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| Random vibration of fluid-saturated porous elastic beam |
| ZHOU Feng-xi1,2, MA Qiang1, MI Hai-zhen1 |
1. School of Civil Engineering, Lanzhou University of Technology, Lanzhou, Gansu 730050, China;
2. Western Engineering Research Center of Disaster Mitigation in Civil Engineering of Ministry of Education, Lanzhou University of Technology, Lanzhou, Gansu 730050, China |
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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.
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Received: 21 May 2014
Published: 25 November 2015
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