起重船吊物系统混沌振动特性研究
首发时间:2008-05-16
摘要:本文运用混沌数值分析方法中的相图方法、庞加莱映射方法和李雅普诺夫指数方法分析判别了起重船吊物系统中存在的混沌现象,利用Melnikov函数得到起重船吊物系统产生混沌振动的边界条件。研究结果显示,数值分析得到的混沌发生范围与理论计算结果吻合,从而表明Melnikov方法是预测混沌振动的有效方法,Poincare映射方法和Lyapunov指数是判定吊物系统非线性动态特性的可靠指标。
关键词: 起重船 吊物系统 Melnikov函数 Lyapunov指数 混沌
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Simulation of Chaotic Behavior of Lifting Load System of Ship-mounted Cranes
Abstract:This study investigates the chaotic response of the load system of ship mounted crane. Phase portraits, Poincare maps and Lyapunov exponents are used to concerning the inhibition of chaos in load system of ship mounted crane, it is shown that in some cases the response becomes periodic or chaotic. Melnikov analysis is applied to this model, which indicates the region of non-chaotic states and chaotic states. The results show that Melnikov method and the Lyapunov exponent are truly characteristic criterions to determine the nonlinear dynamic properties of load system.
Keywords: ship-mounted crane lifting load system Melnikov function Lyapunov exponents chaos
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No.2150224053212109****
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