| 用哈密顿原理建立弹性体动力学方程 |
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| 引用本文： | 庄铭毛.用哈密顿原理建立弹性体动力学方程[J].汕头大学学报(自然科学版),1988(1). |
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| 作者姓名： | 庄铭毛 |
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| 作者单位： | 汕头大学建筑工程学系 |
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| 摘 要： | 本文提供一种用哈密顿原理建立弹性体动力学方程的方法.对于完整保守的力学系统.哈密顿原理是变分原理.因此,可由欧拉方程直接写出弹性体的运动微分方程.这种方法的优点在于它不涉及未知的约束力.而只着眼于能量.
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| 关 键 词： | 变分 完整约束 拉格朗日函数 哈密顿作用量 泛函 驻值 |
A Method to Derive Dynamic Equation of Elastic Body from the Hamilton's Principle |
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| Zhuang Mingmao.A Method to Derive Dynamic Equation of Elastic Body from the Hamilton''''s Principle[J].Journal of Shantou University(Natural Science Edition),1988(1). |
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| Authors: | Zhuang Mingmao |
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| Institution: | Department of Architectural Engineering |
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| Abstract: | This paper presents a method to derive dynamic equation of elastic body from the Hamilton's principle.The Hamilton's principle is the variational principle underlying the holonomic and conservative mechanical system,so that using Euler's equation,we can write out directly the diff- erential equation for the motion of the elastic body.The advantage of this method lies in that it is concerned only with energy,but not with unknown constraint forces. |
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| Keywords: | Variations Holonomic constraint Lagrange's function Hamilton's action Functional Stagnation |
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