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刘Qimao静张Liubin燕, ”优化设计的结构进行瞬态负载使用第一和第二衍生品的动态位移和压力”,冲击和振动, 卷。19, 文章的ID857321年, 17 页面, 2012年。 https://doi.org/10.3233/sav - 2012 - 0685
优化设计的结构进行瞬态负载使用第一和第二衍生品的动态位移和压力
文摘
本文开发了一种有效的优化方法,即。,gradient-Hessian matrix-based method or second order method, of frame structures subjected to the transient loads. An algorithm of first and second derivatives of dynamic displacement and stress with respect to design variables is formulated based on the Newmark method. The inequality time-dependent constraint problem is converted into a sequence of appropriately formed time-independent unconstrained problems using the integral interior point penalty function method. The gradient and Hessian matrixes of the integral interior point penalty functions are also computed. Then the Marquardt's method is employed to solve unconstrained problems. The numerical results show that the optimal design method proposed in this paper can obtain the local optimum design of frame structures and sometimes is more efficient than the augmented Lagrange multiplier method.
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版权©2012 Hindawi出版公司。这是一个开放的分布式下文章知识共享归属许可,它允许无限制的使用、分配和复制在任何媒介,提供最初的工作是正确引用。
