8 results on '"Yichang Shen"'
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2. Nonlinearity enhanced wave bandgaps in metamaterial honeycombs embedding spider web-like resonators
- Author
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Yichang Shen and Walter Lacarbonara
- Subjects
Acoustics and Ultrasonics ,Mechanics of Materials ,Mechanical Engineering ,Condensed Matter Physics - Published
- 2023
3. Nonlinear dispersion properties of metamaterial beams hosting nonlinear resonators and stop band optimization
- Author
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Yichang Shen and Walter Lacarbonara
- Subjects
Control and Systems Engineering ,Mechanical Engineering ,Dispersion properties ,Method of multiple scales ,Nonlinear wave propagation ,Nonlinear resonators/absorbers ,Signal Processing ,Aerospace Engineering ,Computer Science Applications ,Civil and Structural Engineering - Published
- 2023
4. Non-intrusive reduced order modelling for the dynamics of geometrically nonlinear flat structures using three-dimensional finite elements
- Author
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Loic Salles, Arthur Givois, Yichang Shen, Alessandra Vizzaccaro, Olivier Thomas, Jean-François Deü, Pierluigi Longobardi, Cyril Touzé, Imperial College London, Laboratoire d’Ingénierie des Systèmes Physiques et Numériques (LISPEN), Arts et Métiers Sciences et Technologies, HESAM Université (HESAM)-HESAM Université (HESAM), Institut des Sciences de la mécanique et Applications industrielles (IMSIA - UMR 9219), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-École Nationale Supérieure de Techniques Avancées (ENSTA Paris)-Centre National de la Recherche Scientifique (CNRS)-Université Paris-Saclay-EDF R&D (EDF R&D), EDF (EDF)-EDF (EDF), Conservatoire National des Arts et Métiers [CNAM] (CNAM), HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-École Nationale Supérieure de Techniques Avancées (ENSTA Paris)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-EDF R&D (EDF R&D), and Laboratoire de Mécanique des Structures et des Systèmes Couplés (LMSSC)
- Subjects
FOS: Computer and information sciences ,Technology ,geometric nonlinearities ,Computational Mechanics ,Degrees of freedom (statistics) ,02 engineering and technology ,0915 Interdisciplinary Engineering ,01 natural sciences ,Modal derivatives ,VIBRATIONS ,Nonlinear modes ,Computational Engineering, Finance, and Science (cs.CE) ,[SPI]Engineering Sciences [physics] ,0203 mechanical engineering ,Mécanique: Mécanique des structures [Sciences de l'ingénieur] ,Computer Science - Computational Engineering, Finance, and Science ,010301 acoustics ,Physics ,Applied Mathematics ,Mathematical analysis ,Stiffness ,Computational mathematics ,modal derivatives ,Finite element method ,Computational Mathematics ,020303 mechanical engineering & transports ,Computational Theory and Mathematics ,thickness modes ,Physical Sciences ,SPHERICAL-SHELLS ,Thickness modes ,medicine.symptom ,nonlinear modes ,BEHAVIOR ,0913 Mechanical Engineering ,Mathematics, Interdisciplinary Applications ,Reduced order modeling ,Structure (category theory) ,Ocean Engineering ,Context (language use) ,Mechanics ,COMPUTATION ,0905 Civil Engineering ,Modified STiffness Evaluation Procedure ,SYSTEMS ,0103 physical sciences ,medicine ,NORMAL-MODES ,Science & Technology ,IDENTIFICATION ,Mechanical Engineering ,REDUCTION METHOD ,three-dimensional effect ,[SPI.MECA.VIBR]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Vibrations [physics.class-ph] ,FRAMEWORK ,Nonlinear system ,Modal ,[SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph] ,Three-dimensional effect ,Geometric nonlinearities ,TURBULENCE ,Mathematics ,reduced order modeling - Abstract
Non-intrusive methods have been used since two decades to derive reduced-order models for geometrically nonlinear structures, with a particular emphasis on the so-called STiffness Evaluation Procedure (STEP), relying on the static application of prescribed displacements in a finite-element context. We show that a particularly slow convergence of the modal expansion is observed when applying the method with 3D elements, because of nonlinear couplings occurring with very high frequency modes involving 3D thickness deformations. Focusing on the case of flat structures, we first show by computing all the modes of the structure that a converged solution can be exhibited by using either static condensation or normal form theory. We then show that static modal derivatives provide the same solution with fewer calculations. Finally, we propose a modified STEP, where the prescribed displacements are imposed solely on specific degrees of freedom of the structure, and show that this adjustment also provides efficiently a converged solution., Comment: 6 tables, 14 figures, 27 pages
- Published
- 2020
5. Reduced order models for geometrically nonlinear structures: assessment of implicit condensation in comparison with invariant manifold approach
- Author
