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Nonlinear dynamic response structural optimization using equivalent static loads

机译：使用等效静载荷的非线性动力响应结构优化

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摘要

It is well known that nonlinear dynamic response optimization using a conventional optimization algorithm is fairly difficult and expensive for the gradient or non-gradient based optimization methods because many nonlinear dynamic analyses are required. Therefore, it is quite difficult to find practical large scale examples with many design variables and constraints for nonlinear dynamic response structural optimization. The equivalent static loads (ESLs) method is newly proposed and applied to nonlinear dynamic response optimization. The equivalent static loads are defined as the linear static load sets which generate the same response field in linear static analysis as that from nonlinear dynamic analysis. The ESLs are made from the results of nonlinear dynamic analysis and used as external forces in linear static response optimization. Then the same response from nonlinear dynamic analysis can be considered throughout linear static response optimization. The updated design from linear response optimization is used again in nonlinear dynamic analysis and the process proceeds in a cyclic manner until the convergence criteria are satisfied. Several examples are solved to validate the method. The results are compared to those of the conventional method with sensitivity analysis using the finite difference method.
机译：众所周知，对于基于梯度或基于非梯度的优化方法，使用常规优化算法的非线性动态响应优化是相当困难且昂贵的，因为需要许多非线性动力学分析。因此，很难找到具有许多设计变量和约束条件的实用的大规模实例，以进行非线性动力响应结构优化。提出了等效静载荷（ESLs）方法，并将其应用于非线性动态响应优化。等效静载荷定义为线性静载荷集，它们在线性静力分析中产生与非线性动态分析相同的响应场。 ESL由非线性动态分析的结果制成，并用作线性静态响应优化中的外力。然后，可以在整个线性静态响应优化中考虑来自非线性动态分析的相同响应。来自线性响应优化的更新设计再次用于非线性动力学分析，并且该过程以循环方式进行，直到满足收敛标准为止。解决了几个例子以验证该方法。将结果与使用有限差分法进行灵敏度分析的常规方法进行比较。

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