查询词典 nonlinear vibration

Obtaining the displacement of vibration, the velocity and acceleration are directly computed by differentiation matrices. The period of nonlinear vibration is computed by barycentric Lagrange interpolation collocation method.

计算得到振动位移后，采用微分矩阵和重心Lagrange插值计算非线性振动的速度、加速度和振动周期。

In this part, the characteristics of transient responses of flexible rotor systems with arbitrarily distributed mass on isotropic or anisotropic supports passing through several critical speeds seguencially are examined. Here, the current knowledge of rotor dynamics on the eigenproblem of damped free whirling vibration, the generaliged damped mode theary, the transient forced vibration and so on combined with KBM asymptotic method in the nonlinear vibration theory is employed and extended.

作者综合运用并引伸推广转子动力学关于阻尼自由回旋振动的特征问题、广义阻尼模态理论、瞬态强廹振动等現代理论和方法，结合非线性振动理论中的KBM渐近法，提出自己独創見解和覌点，成功地建立起正回旋和逆回旋两种情况下转子通过临界点的瞬态振动一阶微分方程组，可以在临界点的邻域内从事方程的数值积分计算。

Its nonlinear vibration equation was presented, and the approximate solution of nonlinear vibration of elliptic paraboloid cable mesh was given by using Galerkin principle and KBM method.

建立椭圆平面双曲抛物面碳纤维索网在主体结构位移激励下的非线性振动方程，采用Galerkin原理及KBM法求得椭圆平面双曲抛物面碳纤维索网非线性振动的近似解。

And the effects of foundation displacement excitation,temperature,amplitude and asexternal damping on the nonlinear vibration of elliptic paraboloid cable net with the comparison between steel cable and carbon fiber cable were discussed.At last the conclusions are obtained that the temperature have great influence on steel cable and bat not on carbon fiber cable,and the vibration characteristics of cable net using carbon fiber cables is superior to cable net using steel.

在把碳纤维索网与钢丝索网比较的基础上，讨论分析了位移激励、温度、振幅、外阻尼等因素对椭圆平面双曲抛物面碳纤维索网非线性振动的影响，得到了碳纤维索网对温度变化不敏感，而钢丝索网受温度的影响却很大，且碳纤维索网振动特性优于钢丝索网振动特性的结论。

Taking into account the temperature effect ,the nonlinear vibration of elliptic paraboloid cable net using carbon fiber cables under foundation displacement excitation was studieded.Then the nonlinear vibration equation was presented,whose approximate solution was given with Galerkin principle and KBM method.

在考虑温度变化的基础上，研究椭圆平面双曲抛物面碳纤维索网在基础激励下的非线性振动问题，建立了椭圆平面双曲抛物面碳纤维索网在基础位移激励下的非线性振动方程，采用Galerkin原理及KBM法求得了椭圆平面双曲抛物面碳纤维索网非线性振动的近似解。

This paper mainly consists of three parts:(1) Based on the Reddy's higher-order shear deformation plate theory and general von Kármán-type equations, put forward the governing equations of pre- and post-buckled vibration of several hybrid FGM plate forms which have not been studied adequately, triumphantly applying the perturbation technique combined with Galerkin method into equations solving, and get the comparatively simple result forms with complicated deduction at last;(2) As a new type of materials, piezoelectric fiber reinforced composite actuators were applied to optimal vibration control, interrelated informatons be depicted in this paper;(3) During the investigative cource, some factors not been considered adequently in other researches were discussed fully in the postbuckled vibration analysis, such as the temperature-dependent material coefficients, heat conduction and nonlinear vibration characteristic etc.

