【摘要】 针对结构优化设计问题中约束条件是设计变量隐函数的问题,分析了传统多项式基响应面法的基本思想及其在拟合精度方面存在的问题;在此基础上通过对求解区域进行网格划分以及偏导数差分的推导给出了基于泰勒展开的响应面方法的具体形式,最后结合算例分析验证了改进后的算法不仅能够提高响应面方法的求解精度,而且能够有效地实现结构优化设计中隐函数的显式化.更多还原

【Abstract】 Considering the constraint condition in the structural optimization is the implicit function of the design variables,we analyzed the basic ideas of the traditional polynomial response surface method and its problems in fitting accuracy,and got the specific form of response surface methodology based on Taylor expansion by meshing the region to be solved and deducing partial derivative differential.Finally,combining with a numerical example,we verified that the improved algorithm could not only greatly improve the solution accuracy,but also effectively transform the function from implicit to explicit in structural optimization.更多还原