Uncertainty propagation of frequency response of viscoelastic damping structures using a modified high-dimensional adaptive sparse grid collocation method
| Autor: | Mohamed Hamdaoui, Chao Xu, Ning Guo, E. I. Mostafa Daya, Tianyu Wang |
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| Přispěvatelé: | Northwestern Polytechnical University [Xi'an] (NPU), Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux (LEM3), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)-Arts et Métiers Sciences et Technologies, HESAM Université (HESAM)-HESAM Université (HESAM) |
| Rok vydání: | 2020 |
| Předmět: |
Frequency response
Computer science General Mathematics Computation 02 engineering and technology High dimensional Adaptive sparse grid collocation [SPI]Engineering Sciences [physics] viscoelastic damping structure 0203 mechanical engineering Collocation method Applied mathematics General Materials Science Civil and Structural Engineering Propagation of uncertainty Viscoelastic damping Mechanical Engineering Sparse grid High-dimensional model representation uncertainty propagation 021001 nanoscience & nanotechnology high dimensional model representation 020303 mechanical engineering & transports Mechanics of Materials frequency response analysis 0210 nano-technology |
| Zdroj: | Mechanics of Advanced Materials and Structures Mechanics of Advanced Materials and Structures, Taylor & Francis, 2020, pp.1-19. ⟨10.1080/15376494.2020.1777602⟩ |
| ISSN: | 1537-6532 1537-6494 |
| Popis: | International audience; Uncertainty propagation (UP) of the frequency response is essential for the robust design of viscoelastic damping structures. One challenge in solving this problem is enormous computation cost from the UP analysis. This paper aims to develop a novel computational effective method based on the combination of the adaptive sparse grid collocation (ASGC) method and the high dimensional model representation (HDMR) technique to evaluate the variability of the frequency response of viscoelastic damping structures. First, a well-validated layer-wise finite element method is employed to model the viscoelastic damping structures. The direct frequency response (DFR) method is utilized to calculate the response. Then, a modified adaptive strategy using expectation increments as the sampling indicator is proposed for cost-effective sparse grid construction. Lastly, high dimensional model representation (HDMR) technique is introduced to address the difficulty in moderate and high random dimensional situations. Two numerical examples are provided to assess the performances of the proposed method. Variations in constitutive parameters of viscoelastic material and thicknesses of the viscoelastic layer are considered. Numerical results show that, compared to the original high-dimensional ASGC method and Monte Carlo Simulation (MCS), the proposed method accurately predicts the variability of frequency responses and significantly improves the computational efficiency. |
| Databáze: | OpenAIRE |
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