棱柱杆侵彻岩土的动力学分析

首先建立了计算撞击力的刚体-流体撞击模型和计算靶体变形的法向膨胀理论。在此基础上,根据动量定理和功能守恒定律,建立了棱柱杆侵彻岩土时的动力学模型。采用龙格-库塔方法对这些非线性动力学方程进行数值求解。由这些非线性动力学方程的数值解,确定了撞击力和侵入位移,进而得到几何参数对撞击力、侵彻位移的影响曲线。通过分析棱柱杆的几何参数对撞击力和侵入位移的影响,给出了棱柱杆主要几何参数的合理范围。

Analysis of Dynamics On a Pyramid Penetrating into Rock

Firstly,a rigid-fluid impact model for calculating impact force and a normal expansion approximation for calculating target deformation are developed.On this basis,the dynamics on a pyramid penetrating into rock is investigated.Its dynamic equation is established by using the theorem of momentum and the law of the conservation of work and energy.Next,these numerical solutions of this nonlinear dynamic equation are investigated by using Runge-Kutta method.The impact force and the penetration displacement are determined by the numerical solution of the equation,and the impact force history curves and the penetration dispalcement history curves are obtained.The reasonable ranges of the geometrical parameters are given by analyzing the influences of the vertex angle and cutting angle on impact force and penetration displacement.