.png){kind=icon}
返回
An adaptive model order reduction technique for parameter-dependent modular structures
.png){kind=icon}
OA
AI
DOI：10.1007/s00466-023-02404-w.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
This work is concerned with an adaptive reduced order model of modular structures assembled from parameter-dependent substructures. The substructures are reduced by proper orthogonal decomposition (POD) and connected by means of a tied contact formulation. We present a method to adapt the matrices of the substructures to parameter changes. We employ interpolation on Grassmann manifolds for the parametric adaption of the projection matrices. For the adaptation of the stiffness matrices, we use the direct empirical interpolation method (DEIM). Manifold interpolation of the reduced stiffness matrices, cannot be applied here since it would require semi-positive definiteness, which is here not fulfilled because of necessary rigid body motion modes. The novelty of this work is the application of these interpolation methods to the special problem class of POD-based tied contact model order reduction. Furthermore, we show a methodology to compute significant snapshots on the substructure level to compute a POD basis that can be used in different global structures.
Keyword:
POD
DEIM
Substructuring
Interpolation
期刊
IF:
3.8
论文数:
3.2K
被引数:
9.0K
机构
引用论文
A matrix DEIM technique for model reduction of nonlinear parametrized problems in cardiac mechanics
OAAI
OAAI分享收藏A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems参数动力系统基于投影的模型降阶方法综述.png)
SIAM REVIEWOAAI
SIAM REVIEWIF6.1
OAAI分享收藏A NEW SELECTION OPERATOR FOR THE DISCRETE EMPIRICAL INTERPOLATION METHOD-IMPROVED A PRIORI ERROR BOUND AND EXTENSIONS离散经验插值法的一种新的选择算子 -- 改进的先验误差界和扩展OAAI
OAAI分享收藏The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: An overview机械系统动力学特征和降阶的适当正交分解方法: 综述
PREAI
分享收藏
查看更多内容