基于DQM的空间轴对称流体饱和多孔热弹性柱体动力学特性研究

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

在热局部平衡条件下研究了空间轴对称不可压流体饱和多孔热弹性柱体在表面温度载荷作用下的动力学特性。基于de Boer多孔介质混合物理论,给出了问题的数学模型;其次综合采用微分求积方法-二阶向后差分法-Newton-Raphson迭代法求解了数学模型,得到柱体各离散点处未知物理量的数值结果,进而可分析柱体的动力学特性。为了验证该方法的正确性,计算了不可压流体饱和多孔弹性柱体的动力固结问题,并与de Boer等的解析结果进行了比较,两者吻合良好,也证明DQM有较小的计算量和较高的精度。最后分别研究和比较了柱体只受到表面外载荷作用下的动力学特性和受到两种表面温度载荷与外载荷联合作用下的动力学特性,考察了材料的某些参数对柱体动力学特性的影响。

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.