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ARTICLE
Sensitivity Analysis of Structural Dynamic Behavior Based on the Sparse Polynomial Chaos Expansion and Material Point Method
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
* Corresponding Author: Zhuxuan Meng. Email:
Computer Modeling in Engineering & Sciences 2025, 142(2), 1515-1543. https://doi.org/10.32604/cmes.2025.059235
Received 01 October 2024; Accepted 19 December 2024; Issue published 27 January 2025
Abstract
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.Keywords
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