Optimal second order reduction basis selection for nonlinear transient analysis
Optimal second order reduction basis selection for nonlinear transient analysis
复制标题
非线性瞬态分析的最优二阶降阶基选择
DOI：
10.1007/978-1-4419-9299-4_3
复制
发表时间：
2011
影响因子：
7.2
通讯作者：
P. Tiso
中科院分区：
文献类型：
--
作者：
P. Tiso
几何非线性结构动力学问题的有效模型降阶（MOR）可以通过在一组振动模态及其二阶模态导数构成的基础上投影有限元方程来实现。然而，这种方法产生的模态导数的数量与所选择的振动模态的数量是二次的，因此很快使约简基的维数变大。我们证明了最重要的二阶模态的选择可以基于底层线性模态截断近似的收敛性。在荷载具有一定的时间依赖性的情况下，该方法允许在计算前选择最显著的模态导数集。
Effective Model Order Reduction (MOR) for geometrically nonlinear structural dynamics problems can be achieved by projecting the Finite Element (FE) equations on a basis constituted by a set of vibration modes and associated second order modal derivatives. However, the number of modal derivatives gener- ated by such approach is quadratic with respect to the number of chosen vibration modes, thus quickly making the dimension of the reduction basis large. We show that the selection of the most important second order modes can be based on the convergence of the underlying linear modal truncation approximation. Given a cer- tain time dependency of the load, this method allows to select the most significant modal derivatives set before computing it.