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论文类型：期刊论文

发表时间：1997-05-01

发表刊物：ACTA MECHANICA SINICA

收录刊物：SCIE、Scopus

卷号：13

期号：2

页面范围：171-178

ISSN号：0567-7718

关键字：topology optimization; point to set mapping; singular optima

摘要：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.