Volume 45 Issue 11
Nov.  2024
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YAN Xiaoye, LAI Qi, MENG Yao, ZHANG Weisheng. Explicit Topology Optimization of Multi-Material Active Structures Based on Piezoelectric Actuation[J]. Applied Mathematics and Mechanics, 2024, 45(11): 1372-1380. doi: 10.21656/1000-0887.450197
Citation: YAN Xiaoye, LAI Qi, MENG Yao, ZHANG Weisheng. Explicit Topology Optimization of Multi-Material Active Structures Based on Piezoelectric Actuation[J]. Applied Mathematics and Mechanics, 2024, 45(11): 1372-1380. doi: 10.21656/1000-0887.450197

Explicit Topology Optimization of Multi-Material Active Structures Based on Piezoelectric Actuation

doi: 10.21656/1000-0887.450197
Funds:

The National Science Foundation of China(12272075)

  • Received Date: 2024-07-08
  • Rev Recd Date: 2024-08-04
  • Available Online: 2024-12-02
  • The lightweight structure design is a crucial consideration in the industrial field. Unlike passive structures that rely solely on material stiffness to resist external loads, active structures achieve lightweighting by active change of the internal force-driven deformation. An explicit topology optimization method was introduced for piezoelectric multi-material active structures with the moving morphable components (MMC) method. The proposed method minimizes the total mass of the active structure by simultaneously optimizing the structure topology and the distribution of piezoelectric actuators while satisfying the displacement constraints. To optimize the polarization characteristics for adaptive piezoelectric actuation under complex loading conditions, 3 independent sets of MMCs were utilized. These components describe the distributions of elastic and piezoelectric materials as well as the corresponding polarization characteristics, resulting in a composite active structure with explicit geometric descriptions. Numerical examples demonstrate that, compared to passive structures, multi-material active structures based on piezoelectric actuation can realize structural lightweighting more efficiently.
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