Dynamic characteristics for a spatial-axisymmetric fluid-saturated porous thermo-elastic cylinder based on DQM

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (23) : 83-91.

ZHU Yuan-yuan 1 HU Yu-jia 2 CHENG Chang-jun 3 Zheng Xiao-mei 1

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Abstract

Dynamic characteristics of an incompressible spatial-axisymmetric fluid-saturated porous thermo-elastic cylinder subjected to a surface temperature loading were studied in case of local thermal equilibrium. Firstly, the mathematical model of the problem was established based on de Boer porous media theory. Then, the differential quadrature method, the second-order backward difference scheme and Newton-Raphson iterative method were synthetically used to solve the mathematical model and obtain the numerical results of the unknown quantities at every discretized point, and the dynamic characteristics of the cylinder were further studied. In order to verify the validity of the proposed method, the dynamic consolidation problem of an incompressible fluid-saturated porous elastic cylinder was computed with this method. The obtained numerical results agreed well with the analytical ones published by de Boer et.al, it was shown that the proposed method has two advantages: smaller amount of computation and higher accuracy. Finally, the dynamic characteristics of a spatial-axisymmetric fluid-saturated porous thermo-elastic cylinder subjected to mechanical load or both mechanical load and temperature load were studied and compared, the effects of material’s some parameters on the dynamic characteristics of the cylinder were investigated.

Key words

/ fluid-saturated porous thermo-elastic cylinder；porous media theory(PMT)；spatial-axisymmetric problem；differential quadrature method (DQM)；thermo-dynamic

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ZHU Yuan-yuan 1 HU Yu-jia 2 CHENG Chang-jun 3 Zheng Xiao-mei 1. Dynamic characteristics for a spatial-axisymmetric fluid-saturated porous thermo-elastic cylinder based on DQM[J]. Journal of Vibration and Shock, 2017, 36(23): 83-91

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