Direct multiscale analysis of the stability of an axially moving compressible sandwich beam with time-dependent velocity

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (4) : 40-44.

YAN Ting1,YANG Tianzhi1,2,DING Hu1,CHEN Liqun1,3

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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

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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[J]. Journal of Vibration and Shock, 2019, 38(4): 40-44

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