Topological Optimization Analysis of Continuum Structure With Displacement Constraints
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摘要: 为了研究位移约束下多工况连续体结构拓扑优化问题,基于ICM(独立、连续、映射)方法,建立了以结构质量为目标的拓扑优化模型.刊用单位虚载荷法,将位移约束表示为设计变量的显式关系.另外,利用对偶理论,将建立的优化模型转化为对偶模型,用序列二次规划法进行求解,从而减少了设计变量的数目,提高了求解效率.利用PCL语言在MSC/Patran开发平台上对本算法进行了实现,二维和三维连续体结构的数值算例表明了该方法的可行性与有效性.Abstract: The optimal topology model is established based on ICM(independent continuous mapping)method- ology in order to study a topological optimization of continuum structure with displacement constraints under multiple load cases.The optimal refers to the structural mass as objective.And an explicit formulation of dis- placement that is of global with related to topological variables is presented by using of unit virtual load method.In addition,the dual model corresponding to the optimal model of continuum structure is solved by the serial quadratic programming.Consequently,the number of design variables is decreased and the efficien- cy of computation is improved.Furthermore,the present optimal model and its algorithm have been imple- mented by means of the MSC/Patran software platform using PCL(patran command language).Numerical examples about 2D and 3D continuum structures indicate that the method is effective and efficient.
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Keywords:
- optimization /
- topology /
- continuum structures
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