Numerical analysis of free vibration of axially moving beam under compressive load

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Journal of Vibration and Shock ›› 2014, Vol. 33 ›› Issue (24) : 101-105.

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Numerical analysis of free vibration of axially moving beam under compressive load

Chen Hongyong Chen Haibo Zhang Peiqiang

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Abstract

The error becomes larger when using Galerkin method to calculate the lower order natural frequencies of axially moving beam with axial load. By introducing the effect of axial load, the test functions are modified and the vibration characteristics of axially moving Timoshenko beam of clamped-clamped and clamped - free boundary conditions are investigated. Simulation results show that: The effect of axial load can not be ignored when calculating lower order natural frequencies of axial moving beam with compressive load. The proposed modified approach based on Galerkin method improves the numerical results greatly when the axial compressive load is large, and it also has a good applicability for different boundary conditions. The effect of axial compressive load and axially moving situation cause the state of instability of beam more easily.

Key words

Galerkin method / axial load / axially moving beam / vibration characteristic

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Chen Hongyong Chen Haibo Zhang Peiqiang. Numerical analysis of free vibration of axially moving beam under compressive load [J]. Journal of Vibration and Shock, 2014, 33(24): 101-105