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Topology optimization of a mechanical component subject to dynamical constraints

Sonia Calvel (sonia.calvel***at***voila.fr)
Marcel Mongeau (mongeau***at***cict.fr)

Abstract: This paper is concerned with the optimization of continuum structures under dynamic loading using methods from topology design. The constraint functions are non-linear and implicit, their evaluation requires the resolution of a computation-intensive finite-element analysis performed by a black-box commercial structural mechanics software such as MSC/Nastran. We first present a brief overview of topology optimization methods. Then, we propose a practical topology design methodology for handling problems with dynamic constraints over a range of forcing frequencies. We also introduce a new interpolation scheme for the SIMP method that can remove spurious modes in low-density areas and that allows fill-in. We present encouraging 3-D computational experiments on the design of a specific car component for Renault under acoustic and vibratory constraints, using a public-domain sequential quadratic programming software to drive the overall optimization process.

Keywords: topology design, topology optimization, structural design, structural optimization, fictive material method, SIMP method, dynamic constraints, automotive industry, mathematical programming, sequential quadratic programming.

Category 1: Applications -- Science and Engineering

Category 2: Applications -- OR and Management Sciences

Category 3: Optimization Software and Modeling Systems

Citation: Technical report LAAS N05374 LAAS-CNRS, Toulouse, France. July 2005

Download: [Compressed Postscript]

Entry Submitted: 08/26/2005
Entry Accepted: 08/26/2005
Entry Last Modified: 08/26/2005

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