共查询到20条相似文献,搜索用时 156 毫秒
1.
非线性系统全局动态特性分析的PCM法及其在转子轴承系统中的应用 总被引:8,自引:3,他引:8
本文将Poincare映射的思想与胞映射法相结合,提出了可用于高维非线性动力系统全局稳定性分析的新型数值方法:PCM(Poincare-Cell-Mapping)法,和胞映射法相比,新方法在实用上具有明显的优点。为说明PCM法的有效性,本文应用此方法对平衡转子轴承非线性动力系统进行了全局稳定性分析,同时给出了一确定状态空间中存在的所有周期解及其吸引域。 相似文献
2.
碰摩转子系统的非光滑分析 总被引:25,自引:1,他引:24
通过建立转子系统碰摩的Poincare映射,将对非光滑碰摩系统的研究转化为对Poincare映射的分析,文中主要对转子碰摩当中一类特殊的运动形式-单点碰摩下的擦边现象者了详细研究。从序列的极限理论出发分析了该映射的周期不动点的稳定性及其吸引域,得到了转子系统在接近擦边运动时解随系统参数变化的分岔情形。 相似文献
3.
本文讨论了无力矩条件下带有质量偏心轴对称转子的非对称陀螺体的运动。利用动量变量列写动力学方程,并将系统化作受周期微扰作用下的Euler-Poinsot运动。应用Melnikov方法预测系统存在Smald马蹄意义下的混沌运动,此结论与Poincare截面的数值计算相符。从Poincare截面的相图也可明显看出转子对于双自旋卫星的姿态稳定作用。 相似文献
4.
树形多体系统非线性动力学的数值分析方法 总被引:4,自引:0,他引:4
研究了树形多体系统大线性动力学分析的数值方法,利用多体系统的正则方程及其线性化程,给出了多体系统Lyapunov指数和Poincare映射的计算方法,该算法具有较好的计算精度和通用性,既适用于说明该算法的有效性,并对该系统的动力学行为进行分析,最后用算例说明该算法的有效性,并对该系统的动力学特征(周期解、准周期解、分岔、混沌以及通往混沌的道路等)进行了分析。 相似文献
5.
准Lagrange陀螺的混沌运动 总被引:2,自引:0,他引:2
本文讨论质量接近轴对称分布的准Lagrange陀螺的写点运动,应用Melnlkov方法判断Smale马蹿映射,并应用Poincare截面的数值计算证实混沌运动存在。 相似文献
6.
分段线性系统动力学的非光滑分析 总被引:20,自引:4,他引:20
分析了分段线性系统的非光滑向量场对Poincare映射可微性的影响以及由此产生的复杂动力学行为.研究表明:当周期运动接近鞍结及其退化分叉或以很低速度穿过两线性区的切换面时,这类系统的动力学行为显著有别于具有光滑向量场的系统 相似文献
7.
非线性动力系统全局分析的变胞胞映射法与转子/轴承系统的全局稳定性 总被引:8,自引:2,他引:8
在Poincare映射及胞映理论的基础上,提出了一种非线性动力系统全局分析的新方法--变胞胞映射法,这种新方法改变了原胞映射法中胞在胞空间分布的不合理性及运算逻辑的不合理性,更适用于高维、大求解域非线性动力系统的求解。应用此方法,对具有非线性油膜力的Jeffcot转子轴承系统进行了全局分析,绘制了系统分岔后的全局吸引域图,解释了一些工程中常见的非线性现象。 相似文献
8.
不连续机械系统混沌运动的控制 总被引:3,自引:1,他引:3
首先指出:预紧弹性约束,干摩擦等不连续力学因素将导致系统Poincare映射在控制目标附近不可微,故OGY等控制策略无法胜任这类系统的混沌运动控制。为控制这类系统的混沌运动,提出了由实验数据区分所合Poincare映射以及分区进行极点配置形成控制策略。对具有预紧弹性约束的受迫振子的仿真实验表明,这种控制策略是成功的。 相似文献
9.
本文通过计算机仿真,观察和研究了铲支艰称正交铺设层合板的周期运动、混沌运动以及它们各自的吸引子,其系统动力响应的形式,用时间历程图、相位状态图和Poincare映射图来表示。结果表明,在受迫振动的对称正交铺设层合存在着混沌运动。 相似文献
10.
11.
APPLICATION OF WAVELET TRANSFORM TO BIFURCATION AND CHAOS STUDY 总被引:2,自引:0,他引:2
I.IntroductionThetypesofmotionforanonlinearvibrationsystemmaybeperiodic,quasiperiodicorchaotic.Foragivensetofparametersofthesystem,Poincarkmap,powerspectral,waveformandLyapunovexponentareusuallyutilizedtoseewhethertheresponseofthesystemischaoticornot,butitisdiftlculttodeterminepreciselytheexistingdomainsorattractingbasinsofdifferenttypesofmotionsinparametricspaceorinitialvaluespaceonlyfromgraphicsstudy,andcomputingLyapunovexponentistimeconsuming.Aswavelettransformcanreveallocalpropertyinboth… 相似文献
12.
