【摘要】 将响应面方法和模型参数化相结合,建立以结构重量为目标、结构强度为约束的形状优化模型.根据结构形状选取独立设计变量,推导结构重量的解析表达式和结构重量对设计变量的一、二阶导数,采用响应面方法拟合结构最大应力的表达式,建立形状优化的二次规划模型.数值算例表明,该方法具有很强的灵活性,适用范围较广,优化结果具有一定的稳定性和准确性.更多还原

【Abstract】 Combining the response surface method and the parameterized model, the model with structure weight as object function and structure strength as constraint is built. According to the structure shape, the independent design variables are selected, and the analytical expression of the structure weight and the first and second derivative of the structure weight to the design variables can be deduced. Adopting the response surface method to obtain the expression of the maximal stress, the shape optimization model in quadratic programming form is built. The numerical examples show that the method is very flexible and can be used widely, and the optimization results are stabile and exact.更多还原