Power flow analysis based dynamic topology optimization of vibrational structures

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). 30 Jun - 04 Jul 2012.

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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Contributors

Author: Yeping Xiong

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