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动载荷作用引起岩石边坡失稳破坏,尤其力幅突变激扰作用对边坡稳定影响很大。对动、静载荷作用下岩石力学性质进行了分析,建立了岩石边坡非线性运动方程,分析了岩石边坡动力变形模型及非线性动力响应,得出当扰动频率增加到一定程度,滑体振幅突然增加,产生向上突跳并随力幅的增加继续增加;反之,当力幅较大并逐渐减小时,滑体振幅也随之减小,当扰动的振幅减小至一定程度,滑体振幅突然降低,产生向下突跳减小。对初始条件和力幅突变激扰对岩石力学非线性振动系统的影响进行了分析,得到初始条件的微小变化可引起系统响应的巨大差异,当振幅A极小时,线性系统的振荡很弱,它对非线性系统的作用也很弱,整个系统的运动便可看作两运动的独立叠加。当振幅A再加大到使其幅值超过非线性系统三奇点之间的间隔时,系统可以在这些奇点之间来回跃迁振荡,从而运动复杂化,随振幅A的增加,系统从倍周期运动向混运动变化,研究结果可为岩石边坡的动力稳定提供指导。
The dynamic load causes the rock slope instability and failure, especially the disturbance of the amplitude amplitude mutation has a great influence on the slope stability. The rock mechanics properties under dynamic and static loads are analyzed, and the nonlinear equations of motion are established. The dynamic deformation model and nonlinear dynamic response of rock slope are analyzed. The results show that when the disturbance frequency increases to a certain extent, The amplitude of sudden increase will produce a sudden jump and increase with the increase of the amplitude. On the contrary, when the amplitude of force increases and then decreases, the amplitude of the slide will decrease. When the amplitude of the disturbance decreases to a certain degree, Suddenly decreased amplitude, resulting in a downward jump to reduce. The influence of initial condition and amplitude perturbation on the nonlinear vibration system of rock mechanics is analyzed. The small variation of the initial conditions can cause great difference of the system response. When the amplitude A is very small, the oscillation of the linear system is weak The effect on the nonlinear system is also very weak. The movement of the whole system can be regarded as the independent superposition of two motions. When the amplitude A is further increased to make its amplitude exceed the interval between three singular points of the nonlinear system, the system can oscillate back and forth between these singular points, thus the movement is complicated. With the increase of the amplitude A, The results show that this method can provide guidance for the dynamic stability of rock slope.