承船厢二维非线性晃动的分析

Analysis on 2-D nonlinear slosh of ship-chamber

本文根据流体力学势流理论和刚体动力学原理并借助“Mathematica”符号计算软件,建立了描述升船机承船厢悬挂系统的刚体竖直振动及纵摆振动和厢内水体运动相互耦合的非线性动力学数学模型,推导了非线性耦合动力学常微分方程组及其线性化方程的系数矩阵,提出了系统线性稳定性的判定方法;通过计算三峡全平衡垂直升船机钢丝绳卷扬方案承船厢悬挂系统的线性化动力学方程系数矩阵的特征值,并对非线性微分方程的动态响应进行数值仿真,对升船机承船厢悬挂系统的稳定性以及非线性因素对稳定性的影响等问题进行了初步的研究。

A mathematical model is built,which describes coupling of vertical vibration and pitch of rigid body of a suspended shiplift chamber and slosh of water in the chamber,and derives nonlinear dynamical deferential equations of the system by means of Mathematica software,based on the potential flow theory in fluid dynamics and dynamics of rigid body.By computation of character value of coefficient matrix of the linearized differential equations and dynamical responses of the chamber suspension system of the hoist shiplift scheme for the Three Gorges Project, the stability of the chamber suspension systems of shiplifts is rudimentarily researched.