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《Journal of Vibration and Shock》 2015-22
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Random vibration of fluid-saturated porous elastic beam

ZHOU Feng-xi;MA Qiang;MI Hai-zhen;School of Civil Engineering,Lanzhou University of Technology;Western Engineering Research Center of Disaster Mitigation in Civil Engineering of Ministry of Education,Lanzhou University of Technology;  
According to the theory of incompressible porous elastic medium and the random vibration,theory of continum,a random equation for the transverse bending vibration of fluid-saturated porous elastic beam was established with a concentrated load under the condition of diffusion of pore fluid along the axial direction. Through the analysis on the responses of the displacement of beam as well as the solid phase bending moment at cross section of beam,the power spectral density function and its variance and other digital features of the displacement and bending moment responses of a simply supported beam were obtained when the concentrated load is a stationary random process. As a numerical example,considering the saturated porous simply supported beam under the concentrated load of an ideal white noise stationary random process,the power spectral density functions of the displacement response and the interface solid phase bending moment response were analyzed and the damping effects of the flow-solid coupling term on the beam displacement and bending moment were also discussed. The results show that random vibration of the beam could be controlled by changing the coefficient of permeability of the pore fluid.
【Fund】: 国家自然科学基金(11162008 51368038);; 甘肃省高等学校基本科研业务费专项(1104ZTC140);; 甘肃省教育厅研究生导师基金(1103-07)
【CateGory Index】: TU435
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