四阶边值问题给出了梁振动的数学模型。
The mathematical models of the vibration of beams are given by fourth-order boundary value problems.
本文研究由于大挠度引起的曲率非线性对简支梁振动的影响。
We investigate the effect of nonlinear curvature on vibrations of an elastic simple supported beam and roller with large deflection.
对压电智能梁振动控制中压电致动片的大小与位置进行了优化研究。
The optimal location and size of the piezoelectric actuators in vibration control of smart beams are optimized.
这个方法是建立在三次样条函数、梁振动函数(或三角函数)及变分原理基础上。
The method based on the cubic B-spline function, beam vibration function (or trigonometric functions) and variation principle.
结果表明，当压电梁振动阶数较高时，陶瓷片的横向布置对梁的振动特性影响很小。
The results show that the effects of orientation of piezoelectric ceramic on high order vibration characteristics of beam are low.
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.
考察在以前的研究中所忽略的时滞，对于柔性悬臂梁振动的饱和控制究竟可以产生什么影响。
It focuses on the effects of time delay which was ignored in the previous research on the saturation control of a flexible cantilever beam.
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.
运用分段线性系统分析理论，研究间隙约束的悬臂梁振动系统在简谐激励下系统稳态响应的动力学行为。
Using piecewise linearity system theory, the harmonic excitation nonlinear response of clearance restriction cantilever beam system was researched.
首先，将二维梁振动理论与三维船体湿表面网格划分方法相结合，提出了一种适用于三维水弹性分析的浮体湿表面网格划分方法。
Firstly, a new mesh generation method for 3-d hydro-elastic analysis is proposed with the combination of 2-d Timoshenko beam theory and 3-d wetted surface mesh generation method.
假设梁的运动由刚性回转与柔性振动两部分组成。
The beam motion is divided into two parts: rigid rotation and flexible vibration.
为了抵挡地震，工程师们在建筑物的支撑梁之间安装了防震器来减弱振动和减少破坏。
To protect against earthquakes, engineers can install shock absorbers between a building's support beams to dampen the oscillations and reduce damage.
采用该模型计算了健康和局部破损梁的振动特性参数，计算结果与实际测试结果相吻合；
The parameters of vibrational characteristics for healthy and broken RCBs were calculated by the model and the mode parameters of a real RCB were tested.
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.
文中采用的锤击力振动梁测量系统测试动弹性模量快速、简便，并有较高的精度和可信度。
The method for determing the dynamic modulus adopted in the present experiment was found not only simple and convenient, but also highly precise.
通过模型梁试验，建立起简支梁在附加荷载作用下振动特性与破损模态之间的关系。
Through the test of model beam, we build the relationship between characteristics of vibration with attached load and its damaged mode.
其次，本文对主梁进行了模态分析，研究了主梁的振动特性以及运行机构底座处下盖板在振动的影响下，产生裂纹的可能性。
Secondly, carry on the mode analysis to the girder, research the girder vibration property and the probability of crackle takes shape in the vibration effects of traveling organization pedestal.
理论上研究了单位力扰动下的悬臂梁的振动。
Vibrations of Timoshenko beam per unit disturbance are investigated in theory.
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.
用有限元法对摊铺机振动梁进行了固有特性和谐波响应分析。
The intrinsic characteristics and harmonic responses of vibrating beam of paver are analyzed using FEA.
计算结果显示，钢弹簧支座能更有效地降低梁体与桥墩的振动加速度。
Calculation results indicate that the vibration acceleration of beam and pier can be more effectively reduced with steel spring bearing.
以船舶辅机的梁式隔振结构为对象，运用模态分析方法和自适应算法，推导并分析了梁式结构振动主动控制的基本原理和方法。
The active vibration control of the beam structure, which is used in the isolation of the ships auxiliary machines, is studied by using modal analysis method and adaptive algorithm in this paper.
含有各阶导数的问题可以更精确地描述梁的振动。
The problems with all-order derivatives can describe more precisely the vibration of beams.
最后，搭建了压电悬臂梁结构主动振动控制的实验平台，对理论分析结果进行了验证。
At last, experimental platform for a piezoelectric cantilever beam is set up, and the theoretical analysis has been verified by experiments.
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.
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.
在此基础上，考虑模型的不确定性因素，建立了不确定压电智能梁结构的振动控制模型。
With taking into account some uncertainty factors, the vibration control model of piezoelectricity intelligent beam structure is founded.
研究了一种新型结构的光纤悬臂梁式振动传感器。
This paper deals with a novel type of optic fibre cantilever vibration sensor.
结果表明：初压力和初偏移的不同组合，能够影响梁非线性振动的频率。
The result shows that the frequency of the beam is effected by the different combination of initial deflection and initial pressure.
结果表明：初压力和初偏移的不同组合，能够影响梁非线性振动的频率。
The result shows that the frequency of the beam is effected by the different combination of initial deflection and initial pressure.
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