基于谱有限元的自由阻尼梁结构损耗因子分析

尹帮辉 王敏庆

振动与冲击 ›› 2014, Vol. 33 ›› Issue (4) : 143-148.

PDF(1668 KB)
PDF(1668 KB)
振动与冲击 ›› 2014, Vol. 33 ›› Issue (4) : 143-148.
论文

基于谱有限元的自由阻尼梁结构损耗因子分析

  • 尹帮辉 王敏庆
作者信息 +

Structural damping loss factor analysis for beams with a non-constrained damping layer based on spectral finite element

  • Yin Bang-hui, Wang Min-qing
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摘要

使用谱有限元分析了自由阻尼梁中扩散波类型及其损耗因子,通过对其特征波形的分析探讨了各个频率下每种波的激励条件,然后使用有限元对自由阻尼长梁做谐响应分析得到各个单元的应变能,根据应变能法计算得到该长梁分别在垂直和水平激励下的结构损耗因子,对结构损耗因子同激励起的波类型之间的关系进行了讨论,最后分析了边界反射对结构损耗因子的影响。研究表明:垂直激励主要激励起最高阶弯曲波或者某些低阶纵波,水平激励主要激励起最高阶纵波;边界反射对结构损耗因子的影响随着梁长增大以及激励点远离边界而变小;不同边界条件的结构损耗因子一般情况下比较接近,但在一些频率点处会存在一定的差异;自由阻尼梁的结构损耗因子主要由激励所能激励起的波类型所决定,在一定程度上受到边界反射影响。

Abstract

The spectral finite element method is used to analysis propagating wave types and their damping loss factor (DLF) in the beam with a non-constrained damping layer (NCDL). Every wave type’s exciting condition is studied by the analysis of characteristic wave shapes. The finite element method is used to compute the strain energy for every element of long beam with a NCDL, the DLF is computed by strain energy method and the relationship between structure DLF and load types is studied. In the end the boundary reflected waves’ effect on the DLF is studied. The study showed that: the vertical excitation mainly excites the highest order bending waves or lower order longitudinal waves whereas the longitudinal excitation mainly excites the highest order longitudinal waves; when the beam becomes longer and the displacement between the exciting point and the boundary becomes more far, the effect of boundary reflection on structure DLF become smaller; the DLF on different boundary condition are always the same except some special frequency; the structure DLF of a beam with a NCDL is decided mainly by the wave types and influenced a little by boundary reflection .


关键词

自由阻尼梁 / 结构损耗因子 / / 谱有限元法 / 应变能法

Key words

beam with a non-constrained damping layer / structural damping loss factor / wave / spectral finite element method / strain energy method.

引用本文

导出引用
尹帮辉 王敏庆. 基于谱有限元的自由阻尼梁结构损耗因子分析[J]. 振动与冲击, 2014, 33(4): 143-148
Yin Bang-hui;Wang Min-qing. Structural damping loss factor analysis for beams with a non-constrained damping layer based on spectral finite element [J]. Journal of Vibration and Shock, 2014, 33(4): 143-148

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