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Enlarging quality factor in microbeam resonators by topology optimization

机译：通过拓扑优化扩大Microbeam谐振器中的质量因素

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摘要

The fundamental characteristic of mechanical resonators can be evaluated by resonance eigenfrequency and energy dissipation (or inverse quality factor). Reduced length scales are necessary for achieving high resonance eigenfrequency, which can afford fast response and extraordinary sensitivity to external forces. However, smaller scales will result in higher energy dissipation (or smaller quality factor) in the eigenfrequency of mechanical resonators. A topology optimization process is presented for enlarging quality factor of a microbeam resonator made of linear, isotropic and homogeneous thermoelastic material. The beam's width is supposed to be considerable so that the plane strain assumption can be satisfied and the design domain is the cross section along the beam's thickness. By combining the equation of motion and the heat transfer equation, the damping problem of thermoelastic coupling can be solved by a finite-element method. A topology optimization method is used to enlarge quality factor in microbeam resonators. It is found by clamped-clamped and clamped-free microbeam resonators that significant improvements of quality factors can be achieved through this optimization process.
机译：机械谐振器的基本特征可以通过共振特征频率和能量耗散（或反向质量因子）来评估。减少长度尺度对于实现高共振特征频率是必要的，这可以为外力提供快速的反应和非凡的敏感性。然而，在机械谐振器的特征频率下，较小的尺度将导致更高的能量耗散（或更小的质量因子）。提出了一种拓扑优化过程，用于扩大由线性，各向同性和均匀的热弹性材料制成的微观谐振器的质量因子。光束的宽度应该相当可观，使得可以满足平面应变假设，并且设计域是沿着光束厚度的横截面。通过组合运动和传热方程的方程，可以通过有限元方法解决热弹性耦合的阻尼问题。拓扑优化方法用于放大Microbeam谐振器中的质量因子。通过夹紧夹紧和夹紧的Microbeam谐振器发现，通过该优化过程可以实现质量因子的显着改善。

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  • 来源
    《Journal of thermal stresses》 |2019年第3期|341-360|共20页
  • 作者

    Fu Yu; Li Li; Hu Yujin;

  • 作者单位

    Huazhong Univ Sci & Technol Sch Mech Sci & Engn State Key Lab Digital Mfg Equipment & Technol Wuhan 430074 Hubei Peoples R China;

    Huazhong Univ Sci & Technol Sch Mech Sci & Engn State Key Lab Digital Mfg Equipment & Technol Wuhan 430074 Hubei Peoples R China;

    Huazhong Univ Sci & Technol Sch Mech Sci & Engn State Key Lab Digital Mfg Equipment & Technol Wuhan 430074 Hubei Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Evolutionary topology optimization; quality factor; microbeam; thermoelastic damping;

    机译：进化拓扑优化;质量因子;微沟;热弹性阻尼;

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