Structural topology synthesis with dynamics and nonlinearities using equivalent linear systems |
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Authors: | Phani?Motamarri Email author" target="_blank">Anand?RamaniEmail author Anshul?Kaushik |
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Affiliation: | (1) India Science Lab., General Motors Global Research and Development, GM Technical Centre India Pvt. Ltd., Creator Building, International Tech Park Ltd., Whitefield Road, Bangalore, 560 066, India;(2) Department of Mechanical Engineering, University of Michigan, 3812 EECS Building, Ann Arbor, MI 48109, USA |
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Abstract: | Topology optimization for nonlinear and dynamic problems is expensive because of the necessity to solve the equations of motion
at every optimization iteration in order to evaluate the objective function and constraints. In this work, an iterative methodology
is developed using the concept of an equivalent linear system for the topology synthesis of structures undergoing nonlinear
and dynamic response, using minimal nonlinear response evaluations. The approach uses equivalent loads obtained from nonlinear
dynamic analysis to perform optimization iterations, during the course of which the nonlinear and dynamic system is continuously
approximated. In this process, the optimization is decoupled from the nonlinear dynamic analysis. Results are presented for
various kinds of nonlinear and dynamic problems showing the effectiveness of the developed approach. |
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Keywords: | |
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