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Attilio Frangi, Natacha Béreux, Yichang Shen, Cyril Touzé, Institut des Sciences de la mécanique et Applications industrielles (IMSIA - UMR 9219), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-École Nationale Supérieure de Techniques Avancées (ENSTA Paris)-Centre National de la Recherche Scientifique (CNRS)-Université Paris-Saclay-EDF R&D (EDF R&D), EDF (EDF)-EDF (EDF), Politecnico di Milano [Milan] (POLIMI), and Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-École Nationale Supérieure de Techniques Avancées (ENSTA Paris)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-EDF R&D (EDF R&D)
- Subjects
Monomial ,Current (mathematics) ,Discretization ,Invariant manifold ,General Physics and Astronomy ,02 engineering and technology ,01 natural sciences ,law.invention ,0203 mechanical engineering ,law ,Normal mode ,0103 physical sciences ,General Materials Science ,[NLIN]Nonlinear Sciences [physics] ,010301 acoustics ,ComputingMilieux_MISCELLANEOUS ,Mathematics ,Mechanical Engineering ,Mathematical analysis ,[SPI.MECA.VIBR]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Vibrations [physics.class-ph] ,[SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph] ,Finite element method ,Nonlinear system ,020303 mechanical engineering & transports ,Mechanics of Materials ,[SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph] ,Manifold (fluid mechanics) - Abstract
A comparison between two methods to derive reduced-order models (ROM) for geometrically nonlinear structures is proposed. The implicit condensation and expansion (ICE) method relies on a series of applied static loadings. From this set, a stress manifold is constructed for building the ROM. On the other hand, nonlinear normal modes rely on invariant manifold theory in order to keep the key property of invariance for the reduced subspaces. When the model coefficients are fully known, the ICE method reduces to a static condensation. However, in the framework of finite element discretization, getting all these coefficients is generally too computationally expensive. The stress manifold is shown to tend to the invariant manifold only when a slow/fast decomposition between master and slave coordinates can be assumed. Another key problem in using the ICE method is related to the fitting procedure when a large number of modes need to be taken into account. A simplified procedure, relying on normal form theory and identification of only resonant monomial terms in the nonlinear stiffness, is proposed and contrasted with the current method. All the findings are illustrated on beams and plates examples.
- Published
- 2020
6. Direct computation of nonlinear mapping via normal form for reduced-order models of finite element nonlinear structures
- Author
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Loic Salles, Jiří Blahoš, Cyril Touzé, Alessandra Vizzaccaro, Yichang Shen, Imperial College London, Institut des Sciences de la mécanique et Applications industrielles (IMSIA - UMR 9219), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-École Nationale Supérieure de Techniques Avancées (ENSTA Paris)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-EDF R&D (EDF R&D), EDF (EDF)-EDF (EDF), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-École Nationale Supérieure de Techniques Avancées (ENSTA Paris)-Centre National de la Recherche Scientifique (CNRS)-Université Paris-Saclay-EDF R&D (EDF R&D), and Touzé, Cyril
- Subjects
DYNAMICS ,FOS: Computer and information sciences ,Technology ,Normal form ,Computational Mechanics ,General Physics and Astronomy ,010103 numerical & computational mathematics ,Reduced order modelling ,01 natural sciences ,09 Engineering ,Computational Engineering, Finance, and Science (cs.CE) ,[SPI]Engineering Sciences [physics] ,Engineering ,Computer Science - Computational Engineering, Finance, and Science ,Mathematics ,cs.CE ,Applied Mathematics ,Mathematical analysis ,Numerical Analysis (math.NA) ,Invariant (physics) ,Finite element method ,Computer Science Applications ,010101 applied mathematics ,Mechanics of Materials ,Physical Sciences ,A priori and a posteriori ,Normal coordinates ,[SPI.MECA.VIBR] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Vibrations [physics.class-ph] ,[SPI.MECA.STRU] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph] ,Subspace topology ,Mathematics, Interdisciplinary Applications ,DECOMPOSITION ,math.NA ,[SPI] Engineering Sciences [physics] ,Invariant manifold ,[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] ,[MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS] ,Engineering, Multidisciplinary ,SPECTRAL SUBMANIFOLDS ,Mechanics ,CYLINDRICAL-SHELLS ,SYSTEMS ,NUMERICAL COMPUTATION ,FOS: Mathematics ,Mathematics - Numerical Analysis ,0101 mathematics ,MODAL DERIVATIVES ,cs.NA ,01 Mathematical Sciences ,Science & Technology ,Nonlinear mapping ,Mechanical Engineering ,[SPI.MECA.VIBR]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Vibrations [physics.class-ph] ,REDUCTION ,Nonlinear system ,[SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph] ,Phase space ,Geometric nonlinearities ,LARGE-AMPLITUDE VIBRATIONS ,PERIODIC VIBRATION - Abstract
