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基于压电驱动的多材料主动结构显式拓扑优化设计

延晓晔 赖旗 孟尧 张维声

延晓晔, 赖旗, 孟尧, 张维声. 基于压电驱动的多材料主动结构显式拓扑优化设计[J]. 应用数学和力学, 2024, 45(11): 1372-1380. doi: 10.21656/1000-0887.450197
引用本文: 延晓晔, 赖旗, 孟尧, 张维声. 基于压电驱动的多材料主动结构显式拓扑优化设计[J]. 应用数学和力学, 2024, 45(11): 1372-1380. doi: 10.21656/1000-0887.450197
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

基于压电驱动的多材料主动结构显式拓扑优化设计

doi: 10.21656/1000-0887.450197
基金项目: 

国家自然科学基金(12272075)

详细信息
    作者简介:

    延晓晔(1997—),男,博士生(E-mail: dllgyanxy@mail.dlut.edu.cn);张维声(1982—),男,教授,博士,博士生导师(通讯作者. E-mail: weishengzhang@dlut.edu.cn).

    通讯作者:

    张维声(1982—),男,教授,博士,博士生导师(通讯作者. E-mail: weishengzhang@dlut.edu.cn).

  • 中图分类号: O232

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

Funds: 

The National Science Foundation of China(12272075)

  • 摘要: 结构的轻量化设计在工业领域中一直受到高度重视.与仅通过材料本身的刚度抵抗外界载荷作用的被动结构不同,主动结构通过主动改变结构的内力驱动变形从而实现结构轻量化.该文提出了一种基于可移动变形组件(moving morphable components, MMC)法的压电多材料主动结构的显式拓扑优化方法.该方法在满足位移约束的前提下,通过同时优化结构拓扑以及压电驱动器的分布实现了主动结构的总质量最小化.为了优化极化特征以实现复杂载荷环境下的自适应压电驱动作用,引入3组独立的MMC组件分别描述弹性材料和压电材料的分布及其相应的极化特征,以得到具有显式几何描述的复合材料主动结构.数值算例表明相比于被动结构,基于压电驱动作用的多材料主动结构能更有效地实现结构轻量化设计.
  • GOSSWEILER G R, BROWN C L, HEWAGE G B, et al. Mechanochemically active soft robots[J].ACS Applied Materials & Interfaces,2015,7(40): 22431-22435.
    [2]PREUMONT A.Vibration Control of Active Structures: an Introduction[M]. Array Cham: Springer, 2018.
    [3]REKSOWARDOJO A P, SENATORE G. Design of ultra-lightweight and energy-efficient civil structures through shape morphing[J].Computers & Structures,2023,289: 107149.
    [4]SOFLA A Y N, MEGUID S A, TAN K T, et al. Shape morphing of aircraft wing: status and challenges[J].Materials & Design,2010,31(3): 1284-1292.
    [5]SIGMUND O. Design of multiphysics actuators using topology optimization, part Ⅰ: one-material structures[J].Computer Methods in Applied Mechanics and Engineering,2001,190(49/50): 6577-6604.
    [6]SIGMUND O. Design of multiphysics actuators using topology optimization, part Ⅱ: two-material structures[J].Computer Methods in Applied Mechanics and Engineering,2001,190(49/50): 6605-6627.
    [7]JENSEN P D L, WANG F, DIMINO I, et al. Topology optimization of large-scale 3D morphing wing structures[J].Actuators,2021,10(9): 217.
    [8]WANG Y, SIGMUND O. Topology optimization of multi-material active structures to reduce energy consumption and carbon footprint[J].Structural and Multidisciplinary Optimization,2024,67(1): 5.
    [9]WANG Y, SIGMUND O. Multi-material topology optimization for maximizing structural stability under thermo-mechanical loading[J].Computer Methods in Applied Mechanics and Engineering,2023,407: 115938.
    [10]LIND C. Two decades of negative thermal expansion research: where do we stand?[J].Materials,2012,5(6): 1125-1154.
    [11]黄志丹, 向楠, 苏程. 主动约束阻尼开口柱壳的NLMS反馈减振控制[J]. 应用数学和力学, 2021,42(7): 686-695.(HUANG Zhidan, XIANG Nan, SU Cheng. NLMS feedback vibration control of open cylindrical shells with active constrained layer damping[J].Applied Mathematics and Mechanics,2021,42(7): 686-695.(in Chinese))
    [12]WANG Y, LUO Z, ZHANG X, et al. Topological design of compliant smart structures with embedded movable actuators[J].Smart Materials and Structures,2014,23(4): 045024.
    [13]ZHANG X, KANG Z. Dynamic topology optimization of piezoelectric structures with active control for reducing transient response[J].Computer Methods in Applied Mechanics and Engineering,2014,281: 200-219.
    [14]MOLTER A, FONSECA J S O,FERNANDEZ L D S. Simultaneous topology optimization of structure and piezoelectric actuators distribution[J].Applied Mathematical Modelling,2016,40(9/10): 5576-5588.
    [15]GUO X, ZHANG W, ZHONG W. Doing topology optimization explicitly and geometrically: a new moving morphable components based framework[J].Journal of Applied Mechanics,2014,81(8): 081009.
    [16]ZHANG W, LAI Q, GUO X, et al. Topology optimization for the design of manufacturable piezoelectric energy harvesters using dual-moving morphable component method[J].Journal of Mechanical Design,2024,146(12): 121701.
    [17]HU X, LI Z, BAO R, et al. Stabilized time-series moving morphable components method for topology optimization[J].International Journal for Numerical Methods in Engineering,2024,125(20): e7562.
    [18]LI Z, HU X, CHEN W. Moving morphable curved components framework of topology optimization based on the concept of time series[J].Structural and Multidisciplinary Optimization,2023,66(1): 19.
    [19]ZHANG W, SONG J, ZHOU J, et al. Topology optimization with multiple materials via moving morphable component (MMC) method[J].International Journal for Numerical Methods in Engineering,2018,113(11): 1653-1675.
    [20]HOMAYOUNI-AMLASHI A, SCHLINQUER T, MOHAND-OUSAID A, et al. 2D topology optimization MATLAB codes for piezoelectric actuators and energy harvesters[J].Structural and Multidisciplinary Optimization,2021,63(2): 983-1014.
    [21]DU Z, CUI T, LIU C, et al. An efficient and easy-to-extend MATLAB code of the moving morphable component (MMC) method for three-dimensional topology optimization[J].Structural and Multidisciplinary Optimization,2022,65(5): 158.
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出版历程
  • 收稿日期:  2024-07-08
  • 修回日期:  2024-08-04
  • 网络出版日期:  2024-12-02

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