摘要
对于波纹板结构几何布局可调优化问题,应力、位移约束函数均为几何设计变量的高度非线性隐函数,因此,为求解位移、应力函数的敏度需要花费大量的计算时间.为此,本文通过分析问题的力学模型、在广义逆意义下,建立了应力与设计变量间的一个显式关系式,并由此获得应力敏度,而位移敏度则按文献[1]中方法获得.文中方法在不增加太多空间的前提下,减少了计算量,提高了收敛速度,最后还用本文方法对电除尘器侧墙进行了优化设计,优化效果是明显的.
It is well known that,the stress and deflexion constrained functions are highly nonlinear and implicit in the optimal design problems of corrugated plate structure of which geometric layout is adjustable.Hence,we have to expense much more time on figuring the partial derivatives of these constrained functions.In this paper,we take full advantage of the structural property and prove the explicit expression between stress constrained functions and geometry design variables in the generalised inverse sense.Basing on the established relations,a method of figuring the stress partial derivatives is obtained.In addition,as to the deflexion constrains, we calculate their partial derivatives in accordance with the method of literature 1.The method above has the advantages of less space increased and fast convergence rate compared with the usual method.The results of a practical example show that the proposed method is quite efficient.
基金
国家自然科学基金资助项目
关键词
波纹板
侧墙板
电除尘器
几何布局
优化设计
corrugated plate
optimum design of structure
electrotastic precipitator.
