弧形闸门支臂结构的非线性振动及混沌现象

摘要

分析了弧形闸门支臂结构的非线性振动现象,建立了非线性动力学微分方程,在分析非线性振动时识别出支臂结构振动的混沌非线性动力学行为;使用MATLAB程序进行了数值分析,绘制出了系统的时程曲线图、相图、功率谱图并计算了Lyapunov指数.%The nonlinear vibration phenomena of arm structure in radial gate is analyzed and a nonlinear dynamic differential equation is established.The nonlinear dynamical behavior liking chaos of arm structure is identified in analyzing the nonlinear vibration.The MATLAB program is used to numerically analyze the chaos phenomena.The time response curve diagrams,phase diagrams and power spectrum diagram are draw and the Lyapunov exponent is also calculated.