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Power flow analysis based dynamic topology optimization of vibrational structures

Power flow analysis based dynamic topology optimization of vibrational structures
Power flow analysis based dynamic topology optimization of vibrational structures
This paper presents a power plow analysis based dynamic topology optimization of vibrational structures. Up to now, work on topology dynamic optimization of engineering structures for vibration suppression has mainly addressed the maximization of eigenfrequencies and gaps between consecutive eigenfrequencies of free vibration, and minimization of the dynamic compliance subject to harmonic loading on the structure. In this paper, we deal with topology optimization problems formulated directly with the design objective of minimizing the “Energy compliance”, derived from the energy flow equilibrium equation in steady state. The structural vibrations are excited by time-harmonic external mechanical loading with prescribed frequency and amplitude. A density based topology
optimization method is developed for power flow problems in steady state using an adjoint design sensitivity analysis (DSA) method. Design variables are parameterized using Bi-material Solid Isotropic Material with Penalization (SIMP) models. The structural damping is considered as Rayleigh damping. The method of Moving Asymptotes (MMA) is applied for design updating. Several numerical examples are demonstrated for different loading frequencies.
power flow analysis, topology optimization, bi-material, vibrational structures
Xue, Xiaoguang
27f3ac82-7e26-491b-86dd-56cd0f047346
Li, Guoxi
aa5a2cad-8bc1-4103-98f6-55be8fdd67c4
Xiong, Yeping
51be8714-186e-4d2f-8e03-f44c428a4a49
Gong, Jingzhong
b6ee8cbf-5e1e-4924-8348-fd005edcdf75
Xue, Xiaoguang
27f3ac82-7e26-491b-86dd-56cd0f047346
Li, Guoxi
aa5a2cad-8bc1-4103-98f6-55be8fdd67c4
Xiong, Yeping
51be8714-186e-4d2f-8e03-f44c428a4a49
Gong, Jingzhong
b6ee8cbf-5e1e-4924-8348-fd005edcdf75

Xue, Xiaoguang, Li, Guoxi, Xiong, Yeping and Gong, Jingzhong (2012) Power flow analysis based dynamic topology optimization of vibrational structures. the 3rd International Conference on Engeneering Optimization (ENGOPT 2012). 01 - 05 Jul 2012.

Record type: Conference or Workshop Item (Paper)

Abstract

This paper presents a power plow analysis based dynamic topology optimization of vibrational structures. Up to now, work on topology dynamic optimization of engineering structures for vibration suppression has mainly addressed the maximization of eigenfrequencies and gaps between consecutive eigenfrequencies of free vibration, and minimization of the dynamic compliance subject to harmonic loading on the structure. In this paper, we deal with topology optimization problems formulated directly with the design objective of minimizing the “Energy compliance”, derived from the energy flow equilibrium equation in steady state. The structural vibrations are excited by time-harmonic external mechanical loading with prescribed frequency and amplitude. A density based topology
optimization method is developed for power flow problems in steady state using an adjoint design sensitivity analysis (DSA) method. Design variables are parameterized using Bi-material Solid Isotropic Material with Penalization (SIMP) models. The structural damping is considered as Rayleigh damping. The method of Moving Asymptotes (MMA) is applied for design updating. Several numerical examples are demonstrated for different loading frequencies.

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More information

Published date: July 2012
Venue - Dates: the 3rd International Conference on Engeneering Optimization (ENGOPT 2012), 2012-07-01 - 2012-07-05
Keywords: power flow analysis, topology optimization, bi-material, vibrational structures
Organisations: Civil Maritime & Env. Eng & Sci Unit

Identifiers

Local EPrints ID: 352901
URI: http://eprints.soton.ac.uk/id/eprint/352901
PURE UUID: b96607c4-a928-4f0e-85e5-f72e5ac43e4e
ORCID for Yeping Xiong: ORCID iD orcid.org/0000-0002-0135-8464

Catalogue record

Date deposited: 20 May 2013 13:52
Last modified: 06 Jun 2018 12:51

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