非线性振动

The numerical examples of linear and nonlinear vibration demonstrate that barycentric Lagrange interpolation collocation method have advantages of simple formulations, easier to program and higher computational accuracy.

线性和非线性振动问题的数值算例表明，重心Lagrange插值配点法具有公式简单、数值实施方便和计算精度高的优点。

An analysis on the nonlinear stability of single freedom degree system in belleville springs is carried out qualitatively.

建立了碟形弹簧的单自由度保守系统的非线性振动控制方程，通过对其奇点性质的分析，研究了该系统的稳定性。

This project mainly dealt with the existence and multiplicity of periodic solutions and the boundedness of solutions of nonlinear oscillations.

本项目主要研究非线性振动中周期解的存在性、多解性及解的有界性、无界性。

By taking the energy integral as Lyapunov function,it is proved that nonlinear transverse vibrations of the beam undergoing uniform extension or retrieval are stable when there are not controlling moment in the central rigid body and driving force on the beam,according to the partial stable theorem.

利用能量积分构造Lyapunov函数，根据部分变量稳定性定理，证明了当中心刚体无控制力矩，附件驱动力为零时，梁在等速伸展或收缩时的横向非线性振动是稳定的。

By taking the energy integral as Lyapunov function, it is proved that nonlinear transverse vibrations of the beam undergoing uniform extension or retrieval are stable when there are not controlling moment in the central rigid body and driving force on the beam, according to the partial stable theorem.

利用能量积分构造Lyapunov函数，根据部分变量稳定性定理，证明等速伸展或收缩梁的横向非线性振动稳定。

Based on nonlinear vibration theory, the 8 DOF nonlinear tank suspension model is established.

基于非线性振动理论，建立了8自由度的坦克悬挂系统的非线性模型。

Secondly,for nonlinear vibratory systems,the relationship between a class of stationary geodesics of the Riemannian manifold and the nonlinear normal modes is found.

进而，将类似的对应关系推广应用到非线性振动系统中，得到了非线性模态与 Riemann 流形上的极值测地线之间的对应关系。

Based on the nonlinear dynamical model of the rotor-bearing system with rub-impact fault, the stability of the periodic motion of the system in unbalance-rotating speed plane and rotor/stator clearance- rotating speed plane were studied by the continuation-shooting algorithm. The system periodic motion and its stability were obtained. An experimental setup was developed to investigate nonlinear vibration characteristics of such rotor bearing system.

根据碰摩转子轴承系统的非线性动力学模型，利用延拓打靶算法，在碰摩转子轴承系统不平衡量-转速和碰摩间隙-转速参数域内，研究系统的周期运动及其分岔失稳等动力学行为，得到了系统周期运动的稳定性及失稳规律；建立了研究转子轴承系统碰摩故障的实验装置，通过实验，研究了转子系统碰摩故障的非线性振动的特征。

Secondly, the nonlinear vibration of a mono-degree of freedom rotor supported by the AMBs is investigated also. With the altering of the PID controllers parameters, the typical nonlinear phenomena such as softening/hardening spring characteristic, jumps and separation of the resonance curve can be observed and analyzed.

其次，对PID控制的单自由度电磁轴承—转子系统由于力—电流／位移的非线性特性引起的非线性振动进行了分析研究，当控制器参数改变时，系统表现出软／硬弹簧特性，分析了主共振区的跳跃谐振及谐振曲线的分离现象。

In this paper, a new homotopy technique based on the parameter expansion is proposed to study strongly nonlinear oscillation .

提出了一种基于参数展开的新的同伦分折技术：结合参数展开技术和同伦理论将一非线性动力系统(不要求系统内含有小参数)的求解问题转化为组线性微分方程的求解问题，并将之运用到强非线性振动领域。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。