连续体拓扑优化的浮动参考应变能密度法

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.

FLOATING INTERVAL APPROACH FOR TOPOLOGY OPTIMIZATION OF CONTINUUM STRUCTURES

A floating interval method is proposed for topology optimization problems of continuum structures. The major idea of the present approach is to consider the structure to be optimized as a piece of bone, whose growing process is controlled by an floating interval of reference strain energy density, i.e., the update of each material point in the design domain is determined by its current strain energy density and the reference interval. The update of the reference interval is determined by the active constraint of the optimization problem. Two numerical examples are given to show the validity of the present approach.