升船机承船厢水体参激振动的耦合分析

Coupling analysis of ship-chamber of shiplift and parametric vibration of water

根据流体力学势流理论,建立了三峡升船机承船厢悬挂系统刚性竖直振动与水体参激振动的偏微分方程,并转化为一组8变量非线性常微分方程组.采用龙格库塔法,对正常工况和紧急制动工况进行了数值仿真,分析了水体参激振动及承船厢悬挂系统刚性竖直振动的稳定性.将动力学系统线性化后,其数值计算结果与非线性系统的计算结果相差甚微.

A fluid_solid coupled dynamic model describing vertical rigid vibration of ship_chambers with water of the Three Gorges shiplift, is established.A group of eight_variable coupled, time_dependent and nonlinear ordinary differential equations based on the potential flow theory in fluid mechanics, are derived. A digital simulation using Runge_Kutta method on the condition of normal starting and urgent braking, are carried out; and the effects of simulation from the hoist on stability of parametric vibration, are analyzed. Then the model is transformed into linear one, and the difference of the digital simulation results between the linear model and the nonlinear model is potty.