含液饱和多孔弹性梁的随机振动

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振动与冲击 ›› 2015, Vol. 34 ›› Issue (22) : 206-209.

论文

含液饱和多孔弹性梁的随机振动

周凤玺?1,2，马强1，米海珍1

作者信息 +

Random vibration of fluid-saturated porous elastic beam

ZHOU Feng-xi1,2, MA Qiang1, MI Hai-zhen1

Author information +

文章历史 +

摘要

根据不可压多孔弹性介质理论和随机振动理论，建立了孔隙流体沿轴向扩散的情形下，含液饱和多孔弹性梁在集中荷载作用下横向弯曲的随机振动方程。对梁的位移响应和截面固相弯矩响应进行分析，分别得到了输入集中荷载为平稳随机过程时简支梁的位移响应和弯矩响应的功率谱密度函数和方差等数字特征。作为数值算例，考虑一理想白噪声平稳随机集中荷载作用下的简支饱和多孔梁，对其位移响应和界面固相弯矩的功率谱密度函数进行了分析，并讨论了流-固耦合项对梁位移以及弯矩的减振效果。结果表明，通过控制孔隙中流体的渗透系数可以达到控制梁的随机振动的目的。

Abstract

According to the theory of incompressible porous elastic medium and the continuum theory of random vibration, the random vibration equation of transverse bending on fluid-saturated porous elastic beam were established with the concentrated load under the condition of diffusion of pore fluids along the axial direction. Through the analysis on the response of both the displacement of beam and the solid moment of cross section, the power spectral density function and variance and other digital features of the displacement and the moment response on the simply supported beam could be obtained when the input of concentrated load is stationary random process. As a numerical example, considering saturated porous simply supported beam under the concentrated load in an ideal white noise stationary random, the power spectral density function of the displacement response and the interface solid moment were analyzed and the damping effect of the flow-solid coupling term on the beam displacement and bending moment were also discussed. The results showed that random vibration in the beam could be controlled by changing the coefficient of permeability in the pore fluid.

导出引用

周凤玺?1,2，马强1，米海珍1. 含液饱和多孔弹性梁的随机振动[J]. 振动与冲击, 2015, 34(22): 206-209

ZHOU Feng-xi1,2, MA Qiang1, MI Hai-zhen1. Random vibration of fluid-saturated porous elastic beam [J]. Journal of Vibration and Shock, 2015, 34(22): 206-209

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