Sensitivity Analysis of Structural Dynamic Behavior Based on the Sparse Polynomial Chaos Expansion and Material Point Method  

作　　者：Wenpeng Li Zhenghe Liu Yujing Ma Zhuxuan Meng Ji Ma Weisong Liu Vinh Phu Nguyen 

机构地区：[1]Key Laboratory of In-situ Property-improving Mining of Ministry of Education,Taiyuan University of Technology,Taiyuan,030024,China [2]Academy of Military Science,Beijing,100091,China [3]College of Mechanical and Vehicle Engineering,Taiyuan University of Technology,Taiyuan,030024,China [4]Department of Civil Engineering,Monash University,Clayton,VIC 3800,Australia

出　　处：《Computer Modeling in Engineering & Sciences》2025年第2期1515-1543,共29页工程与科学中的计算机建模(英文)

基　　金：support from the National Natural Science Foundation of China(Grant Nos.52174123&52274222).

摘　　要：This paper presents a framework for constructing surrogate models for sensitivity analysis of structural dynamics behavior.Physical models involving deformation,such as collisions,vibrations,and penetration,are devel-oped using the material point method.To reduce the computational cost of Monte Carlo simulations,response surface models are created as surrogate models for the material point system to approximate its dynamic behavior.An adaptive randomized greedy algorithm is employed to construct a sparse polynomial chaos expansion model with a fixed order,effectively balancing the accuracy and computational efficiency of the surrogate model.Based on the sparse polynomial chaos expansion,sensitivity analysis is conducted using the global finite difference and Sobol methods.Several examples of structural dynamics are provided to demonstrate the effectiveness of the proposed method in addressing structural dynamics problems.

关 键 词：Structural dynamics DEFORMATION material point method sparse polynomial chaos expansion adaptive randomized greedy algorithm sensitivity analysis 

分 类 号：O17[理学—数学]