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摘要:
In order to overcome the difficulties of large number of stress constraints and high cost in calculating the stress sensitivities in the topology optimization with stress constraints, this paper proposes the ICM method for structural topology optimization with condensation of stress constraints. Using the theory of Mises strength to transform stress constraints into strain energy constraints, two approaches are proposed for condensation of stress constraints. One is globalization of stress constraints, the other is integration of stress constraints. Then the optimal model with a weight objective and condensed strain energy constraint is established, and the dual theory is used in the optimal model of continuum structure to obtain the numerical solution. Four examples show that the method has high computational efficiency and a reasonable optimal topology can be obtained. In addition, this method is valid not only for two dimensional continuum structure but also for three dimensional continuum structure.
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来源 :
Chinese Journal of Theoretical and Applied Mechanics
ISSN: 0459-1879
年份: 2007
期: 4
卷: 39
页码: 554-563
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