The response of a nonlinear vibration system may be of three types, namely, periodic, quasiperiodic or chaotic, when the parameters
of the system are changed. The periodic motions can be identified by Poincare map, and harmonic wavelet transform (HWT) can
distinguish quasiperiod from chaos, so the existing domains of different types of motions of the system can be revealed in
the parametric space with the method of HWT joining with Poincar'e map.
Communicated Zhang Ruqing
Project supported by the National Natural Science Foundation of China 相似文献
13.
14.
Influence of boundary conditions relaxation on panel flutter with compressive in-plane loads 总被引:2,自引:1,他引:2
The influence of boundary conditions relaxation on two-dimensional panel flutter is studied in the presence of in-plane loading. The boundary value problem of the panel involves time-dependent boundary conditions that are converted into autonomous form using a special coordinate transformation. Galerkin's method is used to discretize the panel partial differential equation of motion into six nonlinear ordinary differential equations. The influence of boundary conditions relaxation on the panel modal frequencies and LCO amplitudes in the time and frequency domains is examined using the windowed short time Fourier transform and wavelet transform. The relaxation and system nonlinearity are found to have opposite effects on the time evolution of the panel frequency. Depending on the system damping and dynamic pressure, the panel frequency can increase or decrease with time as the boundary conditions approach the state of simple supports. Bifurcation diagrams are generated by taking the relaxation parameter, dynamic pressure, and in-plane load as control parameters. The corresponding largest Lyapunov exponent is also determined. They reveal complex dynamic characteristics of the panel, including regions of periodic, quasi-periodic, and chaotic motions. 相似文献
15.
《International Journal of Solids and Structures》2006,43(22-23):6998-7013
This study verifies chaotic motion of an automotive wiper system, which consists of two blades driven by a DC motor via the two connected four-bar linkages and then elucidates a system for chaotic control. A bifurcation diagram reveals complex nonlinear behaviors over a range of parameter values. Next, the largest Lyapunov exponent is estimated to identify periodic and chaotic motions. Finally, a method for controlling a chaotic automotive wiper system will be proposed. The method involves applying another external input, called a dither signal, to the system. Some simulation results are presented to demonstrate the feasibility of the proposed method. 相似文献
16.
17.
Hu Ding Liqun Chen 《Acta Mechanica Solida Sinica》2009,22(3):267-275
This paper investigates nonlinear dynamical behaviors in transverse motion of an axially accelerating viscoelastic beam via the differential quadrature method. The governing equation, a nonlinear partial-differential equation, is derived from the viscoelastic constitution relation using the material derivative. The differential quadrature scheme is developed to solve numerically the governing equation. Based on the numerical solutions, the nonlinear dynamical behaviors are identified by use of the Poincare map and the phase portrait. The bifurcation diagrams are presented in the case that the mean axial speed and the amplitude of the speed fluctuation are respectively varied while other parameters are fixed. The Lyapunov exponent and the initial value sensitivity of the different points of the beam, calculated from the time series based on the numerical solutions, are used to indicate periodic motions or chaotic motions occurring in the transverse motion of the axially accelerating viscoelastic beam. 相似文献
18.
A model of spring-block on a moving plate with a nonlinear periodic substrate potential whose shape can be varied continuously as a function of a shape parameter is investigated. The dynamical study of the system for different values of the shape parameter involves the analysis of phase space, the construction of bifurcation diagrams, and the computation of the largest Lyapunov exponent. A smart damper associated with drag coefficient is proposed to reduce stick-slip and chaotic motions. The domain of validity of the control method is derived. 相似文献
19.
20.
针对磁场环境中周期外载作用下轴向运动导电条形板的非线性振动及混沌运动问题进行研究。应用改进多尺度法对横向磁场中条形板的强非线性振动问题进行求解,得到超谐波共振下系统的分岔响应方程。根据奇异性理论对非线性动力学系统的普适开折进行分析,求得含两个开折参数的转迁集及对应区域的拓扑结构分岔图。通过数值算例,分别得到以磁感应强度、轴向拉力、激励力幅值和激励频率为分岔控制参数的分岔图和最大李雅普诺夫指数图,以及反映不同运动行为区域的动力学响应图形,讨论分岔参数对系统呈现的倍周期和混沌运动的影响。结果表明,可通过相应参数的改变实现对系统复杂动力学行为的控制。 相似文献