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.
本文章研究了具有旋度控制的线性梁方程的精确可控性。
On the exact controllability with energy constraint for bounded linear systems;
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。
This paper discusses the solvability of an elastic beam equation under asymptotic nonuniform nonresonance condition.
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。
The existence of solution and positive solution is considered for a fourth-order nonlinear elastic beam equation with derivatives of all orders.
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 material mechanics, the problem is called cantilever beam equation which describes the deformations of an elastic beam fixed at left and freed at right.
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。
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。
In this paper, we studied oscillation of the solutions of neutral hyperbolic partial differential equations with nonlinear diffusion coefficient and damped terms.
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 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.
考虑具有介质阻尼及非线性粘弹性本构关系的梁方程，证明了它的有界吸收集和有限维惯性流形的存在性，并由此得到在一定的条件下所给偏微分方程等价于一常微分方程组的初值问题。
The equations of nonlinear viscouselastic beam are considered, The existence of absorbing set and inertial manifolds for the system are obtained, and from which we get that the P D E.
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。
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.
应用龙格库塔法解非线性方程得到了该问题的数值解，给出了截面高度随梁长的变化曲线。
The numerical results of nonlinear formula were obtained by the Runge-Kutta method, and we have also obtained the curve of the height of the example.
悬臂梁安装时的偏差方程序是什么？
What is the deflection equation of a cantilever beam fixed at one edge?
直接对曲梁剪应力的积分方程求解，导出了曲梁剪应力和径向应力的计算公式。
The shearing-stress formula in curved beams can be derived by solving directly an integral equation, and the formula for radial stresses is also presented in this paper.
提出一种在绝对坐标系中建立小应变有限转动平面梁动力学方程的有效方法。
An effective method is presented to derive the equations of finite-rotation plan beams.
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。
Using the normal solutions of the governing differential equation, the general solution of a bending beam is obtained.
研究含外力和阻尼项一类梁的横振动方程解的率减率。
We study the decay rate of solutions of beam equations with damping and external force.
将箱型梁分解成薄板结构，应用简单的强度与材料关系，导出箱型梁的薄膜方程。
A box girder was decomposed splint constructions and simple strength of material relations was used to derive membrane force equations.
采用折算系数法，建立了组合梁振动的运动微分方程，并对其振动特性进行了分析。
The differential equation of the vibration of combined beam is set up and its vibration characters are discussed in this paper.
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.
该方程与相关文献中推导和引用的曲梁微分物理方程（基本假定相同）结论不同。
The equation is different from other conclusions inferring and quoting curved beam differential physical equation(with same fundamental assumptions) in the correlative literatures.
根据所提出的位移模式，结合虚功原理推导出组合梁剪力滞效应微分方程以及相应的边界条件。
A set of difFerential equations and the corresponding boundary conditions are derived according to virtual work principle and the longitudinal displacement patterns.
基于力学振动原理，导出谐振器振动的微分方程，讨论了振梁型加速度计的设计原理。
Based on mechanics of vibration, the resonant differential equation of resonator is derived, and the design principle is discussed for the vibrating beam accelerometer.
推导了弹性支承梁的横向自由振动模态的特征方程。
The latent equation of the freely vibration modes of elastic bearing beam is deduced.
根据两类极限状态的基本要求，建立了预应力混凝土梁截面设计的控制方程，提出了直接设计方法。
Based on the demands of two limit states, the design control equations of cross section for prestressed concrete beam are derived and the direct design method is presented.
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。
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.
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.
然后利用该方程，进行了梁的静变形控制的研究。
Based on these equations, some problems about the shape control have been discussed.
作为计算埋地管道变形和强度的重要基础，给出了弹性地基梁的挠曲线微分方程(位移方程)。
As a important basis of calculating the distortion and strength of the buried pipeline, the paper gives out the space curve differential equations of elastic foundation-beam (displacement equation).
推导了复合梁在温度变化情况的回复力方程和复合梁的振动频率和温度间的关系方程。
The recovery force equations and the relational equations of frequency and temperature were derived from above four constitutive models respectively.
推导了复合梁在温度变化情况的回复力方程和复合梁的振动频率和温度间的关系方程。
The recovery force equations and the relational equations of frequency and temperature were derived from above four constitutive models respectively.
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