程耿东
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A new approach for the solution of singular optimum in structural topology optimization
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Indexed by:期刊论文

Date of Publication:1997-05-01

Journal:ACTA MECHANICA SINICA

Included Journals:SCIE、Scopus

Volume:13

Issue:2

Page Number:171-178

ISSN No.:0567-7718

Key Words:topology optimization; point to set mapping; singular optima

Abstract:In order to overcome the difficulties caused by singular optima, in the present paper, a new method for the solutions of structural topology optimization problems is proposed. The distinctive feature of this method is that instead of solving the original optimization problem directly, we turn to seeking the solutions of a sequence of approximated problems which are formulated by relaxing the constraints of the original problem to some extent. The approximated problem can be solved efficiently by employing the algorithms developed for sizing optimization problems because its solution is not singular. It can also be proved that when the relaxation parameter is tending to zero, the solution of the approximated problem will converge to the solution of the original problem uniformly. Numerical examples illustrate the effectiveness and validity of the present approach. Results are also compared with those obtained by traditional methods.

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Gender:Male

Alma Mater:丹麦技术大学

Degree:Doctoral Degree

School/Department:力学与航空航天学院

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