TY  - EJOU
AU  - Li, Wenpeng 
AU  - Liu, Zhenghe 
AU  - Ma, Yujing 
AU  - Meng, Zhuxuan 
AU  - Ma, Ji 
AU  - Liu, Weisong 
AU  - Nguyen, Vinh Phu 

TI  - Sensitivity Analysis of Structural Dynamic Behavior Based on the Sparse Polynomial Chaos Expansion and Material Point Method
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2025
VL  - 142
IS  - 2
SN  - 1526-1506

AB  - 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 developed 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.
KW  - Structural dynamics; deformation; material point method; sparse polynomial chaos expansion; adaptive randomized greedy algorithm; sensitivity analysis

DO  - 10.32604/cmes.2025.059235