变速运动可压缩夹层梁稳定性的直接多尺度分析

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摘要与传统的不可压缩夹层梁不同，研究了一种可压缩的复合材料夹心梁的运动稳定性。将直接多尺度法应用于轴向速度带有脉动特性的运动梁的分析过程，得到系统的固有频率，并导出次谐波共振和组合共振的可解性条件，并由此得到共振的稳定性边界。给出的数值算例说明了梁平均速度以及梁弹性模量与剪切模量的比值对稳定性边界的影响，并在此基础上比较了可压缩夹层梁与普通不可压缩梁的区别。

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	颜婷1
	杨天智1
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	丁虎1
	陈立群1
	3

关键词 ：轴向运动, 夹层梁, 软夹心层, 多尺度法, 稳定性边界

Abstract：The motion stability of a composite and soft-cored compressible sandwich beam was investigated,which is different from the traditional incompressible sandwich beam.The direct multiscale method was applied to the analysis process of an axially moving sandwich beam with time-dependent velocity,then the natural frequency and solvability conditions were obtained.Based on the conditions,the stability boundaries of subharmonic resonance and combination resonance were obtained.The numerical examples were presented to show the effect of mean velocity and the ratio of the elastic modulus to shear modulus on the stability boundaries,and the difference between the compressible sandwich beam and the ordinary incompressible beam was compared.

Key words： axially motion sandwich beam soft core multiscale method stability boundary

收稿日期: 2017-07-20 出版日期: 2019-02-15

引用本文:

颜婷1，杨天智1,2,丁虎1，陈立群1,3. 变速运动可压缩夹层梁稳定性的直接多尺度分析[J]. 振动与冲击, 2019, 38(4): 40-44.
YAN Ting1,YANG Tianzhi1,2,DING Hu1,CHEN Liqun1,3. Direct multiscale analysis of the stability of an axially moving compressible sandwich beam with time-dependent velocity. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(4): 40-44.

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http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2019/V38/I4/40

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