轴向受压运动梁横向振动特性的数值分析

陈红永;陈海波;张培强

振动与冲击 ›› 2014, Vol. 33 ›› Issue (24) : 101-105.

PDF(1644 KB)
PDF(1644 KB)
振动与冲击 ›› 2014, Vol. 33 ›› Issue (24) : 101-105.
论文

轴向受压运动梁横向振动特性的数值分析

  • 陈红永 ,陈海波, 张培强
作者信息 +

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

  • Chen Hongyong Chen Haibo Zhang Peiqiang
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摘要

针对Galerkin截断法在计算轴向受载运动梁的固有特性时,低阶频率误差较大的问题,通过引入轴向力作用对试函数进行改进,分析了两端固支和固支-自由边界条件下的Timoshenko运动梁在轴向压力作用下振动特性。结果表明:分析轴向受压运动梁的低阶弹性振动时,轴向力作用不可忽略;改进方法在轴向载荷较大时计算低阶频率有较大改进,而且对于不同边界条件有很好的适应性;轴向压力和运动效应的共同作用更易引起梁的失稳状态。

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.

关键词

Galerkin法 / 轴向受压 / 轴向运动梁 / 振动特性

Key words

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

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陈红永;陈海波;张培强. 轴向受压运动梁横向振动特性的数值分析[J]. 振动与冲击, 2014, 33(24): 101-105
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

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