频率双向渐进优化方法中新的插值技术

New extrapolation technology in bidirectional frequency evolutionary structural optimization method

研究了拓扑结构优化中的插值技术。针对传统的频率双向渐进优化方法所采取的代数外插方式只能用于规则的矩形单元或长方体单元的情形,根据当前结构的主振型,建立静力平衡方程组,从而计算出边界单元新增加结点的模态位移。这种插值技术可以将双向渐进优化方法推广运用于任意形状的单元。仿真算例表明,该方法有效可行。

The extrapolation technology in structural topology optimization was discussed.In view of that the traditional extrapolation method in bidirectional evolutionary structural optimization method can only be applied in the case of regular rectangle element or cuboidal element,a novel extrapolation approach based on a new idea was presented.After the normal modes analysis,according to the known displacements of the nodes in the intra-domain,unknown displacements of the nodes on the boundaries of the structure will be calculated by linear static method.The method can be popularized on arbitrarily elements.The example demonstrates the effectiveness of the method proposed.