用非线性振动方程描述了球摆在 z 方向上的运动。
The motion of spherical pendulum in z-direction is described by nonlinear oscillation equation.
建立了桥梁的有限元振动方程；
Vibration equations for the bridge are derived using spatial beam element.
根据动力学理论建立钻柱动力学振动方程。
Dynamic vibration equation of drilling string is established based on the theory of dynamics.
研究了二阶摆型振动方程奇调和解的存在性。
The existence of odd-harmonic solutions for a second order pendulum-type oscillation equation was studied.
球面摆铅直方向的运动由一非线性振动方程描述。
The motion of spherical pendulum in z direction is described by nonlinear oscillation equation.
首先利用扁壳体理论建立了大跨柔性屋盖的振动方程。
First, the equations of vibration were established using the theory of thin shallow shells.
对于扁锥壳的非线性动力自由振动方程，给出了准确解。
The precise solution of free vibration equation of flat conical shall is presented.
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.
介绍用迭代方法求解直升机桨叶气动载荷中的非线性强迫振动方程。
An iterative computation method for nonlinear forced vibration equation on helicopter blade aerodynamic load is given.
为了讨论混沌运动，对一类非线性动力系统的自由振动方程进行了求解。
A kind of free vibration equation of the nonlinear dynamical system is solved to study chaotic movement.
通过对进给系统建立运动模型，导出振动方程，并对爬行现象进行了理论分析。
To analyze the creeping phenomenon in theory by modeling the feed system and educing the vibration equation.
由伽辽金方法得到了弹性直杆热胀冷缩状态下受均布简谐激励的非线性振动方程。
The nonlinear vibration equation of the elastic straight bar under thermal expansion and harmonic excitation is obtained by Galerkin principle.
并通过对进给系统建立运动模型、导出振动方程从而对爬行现象进行了理论分析。
By setting up a moving model for the feeding system and deriving the equation of vibration the crawling phenomenon is analyzed theoretically.
基于动力学方程、本构关系和应变-位移关系建立了小变形粘弹性梁的振动方程。
Based on the dynamical equation, the constitutive relation and the strain-displacement relation, the vibration equation of small deflection beams was derived.
二维平行壁面剪切流动进入混沌的现象可用含二次非线性项的强迫振动方程来描述。
The bifurcation and chaotic process of two-dimensional parallel wall shear flows are described by the forced oscillation equation containing a square nonlinear term.
通过阻尼层与壳体作用的边界条件求解流固耦合振动方程，解得辐射声场的表达式。
Through the border conditions of damping layer combined with the shell the coupled oscillation equation was solve, and radiation sound field expression was shown using the shell displacements.
基于转子动力学和齿轮啮合基本原理，建立了一般齿轮耦合轴系弯扭耦合振动方程。
Based on rotor dynamics and the basic principle of gear mesh, this paper sets up the lateral-torsional coupling vibration theory of a general geared rotor-bearing system.
本文讨论具结构阻尼系数的细长体飞行器的弹性振动方程支配系统的最优控制问题。
In this paper, we discuss the optimal control problem for an elastic oscillating system of fine-long cube flying object with structure damping coefficient.
根据接触悬挂系统中的接触线振动方程，推导了接触线应力的均值和方差的计算公式。
Vibration equations of contact wires were used to derive the formulae for calculation of mean and standard deviations of stresses.
将质量和刚度摄动看成是对原结构的简谐激励，获得原结构广义坐标的受迫振动方程。
If mass or stiffness perturbation is considered to be a harmonic excitation, one has obtained a forced vibration equation to the original structure.
采用多尺度法研究拉索大幅振动的各种可能性，运用精细时程积分法数值求解振动方程。
The multiple scale method (MSM) is introduced to analyze the characteristics of cable's vibration, and the precise time-integration method (PTIM) is used to solve vibration equations.
非线性基准建筑物的振动方程属于非仿射系统，目前的非线性模型降阶方法不能采用。
The present nonlinear model reduction methods unfit for nonlinear benchmark buildings as their vibration equations belong to non-affine system.
本文提出了用模态截断法处理复杂结构的随机振动方程、及时域上计算系统随机响应的方法。
A method to treat stochastic dynamic equation of complicated structure by means of modal truncation method and to compute response statistics of dynamic system in the time domain is presented.
本文从无阻尼系统出发，理论上分析了转子系统振动方程的特征根，特征向量所具有的特点。
In this paper, the properties of eigenvalues and eigenvectors of rotor systems are discussed. The derivation shows that eigenvalues are imaginary in non-damping systems, and eigenspaces are complete.
用样条有限元法，导出了层合板的振动方程，建立了求解反对称层合板响应灵敏度的计算公式。
The vibration equation of laminated plates and the calculation formula of responding sensitivity of antisymmetric laminated plates by using spline finite element method are presented.
应用流体的势流理论及悬臂梁振动方程，本文分析了悬臂梁流体悬臂梁耦联系统的自由振动问题。
Based on the potential flow theory of liquid and vibration equation of cantilever beam, the free vibration problem of cantilever beam liquid cantilever beam coupled system is analyzed in this paper.
利用三角级数法模拟了轨道的不平顺，采用列车编组和桥梁组合的模型，建立了车桥耦合振动方程。
By simulating the track irregularities with trigonometric series method, the train-bridge coupling vibration equations are established based on the combined modal of train formation and the bridge.
分析了国内外在列车-轨道（桥梁）时变系统空间振动方程的建立及其求解过程中存在的根本问题。
The fundamental problem in the establishment and solution to the spatial vibration equation of train-track (bridge) time-varying system at home and abroad is analyzed in detail.
一元线性方程、抛物线方程及非线性阻尼振动方程对描述土壤缓冲速率及缓冲量动力学具有适应性；
Linear equation with one unknown, parabolic equation and nonlinear damped vibration equation well fit to describe the dynamics of Lou soil buffering rate or value.
一元线性方程、抛物线方程及非线性阻尼振动方程对描述土壤缓冲速率及缓冲量动力学具有适应性；
Linear equation with one unknown, parabolic equation and nonlinear damped vibration equation well fit to describe the dynamics of Lou soil buffering rate or value.
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