Vibration and stability analysis of axially moving viscoelastic beam with varying section

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (14) : 107-111.

LI Chengcheng, ZHAO Fengqun

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Abstract

The governing differential equation for axially moving viscoelastic beam with varying section is obtained based on the D ' Alembert principle, and a numerical method of local differential quadrature method based on gravity interpolation is given. For simply supported viscoelastic beam with varying section, the characteristic equation is obtained by using this method and the relation of the first two orders non-dimensional complex frequencies of the beam with non-dimensional axial movement speed are given. The form of instability of the viscoelastic beam with trapezoid cross section and parabolic cross section in different value of axial movement speed is analyzed in detail and compared with uniform beam. The effects of different height ratio and viscoelastic coefficient on the dynamic stability of the beam are discussed.

Key words

Variable Cross-section beam / Viscoelasticity / Axially moving / Stability / Differential quadrature method / Complex frequency

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LI Chengcheng, ZHAO Fengqun. Vibration and stability analysis of axially moving viscoelastic beam with varying section[J]. Journal of Vibration and Shock, 2016, 35(14): 107-111

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