On the basis of the Hamilton's principle, the element mass matrix, stiffness matrix, and damping matrix caused by Coriolis force of the finite method for the conveying fluid tubes were educed in the paper. 本文用哈密顿变分式推导输送流体管道的有限元法分析单元质量矩阵、刚度矩阵和科里奥利力引起的阻尼矩阵。
Based on the first order shear deformation theory, the nonlinear dynamic equations including transverse shear deformation and initial geometric imperfections were obtained by Hamilton's principle and solved by the semi-analytical method. 基于一阶剪切变形理论,由Hamilton原理推导出包含横向剪切变形以及几何初始缺陷的圆柱壳的非线性动力方程,并用半解析法求解;
Based on the Hamilton's variational principle, the motion differential equation of pipe conveying fluid in consideration of the moment of inertia and shear deformation is derived. The dynamic behaviors and stability of pipe conveying fluid considering moment of inertia are analysed by finite difference method. 根据Hamilton变分原理,推导出了考虑转动惯量和剪切变形时输流管道的运动微分方程,用有限差分法分析了考虑转动惯量时输流管道的动力特性和动力稳定性。
According to Hamilton's principle and finite element method, the models for vertical, lateral and torsion coupled vibration of full-hole drilling strings were established. 根据汉弥尔顿原理和有限单元法,建立了全井钻柱纵向、横向扭转耦合振动动力学模型。
The governing equations for laminated beem are derived in this paper on the basis of Timoshenko's theory of beem by using the method of adding stiffness and Hamilton principle. The static and dynamic problems of evenly laminated beem are also discussed. 本文在Timoshenko梁理论的基础上,应用迭合刚度方法和Hamilton原理,导出了层合梁的控制方程,并讨论了均匀层合梁的静力和动力问题。
Based on Hamilton's law of variation principle, the high accuracy incompatible formulation of finite dynamic element that increased internal degree of freedom was established. The relationship between the derived formulation and the conventional finite dynamic element method was revealed. 基于哈密顿变分原理,建立了增加内部自由度的结构动力分析高精度非协调有限元法计算列式,揭示了它与动态有限元法的内在联系;
Based on the Hamilton's principle and the displacement variation principle, one-dimensional discrete finite element method is developed for vibration analysis of thin-walled members. 对于动力分析部分,概述了Hamilton原理,并由位移变分原理出发推导出考虑剪力滞效应的薄壁杆件振动的一维离散有限元法。