本文的研究工作主要包括：(1)基于Reddy高阶剪切变形板理论和广义Kármán型方程，给出了几类现有研究成果较少或没有彻底解决的FGM混合板结构的屈曲前和屈曲后振动特性研究的控制方程，成功将摄动-Galerkin混合法应用于求解过程，并给出了各控制方程相对直观且易于计算的解析解形式；(2)单向压电纤维增强复合材料(Piezoelectric Fiber Reinforced Composite，简称PFRC)是一种新型压电材料，本文将其应用到了结构振动控制研究当中，发现通过压电纤维体积含量的选择可以实现混合板结构的优化振动控制；(3)围绕几种有代表性的FGM混合板结构，讨论其屈曲后的振动特性，在分析中同时考虑热传导，材料物性参数的温度相关性，以及机/热/电荷载耦合效应对非线性振动特性的影响，最后给出了大量数值计算结果。

Vibration control ; neural network ; adaptive control ; nonlinear vibration system ; system identification

振动控制；神经网络；自适应控制；非线性振动系统；系统辨识

Also the response amplitude will be changed with the initial conditions due to the nonlinear properties of the cables.Taking the bending stiffness, cable sag and cable inclination into consideration, the space vibration control of the cables using the visco-elastic dampers in cable-stayed bridges is investigated by joining the center difference method and the state space strategy. Both the maximum modal damping ration and the optimal damper size are obtained, then the practical suggestions are proposed for the design of the dampers. The space nonlinear vibration equations of the cable-damper system are derived, and anew hybrid method for solving the cable-damper system is presented by combing the Newmark method and Pseudo-force technology. According to the known properties of the cable-damper system, the nonlinear transient responses are analyzed under all kinds of excitations. Based on the transient response, the control effectiveness of the visco-elastic dampers is further demonstrated.

综合考虑了拉索抗弯刚度、垂度的影响，研究了粘弹性阻尼器对斜拉桥拉索的空间振动控制，联合中心差分方法及状态空间法，得出了拉索面内、外振动各阶模态可能达到的最大阻尼比及相应的最优阻尼器系数，并对斜拉桥拉索的阻尼器设计提出了参考建议：考虑拉索抗弯刚度、垂度及几何非线性，导出了索-阻尼器系统的空间振动非线性方程组，结合Newmark方法及伪力(Pseudo-Force)方法，创新地提出了求解非线性方程组的杂交方法，根据拉索-阻尼器系统的阻尼特性，在各种荷载作用下，对索-阻尼器系统的非线性瞬态振动响应进行了研究，从系统响应的角度更加直接地验证了阻尼器的控制效果。

But the researches on vibration characteristics of motor-driven elastic linkage systems have shown that the dynamic responses of linkage systems are nonlinear and multi-modality. They may bring some nonlinear vibration, such as superharmonic resonances, subharmonic resonances, multiple resonances, and combination resonances, under some circumstances.

然而，弹性连杆机构的非线性振动特性研究表明，机构的动态响应特性十分复杂，并且在一定条件下会产生超谐共振、亚谐共振、多重共振、组合共振等非线性振动行为，这些共振就会对以机构动态性能为目标的优化设计产生重要影响，而使优化设计工作常常只能得到一个局部最优值，甚至只是一个比初始设计略微好些的设计点。

The bifurcation and chaos behavior of impact and rubbing fault rotor system caused by the parameters of nonlinear rigidity, rotor rotating speed, eccentric mass is analyzed, in the numerical value analysis method. The bifurcation diagrams, maximum Lyapunov exponent diagrams, Poincaré maps, phase plane portraits, trajectories of journal center, time-history curve, amplitude spectra diagrams of the rotor motion are used. The convert and evolution course of periodical response, quasi-periodical response, double-periodical bifurcation, chaos of the system response is analyzed.(3). It is deduced that the general differential equation of bending-torsional-pendular coupling vibration about rotor with the gyroscopic moment. On the basis of this equation, the general differential equations of coupled bending, torsional and pendular nonlinear vibration about rotor with unbalance character and rubbing character are deduced.

2建立了具有非线性刚度的转子系统在非稳态非线性油膜力作用下的径向碰摩动力学微分方程，并应用含高阶余项的非线性动力方程的线性化数值法研究了此类系统响应的复杂动力学行为，利用转子响应的分岔图、最大Lyapunov指数曲线、Poincaré截面映射、时域波形、相轨线、轴心轨迹、幅值谱等图形分析了系统响应的周期运动、拟周期运动、倍周期分岔、混沌等运动形式的转化与演变过程，重点研究了非线性刚度、转子转速、偏心质量等系统参数对碰摩故障转子系统的分岔和混沌行为的影响。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。