An Euler Bernoulli beam equation with one end fixed and a tip mass at another end is considered.
该文考虑一端固定，一端具负荷的梁的振动问题。
This paper discusses the solvability of an elastic beam equation under asymptotic nonuniform nonresonance condition.
在弹性梁方程满足渐近非一致非共振条件时，讨论了方程解的存在性。
The existence of solution and positive solution is considered for a fourth-order nonlinear elastic beam equation with derivatives of all orders.
考察了一类非线性四阶弹性梁方程的解和正解的存在性。
The existence of solution and positive solution is considered for a fourth-order nonlinear elastic beam equation with derivatives of all orders.
考察了含有各阶导数的一个4阶非线性弹性梁方程的解和正解的存在性。
In material mechanics, the problem is called cantilever beam equation which describes the deformations of an elastic beam fixed at left and freed at right.
在材料力学中该问题称为悬臂梁方程，它描述了一端固定、另一端自由的弹性梁的形变。
In this paper, the initial-boundary value problem of a kind of nonlinear fourth-order wave equations with damping and source terms is studied on the base of Beam equation.
本文在梁方程的基础上研究了一类具有非线性阻尼项和力源项的四阶波动方程的初边值问题。
By using a fixed point theorem of mixed monotone operators in cone, this paper studied a fourth-order nonlinear singular boundary value problem, namely a class of elastic beam equation.
利用锥上的混合单调算子不动点定理，本文研究了一类四阶奇异非线性微分方程的边值问题，即一类弹性梁方程问题。
By applying vehicle-bridge vibration theory, dynamical model and equation of railway curve negotiating vehicle as well as the model and equation of curve beam bridge are established.
运用车桥耦合振动理论，建立铁路车辆曲线通过模型动力方程、曲线梁桥模型及其动力方程。
What is the deflection equation of a cantilever beam fixed at one edge?
悬臂梁安装时的偏差方程序是什么？
By means of the equation and scheme of molecular reorientation, the pulsation feature of the diffraction beam was illustrated qualitatively.
给出了液晶分子取向力矩平衡方程从理论上解释了这种现象。
Using the normal solutions of the governing differential equation, the general solution of a bending beam is obtained.
借助控制微分方程的标准基本解答组，获得梁弯曲问题初参数形式的通解。
The momentum flux conservation equation includes the momentum transfer of two gases (heating gas and beam electron).
动量守恒方程包括两种气体(热气体和束电子)的动量转移。
A theoretical model of CO2 laser cutting non-metal materials is built up based on energy balance equation in view of gauss beam distribution.
基于能量平衡方程，考虑高斯光束分布，建立了CO2激光切割高吸收率非金属材料的解析模型。
A method based on the transverse particle motion equation is described for the calculation of beam acceptance for RFQ accelerators.
基于RF Q加速器中束流横向运动方程描述了一种计算其入口处束流接受度的方法。
Gaussian beam is the asymptotic solution of wave equation concentred at the central ray.
高斯束是波动方程在特定射线附近的高频渐近解。
The latent equation of the freely vibration modes of elastic bearing beam is deduced.
推导了弹性支承梁的横向自由振动模态的特征方程。
In this article, we discussed generalized methods for solving the beam eguilibriurr equation with low order terms, analysed stability, convergence and uniqueness of the solution.
讨论了带低阶项的梁的平衡方程的广义解法，分析了解的稳定性、收敛性和存在唯一性。
Gaussian beam method is essentially a seismic forward modeling method that combines wave equation and ray theory.
高斯射线束方法是将波动方程和射线理论相结合的一种地震正演模型方法。
The differential equation for transverse vibration in thick beam is easily established by applying the Hamilton's variance principle.
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。
According to the theory equation of bend beam, using the computer to solve the performance parameters in the design of centralizer assembly is a new, simple and reliable method.
根据纵横弯曲梁理论公式，用计算机求解性能参数进行扶正器组合设计，是简便可靠的新方法。
Furthermore, the conditions have been given that Gaussian beam is a paraxial approximation solution of the wave equation.
进一步指出了高斯光束作为波动方程傍轴近似解的条件。
The variation equation describing distance dependence of the beam waist of a fundamental Gaussian beam with high intensity propagating in logarithmically saturable nonlinear media has been deduced.
导出了在对数饱和非线性介质中传播的强激光基模高斯光束宽度随传播距离变化的方程。
The paper makes analysis to lower bracket of rotary crusher on its inner force by regular equation of beam bend, on basis of which strength of lower bracket can be calculated.
用梁弯曲的力法正则方程对旋回式破碎机下架体进行了内力分析，以此为基础可对下架体进行强度计算。
The exact state equation solution of mechanical electric coupling for a simply supported beam subject to uniform distribution of load is given.
在此基础上，给出了两端简支压电梁机电耦合作用在均布载荷下的精确状态方程解。
The shock formation in a nonlinear ultrasound beam by solving KZK equation using frequency-domain numerical method is investigated.
通过用频域方法数值求解KZK方程； 以活塞声场为例，研究了非线性超声束的冲击波形成规律。
The nonlinear equation of the guyed mast is presented based on calculation models of space cable and beam elements.
将桅杆结构离散为空间纤绳单元和梁单元计算模型，建立了桅杆结构非线性平衡方程。
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.
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 minimum potential theory of energy method, adopting Eular equation, the governing differential equations of curved beam were established.
基于能量法中的最小势能原理，结合欧拉方程建立了构件变形后的中性平衡微分方程。
The all-bending moment equation for dual continuous beam is derived on this basis.
并在此基础上，导出计算曲轴的双连续梁全弯矩方程。
The all-bending moment equation for dual continuous beam is derived on this basis.
并在此基础上，导出计算曲轴的双连续梁全弯矩方程。
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