以有矩理论导出圆柱壳体的振动微分方程。
The dynamic equations of the circular cylindrical shell are based upon an exact moment theory.
采用泛函变分法导出了隔水管的振动微分方程。
The differential equation for the vibration of the riser system is derived by means of functional calculus of variation.
建立了正弦波纹扁球壳的非线性强迫振动微分方程；
The differential equations of nonlinear vibration of the shell were obtained.
选定状态变量，得出悬挂系统状态方程和振动微分方程。
The state equation and vibration differential equation of suspension system was set up through selecting state variable.
通过建立轨道振动微分方程，得到了单轮作用下轨道变形的解析表达式。
Analytical formula of track deformation under a single wheel load was derived by establishing the differential equation of track vibration.
本文通过建立轨道振动微分方程，得到单轮作用下轨道变形的解析表达式。
The analytical formula of track deformation under a single wheel load has been deduced by establishing the track vibration differential equation.
并对在该模型下建立的动力矩阵用动力凝聚法进行简化，推导了相应的振动微分方程。
Through dynamic force condensing, the dynamic matrix of mega-frame is simplified, and corresponding oscillatory differential equation is obtained.
最后自动组成空间刚体自由振动微分方程的系数阵，并计算出刚体的自振频率和振型。
Therefore, the differential equations 'coefficient matrix of the free vibration of the spatial rigid body is automatically formed, and free vibration frequency and its type can also be found out.
本文假设了接近砖烟囱实际截面面积的函数，推出了一个变系数的自由振动微分方程。
In this paper, a cross-section function of brick chimney has been assumed based on traditional hypothesis and a variable coefficient free-vibrating differential equation has been derived.
本文首先建立了架空索道的动力学模型，并建立了它的振动微分方程、初始条件及边界条件。
A dynamic model of overhead cable for ropeway is developed together with differential equations of its vibration and initial and boundary conditions.
根据薄板假定，采用文克勒地基模型，本文推导了文克勒地基上无限大板的纵向振动微分方程。
In this paper, the longitudinal dynamic equation of plate on Winkler foundation is derived with thin plate assumption and Winkler foundation model.
求解有阻尼多自由度结构系统的振动微分方程，实模态分析法是得到广泛应用的一种有效方法。
The dynamic response of the damping multi-DOF structural system is usually calculated by the real modal analysis method.
以直管科里奥利质量流量计为研究对象，给出被测流体脉动时测量管的振动微分方程，讨论了方程的求解过程。
The vibrational equation of the tube was given with the straight tube Coriolis mass flow meter as the investigated object, and the solving process is discussed.
以矿井提升装载过程中的箕斗和钢丝绳为研究对象，建立了变质量箕斗的运动微分方程及钢丝绳的纵向振动微分方程。
Aiming at wire rope and skip in loading, movement differential equations of skip with different mass and longitudinal vibration differential equations of wire rope were proposed.
考虑液动压力对油管柱纵向振动的影响，建立了油管柱纵向振动微分方程，并给出了这种情况下油管柱纵向振动的频率方程。
In consideration of the effect of liquid dynamic pressure on the tubing string vertical vibration, the differential equation and frequency equation for describing the vibration are set up.
为了研究混沌运动，对一类非线性动力系统的自由振动方程进行了求解，继之给出了单层扁锥面网壳非线性自由振动微分方程的准确解。
In order to study chaos movement, Accurate solution of non-linear free vibration differential equation is by solving a kind of free vibration equation of non-linear dynamics system.
本文基于结构动力修改，提供了修改的思路和方法：通过刘叠片联轴器联结的结构进行分析，利用有限元方法建立系统的力学模型以及系统扭转振动微分方程。
So structure parameters are needed to modify. This paper provides a good idea and effective methods based on the theory of structural dynamic modification to solve the problem.
分析了减振固定式直线电动压缩机机体上的激振力，推导了机体的振动微分方程式，重点讨论了理想情况下机体振动微分方程式的具体表达式并对其进行了数值求解。
The paper analyzes the exciting force on the fixed tube linear motor drive compressor(TLMDC), and provides the concrete body vibration differential equations on TLMDC and its calculating results.
本文应用可积的一类线性微分方程求出了非均质变截面弹性直杆振动问题的一个精确解，我们应用这一精确解验证了渐近解的精确度。
This paper gives an exact solution for free vibration of a physically nonuniform straight bar with varying section by the use of a class of integrable linear ordinary differential equation.
获得了一类带有连续和分段常数变元的中立型微分方程所有解振动的新的充分条件。
The new sufficient conditions for the oscillation of all solutions of the neutral differential equation with continuous and piecewise constant arguments are obtained.
为了降低高速电梯的水平振动，建立了4自由度的电梯轿厢水平振动主动控制的动力学模型，给出了微分方程，建立了状态空间模型；
To reduce the horizontal vibrations of high-speed elevator, a 4DOF dynamic model of elevator was developed, and the differential equations and the state space model were also given.
建立发动机气门振动的运动微分方程，该模型杆端作支承运动，考虑阻尼和较复杂的边界条件。
Considering damping and complicated boundary conditions for the valve support movement, the dynamic equation of the valve vibration of engine is found.
对刚柔耦合回转角和刚柔耦合振动的微分方程，则通过摄动法求解。
The rotating Angle and vibration of rigid-flexible coupling are solved by the perturbation method.
中立型泛函微分方程的振动性在理论和应用中有着重要意义。
The oscillation of neutral functional differential equations has important implications in both theory and application.
本文建立了具有阻尼项的高阶微分方程新的振动定理。
This paper obtains a new oscillation theorem of high-order differential equation with damping.
本文应用哈密顿变分原理较简捷地建立了厚梁横向振动的微分方程。
The differential equation for transverse vibration in thick beam is easily established by applying the Hamilton's variance principle.
文中给出了这一非线性振动模型的微分方程，并用奇异摄动法求得了渐近解。
This paper also gives the differential equation of the nonlinear vibration model, and obtains its asymptotic solution by means of singular perturbation methods.
文中给出了这一非线性振动模型的微分方程，并用奇异摄动法求得了渐近解。
This paper also gives the differential equation of the nonlinear vibration model, and obtains its asymptotic solution by means of singular perturbation methods.
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