Parametric Nonlinear Model Reduction for Structural Dynamics
Parametric Nonlinear Model Reduction for Structural Dynamics
复制标题
结构动力学参数化非线性模型简化
DOI：
10.11128/arep.55.a55265
复制
发表时间：
2018
期刊：
影响因子：
--
通讯作者：
C. Meyer
中科院分区：
文献类型：
--
作者：
C. Lerch;C. Meyer
对承受大变形的先进机械结构进行有限元分析，通常会导致高维非线性方程组。对于诸如参数研究和优化的应用，其中运动方程必须被求解多次，这是非常需要的，以减少求解方程的计算时间。模型降阶可以通过将运动方程投影到一个子空间上，并利用超降阶技术逼近非线性项来满足这一要求，然而，投影的最佳子空间以及超降阶强烈依赖于系统的性质，这是参数研究、优化和控制等应用中的一个主要问题，其中系统的性质，如形状、材料和边界条件，是参数化的这一贡献给出了一个概述的简化过程中的参数结构与大挠度的有限元法模拟。它还显示了开源研究代码“AMfe”的主要功能和模块化结构，作者使用该代码开发新的归约技术。
Finite element analyses of advanced mechanical structures that undergo large deformations usually lead to highdimensional systems of nonlinear equations. For applications such as parameter studies and optimization, where the equations of motion have to be solved several times, it is highly demanded to reduce the computation time for solving the equations. Model order reduction can satisfy this demand by projecting the equation of motion onto a subspace and approximating the nonlinear term by using Hyperreduction techniques.However, the best subspace for projection as well as the hyperreduction strongly depend on the system properties which is a main issue for applications like parameter studies, optimization and control, where the system properties, such as shape, material, and boundary conditions, are parametric. This contribution gives an overview over the reduction process for parametric structures with large deflections that are simulated with the finite element method. It also shows the main features and modular structure of the open source research code" AMfe", which is used by the authors to develop new reduction techniques.