The direct computation of the third-order normal form for a geometrically nonlinear structure discretised with the finite element (FE) method, is detailed. The procedure allows to define a nonlinear mapping in order to derive accurate reduced-order models (ROM) relying on invariant manifold theory. The proposed reduction strategy is direct and simulation free, in the sense that it allows to pass from physical coordinates (FE nodes) to normal coordinates, describing the dynamics in an invariant-based span of the phase space. The number of master modes for the ROM is not a priori limited since a complete change of coordinate is proposed. The underlying theory ensures the quality of the predictions thanks to the invariance property of the reduced subspace, together with their curvatures in phase space that accounts for the nonresonant nonlinear couplings. The method is applied to a beam discretised with 3D elements and shows its ability in recovering internal resonance at high energy. Then a fan blade model is investigated and the correct prediction given by the ROMs are assessed and discussed. A method is proposed to approximate an aggregate value for the damping, that takes into account the damping coefficients of all the slave modes, and also using the Rayleigh damping model as input. Frequency-response curves for the beam and the blades are then exhibited, showing the accuracy of the proposed method., 34 pages, 10 figures, 2 tables, submitted to CMAME
- Published
- 2020
7. An efficient method to quench excess vibration for a harmonically excited damped plate
- Author
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Xiang Zhou, Philip D. Cha, and Yichang Shen
- Subjects
Quenching ,Physics ,Mechanical Engineering ,Acoustics ,Vibration amplitude ,02 engineering and technology ,Condensed Matter Physics ,01 natural sciences ,Displacement (vector) ,Vibration ,020303 mechanical engineering & transports ,Amplitude ,0203 mechanical engineering ,Mechanics of Materials ,Excited state ,0103 physical sciences ,Harmonic ,General Materials Science ,010301 acoustics ,Civil and Structural Engineering - Abstract
In this paper, a simple and efficient method to suppress excess vibration on an arbitrarily supported rectangular damped plate subjected to steady-state harmonic excitations is developed. This vibration suppression is achieved by enforcing points of zero displacement, or otherwise referred to as nodes, at desired locations on the plate using properly tuned damped vibration absorbers. A systematic design procedure that consists of two steps is introduced to enforce the specified nodes. In the first step, sets of feasible attachment locations for the absorbers are identified, and in the second step, the required absorber parameters that are physically realizable are obtained, under the constraints of a tolerable vibration amplitude for the absorber masses. Numerical experiments show that by inducing nodes at the appropriate locations, points of nearly zero vibration amplitudes can be enforced, effectively quenching vibration in that region of the plate.
- Published
- 2018
8. Imposing points of zero displacement and zero slopes on a plate subjected to steady-state harmonic excitation
- Author
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Xiang Zhou, Philip D. Cha, and Yichang Shen
- Subjects
Physics ,Steady state ,Mechanical Engineering ,Mathematical analysis ,Zero (complex analysis) ,Aerospace Engineering ,02 engineering and technology ,01 natural sciences ,Displacement (vector) ,Harmonic excitation ,020303 mechanical engineering & transports ,0203 mechanical engineering ,Mechanics of Materials ,Simple (abstract algebra) ,0103 physical sciences ,Automotive Engineering ,Harmonic ,General Materials Science ,010301 acoustics - Abstract
In this paper, a simple and effective method to enforce fixed nodes, or points of zero displacement and zero slope, on an arbitrarily supported rectangular plate subjected to steady-state harmonic excitations is developed. This is achieved by attaching properly tuned translational and rotational oscillators at specified locations. The governing equations of the combined system are first derived using the assumed-modes method. By enforcing the conditions of zero displacements and zero slopes simultaneously, a set of constraint equations are formulated, from which the oscillator parameters can be determined. When the attachment locations coincide with the desired fixed node locations, it is always possible to select the oscillator parameters such that one or multiple fixed nodes are induced at any locations on the plate for any excitation frequency. When the attachment and the desired node locations are not collocated, it is only possible to induce nodes at certain locations on the plate. When the fixed node locations are judiciously chosen, a selected region of the plate can be made to remain nearly stationary. Thus, the proposed method provides a simple and yet effective means to passively control excessive vibrations.
- Published
- 2017
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