基于应变能的双方向结构渐进优化方法

渐进结构优化法已发展成为工程设计中的一种重要方法，但由于其误删除单元的不可恢复性限制了它的广泛应用。文中基于在优化结构边界和孔洞周围附加人工材料的思路，并结合evdutionary structural optimization(ESO)方法和单元应变能分析，建立结构有限单元增、删的准则，给出一种基于应变能的结构拓扑双方向渐进优化算法。算例表明该方法是正确和有效的。

BI-DIRECTION EVOLUTIONARY STRUCTURAL OPTIMIZATION METHODBASED ON STRAIN ENERGY

In recent years, the evolutionary structural optimization (ESO) method has been developed into an effective tool for engineering designs. However, it limits ESO's applications that it cannot recover the finite elements removed by mistakes. Here, under the condition of that a big physical domain, whose finite element mesh has been set, is given, and based on element strain energy and an idea that man-made material is added around optimal structural cavities and boundaries, combining ESO method, a set of criteria for adding and removing finite elements, is set, and a kind of topology optimization procedure based on strain energy is given. It is the important development and modification of the conventional topology optimization method. Several examples show that the proposed method is very valid and effective for structural topology optimization, and is of good engineering application value.