矿井辅助运输巷道底板数学模型构建及其力学特性研究

Construction of Mathematical Model of Mine Auxiliary Transport Roadway Floor and Research on Mechanical Properties

以混合物理论为理论依据,采用变形功中的有效应力,建立非饱和多孔介质的动力响应表达式。基于Comsol Multiphysics PDE分析二维巷道底板在正弦荷载作用下的力学特性。结果表明:上顶面边界条件的不同直接影响巷道底板的动力响应特性,相较于上顶面不透水、不透气,当巷道底板上顶面透水、透气时,液相与气相压力为0,竖向位移更大;激励频率是影响巷道底板竖向位移的重要因素,其竖向位移随激励频率的增高而减小。

The dynamic response expression for unsaturated porous media is established using mixture theory as the theory and the effective stress in the deformation work.Analysis of the mechanical properties of two-dimensional roadway footings under sinusoidal loading based on Comsol Multiphysics PDE.The results show that the different boundary conditions of the upper top surface directly affect the dynamic response characteristics of the roadway floor,and when the upper top surface of the roadway floor is permeable to water and air,the liquid and gas phase pressures are zero and the vertical displacement is greater when the upper top surface of the roadway floor is permeable to water and air compared to the upper top surface which is impermeable to water and air;the excitation frequency is an important factor affecting the vertical displacement of the roadway floor,and its vertical displacement decreases with the increase of excitation frequency.