• CN: 11-2187/TH
  • ISSN: 0577-6686

Journal of Mechanical Engineering ›› 2026, Vol. 62 ›› Issue (13): 294-308.doi: 10.3901/JME.260305

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Structural Topology Optimization of Bi-modulus Materials under Dynamic Loads

CAI Jinhu1, CAO Haohao1, RONG Jianhua1, ZHAO Lei2, LIU Xin1, YIN Lairong1, LI Fangyi3   

  1. 1. School of Mechanical and Vehicle Engineering, Changsha University of Science and Technology, Changsha 410114;
    2. School of Civil and Environmental Engineering, Changsha University of Science and Technology, Changsha 410114;
    3. School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510006
  • Received:2025-07-11 Revised:2025-12-23 Published:2026-08-28

Abstract: Many materials used in practical engineering exhibit different mechanical properties under tension and compression (i.e., Bi-modulus characteristics). However, there is limited research on topology optimization methods for structures made of such materials, especially those considering dynamic loads. Therefore, a topology optimization method for Bi-modulus material structures under dynamic loads is proposed. First, the hybrid stress element is used to discretize the design domain to obtain more accurate stress calculation results. Second, a criterion for determining the tensile/compressive state of elements based on the principal stress sign and tensile/compressive tolerance is established, and a four-phase material interpolation model is constructed to achieve the optimal design of Bi-modulus material structures. Next, a criterion for determining the tensile/compressive state of elements based on the tensile/compressive strain energy under multi-load conditions is developed, enabling material distribution optimization under multiple load cases. Finally, the effectiveness of the method is verified through typical numerical examples, and the influence of parameters such as the tensile/compressive elastic modulus ratio and excitation frequency on the optimized configuration is analyzed, providing theoretical support for the lightweight design of Bi-modulus material structures under dynamic loads.

Key words: topology optimization, hybrid stress element, bi-modulus material, dynamic load, composite materials

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