| 线性无阻尼半正定振动系统简明正定化方法 |
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| 引用本文： | 郑建华,陈艳锋,王基.线性无阻尼半正定振动系统简明正定化方法[J].海军工程大学学报,2009,21(4). |
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| 作者姓名： | 郑建华 陈艳锋 王基 |
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| 作者单位： | 海军工程大学,船舶与动力学院,武汉,430033 |
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| 摘 要： | 从线性无阻尼半正定振动系统运动微分方程出发,分析得出系统作自由振动时具有内部惯性力守恒、振动动量守恒以及质心守恒等3个基本物理属性.在此基础上,给出了简明的正定化方法,并证明了该方法的普适性,数值算例也验证了其正确性.与"物理约束"法相比,文中提出的正定化方法规则简单,计算量小,适用于理论推导、计算机编程和数值计算.
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| 关 键 词： | 振动 正定系统 半正定系统 守恒 运动微分方程 刚度矩阵 物理约束 |
A positive-definition method for un-damped linear positive semi-definite vibration system |
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| ZHENG Jian-hua,CHEN Yan-feng,WANG Ji.A positive-definition method for un-damped linear positive semi-definite vibration system[J].Journal of Naval University of Engineering,2009,21(4). |
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| Authors: | ZHENG Jian-hua CHEN Yan-feng WANG Ji |
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| Institution: | College of Naval Architecture and Power;Naval Univ.of Engineering;Wuhan 430033;China |
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| Abstract: | Based on the analysis of the dynamical differential equation,the un-damped linear positive semi-definite free vibration system was proved to have three basic physical characteristics of the inner inertial force conservation,vibration momentum conservation and centroid conservation.Then,a po-sitive definition method was proposed and proved to be effective by an example.Compared with the traditional method of physical constraint,the proposed one has simpler rules and higher computational efficiency,which is a... |
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| Keywords: | vibration positive definitive system positive semi-definitive system conservation dynamical differential equation stiffness matrix physical constraint |
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