结构优化设计的KFD方法及其在电除尘器本体结构优化中的应用

The KFD Method for the Optimum Design of Structure and the Application in the Optimal Design of Whole Structure of Electrostic Precipitator

电除尘器本体结构优化设计是一个规模大,设计变量数多而具有相当难度的几何可调和拓扑可调优化设计问题。对这样一个大型复杂的结构优化问题,本文在文[1]的工作基础上,充分利用结构的力学特性,应用有效设计变量的概念,建立了不用求偏导数且不必解线性规划的可行方向法—KFD方法。该方法具有收敛速度快、占用内存少的优点,比通常ε有效约束可行方向法提高速度数十倍。实际应用的结果表明文中的方法是很有效的。

The optimal design of whole structure of electrostic precipitator is a adjustable optimal problem of geometry and topology, which has larger scale and many design variables. On the basis of the work in [1], a theorem is established by taking full advantage of the structural property and using the concept of effective design variable for the large-sized and complex optimum design problem of structure. With the established theorem a feasible direction method named KFD can be obtained by not computing the partial derivatives of constrains and solving a linear programming. The method has the advantages of less space taken and fast convergence rate compared with the usual feasible direction method of e effective constrain. The results of a practical example show that the proposed method is quite efficient.