连续体拓扑优化的浮动参考应变能密度法

FLOATING INTERVAL APPROACH FOR TOPOLOGY OPTIMIZATION OF CONTINUUM STRUCTURES

  • 摘要: 采用浮动区间法分析连续体结构拓扑优化问题. 该方法的要点是:将结构的拓扑优化过程看作骨骼生长过程,而生长过程由浮动应变能密度区间控制,即一点处材料的增减由该点处材料的应变能密度与参考区间比较确定. 参考区间的更新由优化问题的主动约束给出. 通过两个数值算例验证了该方法的可行性.

     

    Abstract: A floating interval method is proposed for topologyoptimization problems of continuum structures. The major idea of thepresent approach is to consider the structure to be optimized as a piece ofbone, whose growing process is controlled by an floating interval ofreference strain energy density, i.e., the update of each material point inthe design domain is determined by its current strain energy density and thereference interval. The update of the reference interval is determined bythe active constraint of the optimization problem. Two numerical examples aregiven to show the validity of the present approach.

     

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