哈密顿原理,是英国数学家W.B.哈密顿1834年发表的动力学中一条适用于完整系统十分重要的变分原理。它可表述为:在N+1维空间(q1,q2,…,qN;t)中,任两点之间连线上动势L(q,t)(见拉格朗日方程)的时间积分以真实运动路线上的值为驻值。
By means of Hamilton principle, the fundamental equations of nonlinear vibration for circular sandwich plate are derived. In most cases, the face plates of sandwich plate are very thin, consequently, the simplified fundamental equations are given for this case.
由哈密顿原理导出了夹层圆板非线性振动的基本方程,并且给出了表板很薄情况下的简化形式。
参考来源 - 圆薄板和夹层圆板非线性振动研究·2,447,543篇论文数据,部分数据来源于NoteExpress
应用哈密顿原理,推导出均匀杆的纵振动方程与横振动方程。
The longitudinal and transverse vibrating equations of the homogeneous rod are deduced with Hamiltonian principle.
本文对一些著作中有关正则变换与哈密顿原理的两个问题提出了异见。
In this paper, we propose some views different from those found in the literatures about two problems of canonical transformations and Hamilton's principle.
利用哈密顿原理推导出压电结构的变分方程,建立了智能结构的有限元动力方程。
Hamilton's principle is used to derive the equation of piezoelectric thin films and the dynamic finite element equations of intelligent structures.
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