| 船舶参-强横摇动力学系统的稳定性 |
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| 引用本文： | 李莉,曹慧荣,王坤.船舶参-强横摇动力学系统的稳定性[J].重庆工学院学报,2008,22(4):39-44. |
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| 作者姓名： | 李莉 曹慧荣 王坤 |
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| 作者单位： | 廊坊师范学院 河北廊坊065000(李莉，曹慧荣)，燕山大学 河北秦皇岛066004(王坤) |
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| 摘 要： | 系统地研究了船舶参-强激励动力学系统的稳定性.由于所讨论的系统模型为含有变系数的非线性微分方程模型,用构造李亚普诺夫函数的方法讨论该系统的稳定性非常困难,所以利用数值级数方法来讨论该系统的稳定性,并结合算例进行了论述.结果表明,该模型可得到横摇非线性动力学系统的近似解,并通过参数曲线得出了模型的稳定性和幅频响应特性.
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| 关 键 词： | 非线性微分方程 稳定性 横摇 李亚普诺夫 变系数 |
Stability of Ship Parametric-Forced Excitation Dynamics System |
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| LI Li,CAO Hui-rong,WANG Kun.Stability of Ship Parametric-Forced Excitation Dynamics System[J].Journal of Chongqing Institute of Technology,2008,22(4):39-44. |
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| Authors: | LI Li CAO Hui-rong WANG Kun |
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| Affiliation: | LI Li1,CAO Hui-rong1,WANG Kun2 |
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| Abstract: | This paper researches the stability of ship parametric-forced excitation dynamics system.Because the system model discussed in this paper is nonlinear differential equation model containing the variable coefficient,it is extremely difficult to discuss system stability by means of structuring Ljapunov.Therefore this chapter uses the numerical series method to discuss this system stability,and examples are used to carry on the elaboration.The results show that this model produces approximate solution to the rolling nonlinear dynamic system,and the stability and amplitude-frequency response features of the model with parametric curves. |
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| Keywords: | nonlinear differential equation stability rolling Ljapunov variable coefficient |
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