Concurrent topology optimization for time-domain dynamic stiffness problem of two-scale hierarchical structure

被引：0
|
作者：
Jiang X. [1 ]
Ma J. [1 ]
Teng X. [2 ]
机构：
[1] School of Mechanical and Power Engineering, Harbin University of Science and Technology, Harbin
[2] School of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin
来源：
Zhendong yu Chongji/Journal of Vibration and Shock | 2023年 / 42卷 / 15期
关键词：
concurrent topology optimization; dynamic stiffness in the domain; energy-based homogenization method (EBHM); HHT-a method; two-scale hierarchical structure;
D O I：
10.13465/j.cnki.jvs.2023.15.005
中图分类号：
学科分类号：
摘要：
Here, the concurrent topology optimization method for dynamic stiffness in the domain problem of dual-scale hierarchical structure was proposed to realize collaborative optimization of macroscopic topological configuration of structure and microscopic distribution of materials. Three-field density method was used to perform designing macro and micro structures, and energy-based homogenization method (EBHM) was used to calculate equivalent macro mechanical properties for micro structures. Aiming at proportional damping systems, HHT-a method was taken as a time integration algorithm to solve dynamic finite element model of multi-scale structure. Fusing the first discrete-then differential method and the adjoint method, sensitivity analysis was performed for the topological optimization model with discrete time and space to avoid the consistency error problem of sensitivity calculation due to taking time as a continuous variable. With the objective to minimize the dynamic flexibility of multi-scale structure and taking volumes of macro and micro structures as constraints, concurrent topology optimization problems of multi-scale structure under sinusoidal and cosine half-wave impact loads were solved, respectively. Finally, the effectiveness of the proposed algorithm was verified with numerical results of 2 typical examples. © 2023 Chinese Vibration Engineering Society. All rights reserved.
引用
收藏
页码：31 / 41
页数：10
相关论文
共 34 条
  • [1] WU J, SIGMUND O, GROEN J P., Topology optimization of multi-scale structures
  • [2] a review, Structural and Multidisciplinary Optimization, 63, pp. 1455-1480, (2021)
  • [3] MURPHY R, IMEDIEGWU C, HEWSON R, Et al., Multiscale structural optimization with concurrent coupling between scales, Structural and Multidisciplinary Optimization, 63, pp. 1721-1741, (2021)
  • [4] BERTOLINO G, MONTEMURRO M., Two-scale topology optimisation of cellular materials under mixed boundary conditions [J], International Journal of Mechanical Sciences, 216, (2022)
  • [5] BAI Yingchun, JING Wenxiu, Multiscale topology optimization method for shell-infill structures based on filtering/projection boundary description, Journal of Mechanical Engineering, 57, 4, pp. 121-129, (2021)
  • [6] GAO J, LUO Z, XIA L, Et al., Concurrent topology optimization of multiscale composite structures in Matlab, Structural and Multidisciplinary Optimization, 60, pp. 2621-2651, (2019)
  • [7] GANGWAR T, SCHILLINGER D., Concurrent material and structure optimization of multiphase hierarchical systems within a continuum micromechanics framework, Structural and Multidisciplinary Optimization, 2, pp. 1-23, (2021)
  • [8] XIAO M, LIU X L, ZHANG Y, Et al., Design of graded lattice sandwich structures by multiscale topology optimization, Computer Methods in Applied Mechanics and Engineering, 384, (2021)
  • [9] ZHANG Y, GAO L, XIAO M., Maximizing natural frequencies of inhomogeneous cellular structures by Kriging-assisted multiscale topology optimization, Computers and Structures, 230, (2020)
  • [10] FU Junjian, ZHANG Yue, DU Yixian, Et al., Eigenvalue topology optimization of periodic cellular structures, Journal of Vibration and Shock, 41, 3, pp. 73-81, (2022)
1234