| 关于速度空间中的积分变分原理 |
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| 引用本文： | 黄昭度.关于速度空间中的积分变分原理[J].北方工业大学学报,1988(2). |
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| 作者姓名： | 黄昭度 |
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| 作者单位： | 北方工业大学建筑学部 |
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| 摘 要： | 本文提出了速度空间中的两种积分变分原理,讨论了存在驻值原理的条件及极值性质,最后讨论了速度空间中的变分原理在弹性动力学中的应用。
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| 关 键 词： | 分析力学 变分原理 速度空间 阿沛尔方程 非完整系统 |
On Integra1 Variational Principles in the Velocity Space |
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| Huang Zhaodu.On Integra1 Variational Principles in the Velocity Space[J].Journal of North China University of Technology,1988(2). |
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| Authors: | Huang Zhaodu |
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| Affiliation: | Department of Architecture |
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| Abstract: | In this paper, two kinds of integral variational principles in the velocity space are presented. The condition of existing stationary value of the functional and the characteristic of the stationary value are discussed. Finally, the applications of variational principles in the velocity space to elastodynamics are discussed. |
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| Keywords: | analytical mechanics Variational principle Velocity space Appell's equations non-holonomic system |
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