危岩聚集体破坏振动方程研究

A study on the vibration equation of the rupture of perilous rock aggregate

针对高陡岩石边坡表面危岩聚集体破坏易于出现激振链式崩落的实际情况,将危岩聚集体竖向裂隙未贯通部分概化为棱柱体。采用波动理论方法推导建立了危岩破坏激振波作用下危岩聚集体破坏振动力学模型,运用特征法求解得到了危岩聚集体质点振动方程、位移方程、应力方程及振动速度方程。通过室内模型试验对理论模型进行了验证,误差仅为6.12%。研究成果对于深入开展群发性危岩破坏机理研究有积极意义。

Aiming at the actual situation that perilous rock aggregate can easily avalanche under action of excitation at rupture of perilous rock on steep and high slope,this work generalizes perilous rock aggregate with non-through vertical fissure as a prism. A vibration mechanics model at rupture of perilous rock aggregate under the excitation was deduced and established using the wave theory. To solve the model through the characteristic method,four equations specific to any mass point in perilous rock aggregate were obtained,respectively,vibration equation,displacement equation,stress equation and vibration velocity equation. Model experiments in laboratory identify that the error between the theoretical solution and experimental data is about 6. 13%.