrix and the signal matrix, and the mixed NMF blind source separation algorithm (NMF-LR) was obtained. Simulation results show that the separation performance of NMF-LR algorithm is better than that of NMF-R1 and NMF-LS, and the computation complexity of NMF-LR algorithm is nearly the same as NMF-R1 algorithm.

Focus on the problem that traditional aircraft design thought can’t meet the security and economy requirement of modern aircraft, studying the optimum design method based on damage tolerance for overall beam. For example with aircraft overall beam, constructed the optimization model based on support vector machine agent model with the lightest weight of the structure as the optimization objective, the minimum residual strength value as the constraint, section parameters as the design variables, through mathematical programming, get the optimization results under different residual strength requirement value, and calculate the crack growth life.

In this paper, through the analysis on the basic idea, characteristics of direct searching method, optimization calculation steps and constraint conditions have been concluded, and direct searching method was applied to the research on the reliability allocation problem in a complex weapon system to prove its feasibility. This paper is of great significance to the study of reliability distribution of weapon system.