Volume 44 Issue 1
Jan.  2023
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SU Cheng, LUO Junzhe, XU Zhi. An Asymptotic-Homogenization Explicit Time-Domain Method for Random Multiscale Vibration Analysis of Porous Material Structures[J]. Applied Mathematics and Mechanics, 2023, 44(1): 1-11. doi: 10.21656/1000-0887.430116
Citation: SU Cheng, LUO Junzhe, XU Zhi. An Asymptotic-Homogenization Explicit Time-Domain Method for Random Multiscale Vibration Analysis of Porous Material Structures[J]. Applied Mathematics and Mechanics, 2023, 44(1): 1-11. doi: 10.21656/1000-0887.430116

An Asymptotic-Homogenization Explicit Time-Domain Method for Random Multiscale Vibration Analysis of Porous Material Structures

doi: 10.21656/1000-0887.430116
  • Received Date: 2022-04-04
  • Accepted Date: 2022-06-01
  • Rev Recd Date: 2022-05-04
  • Available Online: 2022-12-27
  • Publish Date: 2023-01-15
  • Porous material structures have been widely used in civil engineering, mechanical engineering, aerospace engineering and other fields due to their high specific strength and specific stiffness. The stochastic response analysis of porous material structures under random excitations deserves more attention. The multiscale governing differential equations for porous material structures were derived based on the multiscale asymptotic-homogenization method (AHM), and the macroscale and microscale explicit time-domain expressions of structural responses were further established. On this basis, the statistical moments of dynamic responses of porous material structures under non-stationary random excitations were achieved with the explicit time-domain method (ETDM). The proposed method combines the advantages of the AHM for high-efficiency explicit formulation of macroscale and microscale dynamic responses of porous material structures and the benefits of the ETDM for fast analysis of non-stationary random vibration problems. A numerical example shows the computation accuracy and efficiency of the presented approach for non-stationary random vibration analysis of porous material structures.

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