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基于Wavelet-Galerkin法的微机械谐振器件挤压膜阻尼求解方法研究

刘宗斌 刘相法 周勇

刘宗斌, 刘相法, 周勇. 基于Wavelet-Galerkin法的微机械谐振器件挤压膜阻尼求解方法研究[J]. 机械科学与技术, 2012, 31(7): 1156-1160.
引用本文: 刘宗斌, 刘相法, 周勇. 基于Wavelet-Galerkin法的微机械谐振器件挤压膜阻尼求解方法研究[J]. 机械科学与技术, 2012, 31(7): 1156-1160.
Liu Zong-bin, Liu Xiang-fa, Zhou Yong. A Method for Calculating Squeeze Film Damping of Micro-mechanical Resonator Device Based on Wavelet-Galerkin Method[J]. Mechanical Science and Technology for Aerospace Engineering, 2012, 31(7): 1156-1160.
Citation: Liu Zong-bin, Liu Xiang-fa, Zhou Yong. A Method for Calculating Squeeze Film Damping of Micro-mechanical Resonator Device Based on Wavelet-Galerkin Method[J]. Mechanical Science and Technology for Aerospace Engineering, 2012, 31(7): 1156-1160.

基于Wavelet-Galerkin法的微机械谐振器件挤压膜阻尼求解方法研究

详细信息
    作者简介:

    刘宗斌(1983-),助理工程师,硕士研究生,研究方向为震动与噪声,seu-lzb@163.com;刘相法(联系人),副教授,seu-lxf@163.com

    刘宗斌(1983-),助理工程师,硕士研究生,研究方向为震动与噪声,seu-lzb@163.com;刘相法(联系人),副教授,seu-lxf@163.com

A Method for Calculating Squeeze Film Damping of Micro-mechanical Resonator Device Based on Wavelet-Galerkin Method

  • 摘要: 利用Wavelet-Galerkin方法对求解微机械谐振器件的挤压膜阻尼进行计算。首先选定一个微谐振器件挤压膜阻尼的模型,并列出它的微分方程和边界条件,系统在设定一个已知输入的情况下,对系统的流体压力响应用Daubechies小波基进行展开,利用Galerkin法求解相应的展开系数,以得到方程的近似解。由于Daubechies小波不存在解析表达式且具有强烈的震荡性,因此在Galerkin法中需要涉及到的小波的求导和积分,即所谓的关联系数,本文中也做了相应计算。利用上述方法,对给定参数的模型进行分析计算,计算结果说明该方法子分析分析挤压膜阻尼方面是有效的。
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出版历程
  • 收稿日期:  2011-02-10
  • 刊出日期:  2015-06-10

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