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Power flow response based dynamic topology optimization of bi-material plate structures

Power flow response based dynamic topology optimization of bi-material plate structures
Power flow response based dynamic topology optimization of bi-material plate structures
Work on dynamic topology optimization of engineering structures for vibration suppression has mainly addressed the maximization of eigenfrequencies and gaps between consecutive eigenfrequencies of free vibration, minimization of the dynamic compliance subject to forced vibration, and minimization of the structural frequency response. A dynamic topology optimization method of bimaterial plate structures is presented based on power flow analysis. Topology optimization problems formulated directly with the design objective of minimizing the power flow response are dealt with. In comparison to the displacement or velocity response, the power flow response takes not only the amplitude of force and velocity into account, but also the phase relationship of the two vector quantities. The complex expression of power flow response is derived based on time-harmonic external mechanical loading and Rayleigh damping. The mathematical formulation of topology optimization is established based on power flow response and bimaterial solid isotropic material with penalization(SIMP) model. Computational optimization procedure is developed by using adjoint design sensitivity analysis and the method of moving asymptotes(MMA). Several numerical examples are presented for bimaterial plate structures with different loading frequencies, which verify the feasibility and effectiveness of this method. Additionally, optimum results between topological design of minimum power flow response and minimum dynamic compliance are compared, showing that the present method has strong adaptability for structural dynamic topology optimization problems. The proposed research provides a more accurate and effective approach for dynamic topology optimization of vibrating structures.
dynamic topology optimization, power flow response, bi-material, plate structures
1000-9345
620-628
Xue, X.
78c9fb34-2864-4898-932d-c60b7a4bd637
Li, G.X.
9b70cc2c-ee48-4671-bf39-1b50642b0c62
Xiong, Y.P.
51be8714-186e-4d2f-8e03-f44c428a4a49
Gong, J.Z.
9a05196e-c964-4152-8732-156336147ef8
Xue, X.
78c9fb34-2864-4898-932d-c60b7a4bd637
Li, G.X.
9b70cc2c-ee48-4671-bf39-1b50642b0c62
Xiong, Y.P.
51be8714-186e-4d2f-8e03-f44c428a4a49
Gong, J.Z.
9a05196e-c964-4152-8732-156336147ef8

Xue, X., Li, G.X., Xiong, Y.P. and Gong, J.Z. (2013) Power flow response based dynamic topology optimization of bi-material plate structures. Chinese Journal of Mechanical Engineering, 26 (3), 620-628. (doi:10.3901/CJME.2013.03.620).

Record type: Article

Abstract

Work on dynamic topology optimization of engineering structures for vibration suppression has mainly addressed the maximization of eigenfrequencies and gaps between consecutive eigenfrequencies of free vibration, minimization of the dynamic compliance subject to forced vibration, and minimization of the structural frequency response. A dynamic topology optimization method of bimaterial plate structures is presented based on power flow analysis. Topology optimization problems formulated directly with the design objective of minimizing the power flow response are dealt with. In comparison to the displacement or velocity response, the power flow response takes not only the amplitude of force and velocity into account, but also the phase relationship of the two vector quantities. The complex expression of power flow response is derived based on time-harmonic external mechanical loading and Rayleigh damping. The mathematical formulation of topology optimization is established based on power flow response and bimaterial solid isotropic material with penalization(SIMP) model. Computational optimization procedure is developed by using adjoint design sensitivity analysis and the method of moving asymptotes(MMA). Several numerical examples are presented for bimaterial plate structures with different loading frequencies, which verify the feasibility and effectiveness of this method. Additionally, optimum results between topological design of minimum power flow response and minimum dynamic compliance are compared, showing that the present method has strong adaptability for structural dynamic topology optimization problems. The proposed research provides a more accurate and effective approach for dynamic topology optimization of vibrating structures.

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Published date: 10 February 2013
Keywords: dynamic topology optimization, power flow response, bi-material, plate structures
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 352859
URI: http://eprints.soton.ac.uk/id/eprint/352859
ISSN: 1000-9345
PURE UUID: 78465c2d-b2fc-45ef-a371-ecd794047a73
ORCID for Y.P. Xiong: ORCID iD orcid.org/0000-0002-0135-8464

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Date deposited: 20 May 2013 11:59
Last modified: 20 Jul 2019 01:07

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Contributors

Author: X. Xue
Author: G.X. Li
Author: Y.P. Xiong ORCID iD
Author: J.Z. Gong

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