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.
最后本文以准振型为广义座标，以哈密顿原理为手段，得出了频率计算的近似方程。
Also an approach formula for frequency calculation is obtained by taking the quasi-vibrational mode as a generalized coordinate and by virtue of the Hamilton's principle.
研究基于电热函的广义哈密顿原理在压电材料的机(力)-电耦合效应分析中的应用。
This paper presents the electric enthalpy density-based Hamilton principle and its application in solving the problems with coupled mechanical and electrical properties of piezoelectric materials.
基于一阶剪切变形理论和哈密顿原理，建立了旋转层合圆板动力学运动方程和相应的边界条件。
Based on the first order shear deformation theory and Hamiltonian principle, the governing equations and boundary conditions of rotating multi-layer annular plate were derived.
再根据哈密顿原理导出了悬索大挠度振动的有限体积离散方程，推出了索的整体节点力向量、质量矩阵和切线刚度矩阵。
The final finite-volume discretization equations are derived using the Hamilton principle. Meanwhile the global nodal force vector, mass matrix and tangent stiffness matrix of the cable are obtained.
再根据哈密顿原理导出了悬索大挠度振动的有限体积离散方程，推出了索的整体节点力向量、质量矩阵和切线刚度矩阵。
The final finite-volume discretization equations are derived using the Hamilton principle. Meanwhile the global nodal force vector, mass matrix and tangent stiffness matrix of the cable are obtained.
应用推荐