Variational design sensitivity analysis in the context of structural optimization and configurational mechanics
Variational design sensitivity analysis in the context of structural optimization and configurational mechanics
复制标题
结构优化和构型力学背景下的变分设计敏感性分析
DOI：
10.1007/s10704-007-9142-x
复制
发表时间：
2007
影响因子：
2.5
通讯作者：
F. Barthold
中科院分区：
文献类型：
--
作者：
D. Materna;F. Barthold
变分设计灵敏度分析是结构优化的一个分支。我们考虑了物质构型的变化，并对由这些变化引起的状态变量和目标泛函的变化感兴趣。同样，在构型力学中，我们对物质体的变化也很感兴趣。在这篇文章中，我们用标准的最优化方法导出了物理和材料残差问题，并研究了物理和材料问题的灵敏度关系。这些灵敏度关系被用来解决物理和材料的耦合问题。这两个问题都通过拟荷载算子进行耦合，这对结构优化问题的求解起着重要的作用。此外，我们还推导了物理问题和物质问题变化的显式表达式，并针对耦合问题提出了不同的求解算法。
Variational design sensitivity analysis is a branch of structural optimization. We consider variations of the material configuration and we are interested in the change of the state variables and the objective functional due to these variations. In the same manner in configurational mechanics we are interested in changes of the material body. In this paper, we derive the physical and material residual problem by using standard optimization procedures and we investigate sensitivity relations for the physical and material problem. These sensitivity relations are used in order to solve the coupled physical and material problem. Both problems are coupled by the pseudo load operator, which play an important role for the solution of structural optimization problems. Furthermore, we derive explicit formulations for the variations of the physical and material problem and propose different solution algorithms for the coupled problem.