The effect of axial load on dynamic characteristics of axially moving Timoshenko beam

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (19) : 75-80.

Chen Hongyong 1 Li Shangming 2

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Abstract

The effects of axial load on vibration characteristics of axially moving Timoshenko beam are investigated. The differential governing equation of transverse vibration of axially moving beam with considering the axial load is established on the base of Timoshenko beam theory and Hamilton’s principle. The dynamic characteristics of different slenderness beams with axial load and pinned-pinned boundary conditions are investigated. The dimensionless frequencies of beam are calculated numerically with differential quadrature method (DQM), and compared with the analytical solutions to verify. The results show: The beam is easier to reach unsteady state when its factor of slenderness is larger with the boundary condition of no load; The beam reaches unsteady state easier under the effect of compressive load rather than tensile load. The critical speed decreases while the absolute value of axial load increases. Through the investigation on the influence factor and the relationship between the critical load and the critical velocity, the results have practical importance on the design of the axially moving systems.

Key words: axially moving Timoshenko beam; axial load; transverse vibration; differential quadrature method

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axially moving Timoshenko beam

/ axial load / transverse vibration / differential quadrature method

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Chen Hongyong 1 Li Shangming 2. The effect of axial load on dynamic characteristics of axially moving Timoshenko beam[J]. Journal of Vibration and Shock, 2016, 35(19): 75-80

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