含液饱和不可压多孔弹性板的随机振动

发布时间：2018-03-27 19:35

本文选题：多孔介质理论　切入点：随机振动　出处：《振动与冲击》2017年10期

【摘要】：在不可压多孔弹性介质理论和随机振动理论的基础上,以Kirchhoff假定和小变形为前提,根据饱和不可压多孔板弯曲的数学模型,针对孔隙流体沿面内扩散的情形,建立了含液饱和多孔弹性板在集中荷载作用下横向弯曲的随机振动方程。针对四边简支矩形板,对板内位移响应和截面固相弯矩响应进行了分析,分别得到了输入集中荷载为平稳随机过程时简支板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板,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-固耦合项对板位移以及弯矩的影响规律。结果表明,通过调整孔隙中流体的渗透系数可以达到控制板随机振动的目的。
[Abstract]:Based on the theory of incompressible porous elastic medium and random vibration theory, based on the Kirchhoff assumption and small deformation, according to the mathematical model of saturated incompressible porous plate bending, the in-plane diffusion of pore fluid is studied. The random vibration equation of transverse bending of porous elastic plates with liquid saturation under concentrated load is established. The displacement response and the solid moment response of the plates are analyzed for simply supported rectangular plates with four sides. The power spectral density function and variance of the displacement response and moment response of simply supported plate under stationary stochastic process with input concentrated load are obtained, respectively. Considering an ideal white noise stationary random concentrated load, the displacement response and the power spectral density function of the interface solid moment of a simply supported saturated perforated plate are analyzed. The effect of fluid-solid coupling term on plate displacement and bending moment is discussed. The results show that the random vibration of plate can be controlled by adjusting the permeability coefficient of the fluid in the pore.
【作者单位】：兰州理工大学土木工程学院;西部土木工程防灾减灾教育部工程研究中心;
【基金】：国家自然科学基金(11162008;51368038) 甘肃省环境保护厅(GSEP-2014-23) 甘肃省教育厅研究生导师基金(1103-07)
【分类号】：TB383.4

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