扰动条件下的库岸边坡非线性演化机理研究

扰动是库岸边坡系统非线性演化的诱因。以三峡库岸边坡为例,运用非线性动力学,建立岸坡分岔模型,揭示扰动情况下边坡非线性演化本质,发现扰动造成系统刚度、阻尼的变化,系统稳定性变化会随着时间的延长而逐渐凸显。相空间中的焦点及结点是渐进稳定的,受外界扰动时,系统受吸引子吸引向稳定状态发展,岸坡表现为局部变形后整体趋于稳定;而演化至鞍点时,系统终将发生失稳。

Research on the Nonlinear Evolution Mechanism of Reservoir Slope under the Perturbation Condition

Perturbations results in nonlinear evolution of reservoir slope system.Taking Three Gorges reservoir slope as an example,this paper establishes slope bifurcation model,exposits nonlinear evolution essential of slope by using nonlinear dynamics theory,and finds out the change of systemic stiffness and damping caused by perturbations,where the system stability would change with time.The paper reveals that the focus and node are asymptotically stable in the phase-space,and the system is attracted by attractor and goes to a stable state.After local deformation,the whole slope trends to be in stability state.But when the system evolves to the saddle point,it will finally get to the instability.