| 工程充液腔体中液体非线性晃动模型及混沌分析 |
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| 引用本文： | 钟顺,陈予恕.工程充液腔体中液体非线性晃动模型及混沌分析[J].中国科学(G辑),2013(4):372-379. |
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| 作者姓名： | 钟顺 陈予恕 |
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| 作者单位： | [1]天津大学建筑工程学院,天津300072 [2]天津大学机械工程学院,天津300072 [3]天津市非线性动力学中心与混沌控制重点实验室,天津300072 |
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| 基金项目： | 国家自然科学基金重点项目（批准号：10632040）和天津大学自主创新项目资助 |
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| 摘 要： | 以一类工程中广泛应用的充液系统为研究对象，建立了描述充液系统耦合晃动的非线性动力学方程组．深入研究了耦合系统在非内共振和内共振情况下的晃动规律，得到了以干扰力幅值为分岔参数．的分岔图及特性曲线．对比分析表明耦合系统在内共振时通向混沌的道路发生改变，出现“混沌同步性”这一新现象，充分说明在工程研究中，非线性因素以及由非线性因素弓1起的内共振现象给系统动力学带来本质变化，结果对其进一步优化设计具有指导意义．
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| 关 键 词： | 液固耦合系统 分岔 内共振 混沌同步性 |
Modeling and chaos of the liquid nonlinear sloshing in the engineering liquid-filled cavity |
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| Authors: | ZHONG Shun ＆ CHEN YuShu |
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| Institution: | , (1.School of Civil Engineering, Tianjin University, Tianjin 300072, China; 2 School of Mechanical Engineering, Tianjin University, Tianjin 300072, China; 3.Tianjin Key Labortory of Nonlinear Dynamics and Chaos Control, Tianjin 300072, China |
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| Abstract: | The nonlinear vibration equations of solid-liquid coupled system are established. The bifurcation diagrams of the coupled system whether or not with internal resonance are get, respectively. By contrast, under the condition of internal resonance, the chaotic road of the system is changed, and a new phenomenon called ＂Chaos Synchronism＂ is found. It is illustrate that, during the engineering research, the dynamical behaviors affected by the nonlinear factors and the internal resonance are very huge. The results provide theoretical significances for the design and the control of the system and giving better explanation of the complex nonlinear dynamical behaviors. |
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| Keywords: | solid-liquid coupled system bifurcation internal resonance Chaos Synchronism |
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