According to Hamilton Principle, the interpolating vibration mode function is proposed to study the dynamic response of vehicle-bridge coupling Vibration under the moving load. 根据哈密顿原理,提出了应用插值振型函数法,研究多跨连续梁在移动荷载作用下车桥耦合振动的动态响应问题。
Space Cone Pendulum Modeling and TRID Controlling Analysis of Suspended Mass System Based on Hamilton Principle 基于Hamilton原理的悬吊质量体系空间摆振建模与TRID系统控制分析
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。
A Geometric Description of the Hamilton Principle for Nonconservative Nonholonomic Systems 非完整非保守系统Hamilton原理的几何描述
A mechanical system in general is studied with methods in modern geometry and a necessary and sufficient condition is derived for mapping it into a Newtonian motion. The geometric form of extended Hamilton principle is finally presented. 用近代几何方法对一般情形的力学系统进行研究,导出了一映射为牛顿运动的充要条件,最后给出了广义Hamilton原理的几何形式。
Hamilton Principle for Any Order Nonholonomic Systems and Hamilton Generalized Variational Principle for One Order System 任意阶非完整系统的广义Hamilton原理及一阶系统的Hamilton广义变分原理
In this paper, it is analyzed that Hamilton principle has effect on particle. Hamilton原理对经典粒子、微观粒子及引力场中自由粒子的运动方面所起的作用做了推导分析。
Based on Hamilton principle, the dynamic Rigid Body-Spring Method is also studied. 并且根据哈密顿原理,推导了刚体-弹簧元分析结构动力响应的计算公式,编制了相应的程序;
By means of the language of mathematical logic the invariance of Hamilton principle under canonical transformation is expressed and proved. 用数理逻辑的语言表述了哈密顿原理及其在正则变换下的不变性,并给以证明。
The relativistic dynamics equation of the rotational variable mass particle is set up, the relativistic dynamics function of the rotational variable mass system is constructed, and the relativistic Hamilton principle for the system is given. 建立了转动变质量质点的相对论性动力学方程,构造转动变质量系统的相对论性动力学函数T*r,给出转动了变质量系统的相对论性Hamilton原理。
Based on the constructive function, the finite function and reduced planar piezoelectric function was derived through Hamilton Principle. 从第二类压电方程出发,运用Hamilton原理,推导了压电层合梁的有限元方程以及退化后的二维压电方程;
A new nonlinear wave equation in nonlinear circular-rod waveguide taking account of the nonlinear constitutive relationship and transverse inertia and shear effects is derived by means of Hamilton principle. 以圆杆波导为研究对象,考虑了由应力应变关系导致的物理非线性、横向惯性、横向剪切效应共同作用下的非线性波的传播,利用Hamilton变分原理导出了非线性纵向波动方程。
Develop an analytical model of the nonlinear aeroelasticity of the high-aspect-ratio wings and give the nonlinear partial equations of wing structure motion based on the Hamilton principle. 主要工作如下:1、建立了大展弦比机翼的非线性气弹分析模型,根据哈密顿原理推导了机翼结构的非线性运动微分方程;
A dynamic equation of the simply supported beams system carrying moving mass is discussed and numerical integration is done by using structure dynamic response algorithm based on the Hamilton principle. 给出了移动质量-简支梁系统的动力学方程,并用基于Hamilton原理的结构动响应算法对方程进行数值求解。
Generalized Multi-Time Hamilton Principle and Canonical Transformation Group 推广的N个时间的哈密顿原理和正则变换群
This paper discusses the mechanical properties of noncontemporaneous variation, from which the Hamilton principle and the principle of least action are derived. 本文讨论了非等时变分的力学性质,并由此导出Hamilton原理和最小作用量原理。
The Modelling Method of Flexible Multibody Dynamics Based on Hamilton Principle 基于Hamilton原理的柔性多体系统动力学建模方法
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 the Hamilton Principle, this paper derives the equation of Non linear dynamic finite element, and presents a way to solve this equation, which combines the Newton Raphson iteration method and Newmark method. 根据哈密顿原理推导了非线性动力有限元的平衡方程,并提出用牛顿&拉夫逊法与纽马克法相结合对非线性动力有限元方程进行求解的方法。
Finally, the essential reasons are given why it is unconscionable for the Hamilton principle to be generalized to the intrinsical nonlinear nonholonomic system. 最后给出了Hamilton原理向本质非线性非完整系统推广时产生数学与力学上不合理的根本原因。
A unified form of Hamilton principle in intrinsical linear nonholonomic system is studied in chapter 4. Lastly, this paper presents the conclusion and the prospects of the nonholonomic dynamics. 第四章研究了本质线性非完整系统的Hamilton原理;第五章给出了本文的结论与有关研究的展望。
In chapter 2 Hamilton principle, Solitons, Reductive perturbation methods and Complete approximate method are presented. 在第二章介绍了哈密顿原理、孤立子、约化摄动方法、完全近似方法等本文主要用到的原理、概念和方法。
The structurally closed loop coupling model of drum brake squeal is established on the basis of experimental study. The relevant equations of structural dynamics have been derived by applying Hamilton Principle, moreover; 试验研究制动器结构参数对制动噪声的影响,建立鼓式制动器高频噪声问题的结构闭环耦合模型,运用Hamilton变分原理推导该问题的结构闭环耦合动力学方程。
According to the Hamilton principle, the equation of vibration control of composite laminated plates with the simply supported boundary condition using various plate theories is deduced, and the frequency and amplitude of the system are gained. 根据Hamilton原理,推导出复合材料层合板在四边简支的边界条件和各阶板理论下的振动控制方程,求得系统的频率、振幅。
The motion equations of the system are formulated in matrix form using Hamilton principle and the assumed mode method. 根据Hamilton原理和假定振型方法建立系统的动力学控制方程。
First, the dynamic stability of braid composite cylindrical shells with the influences of some main factors is introduced. The general governing equations for the nonlinear dynamic stability is obtained. by the Hamilton Principle. 首先介绍了编织复合材料圆柱壳在几种主要因素影响下的动力稳定性问题,用Hamilton原理建立非线性动力稳定性问题的一般性基本方程。
Relativistic Hamilton principle and equations of motion in derivation space on any order nonholonomic systems 任意阶非完整系统在导数空间相对论性的Hamilton原理及其运动方程
Based on Hamilton principle, the equation of active vibration control of the piezoelectric laminated plate is derived. 采用Hamilton原理推导了压电层合板主动振动控制方程。
Then the equations governing the motion of the shell are derived by means of the Hamilton principle. 进而用能量原理推导出了通用的壳体运动方程。
According to Hamilton principle, the motor mathematical model is build in the view of energy which is involved with mechanical vibration, elasticity, piezoelectricity and other related theories. 根据Hamilton原理,从能量角度对电机进行了数学建模。在对电机的建模过程中,主要利用了机械振动、弹性力学、压电学等有关理论。