一个含三次多项式的非线性偏微分方程的孤立波

用动力系统分支方法研究了含三次多项式的非线性方程un -c20 uxx u3 αu2 βu-γ=0 .给出了参数空间的划分 ,在各种参数条件下得到了孤立波的个数 .     

电机转子参数振动的稳定性分析

在工程中 ,两极电机转子等具有矩形截面的轴 ,由于不同方向上的弯曲刚度不同而引起振动 ,即使激振频率远离系统自然频率 ,也可能产生较大响应而造成破坏 ,这就是参数激励共振。所以 ,研究参数激励系统的稳定性及其稳定区域 (范围 )是很重要的。本文以非对称刚度转子和实际电机转子截面轴转动时的弯曲振动为例 ,用Floquet理论研究其振动稳定范围     

MIMO离散非线性系统的自适应Backstepping控制

研究MIMO离散非线性系统的自适应Backstepping控制,对包含两个三阶子系统的MIMO系统推出稳定的自适应控制器设计,并利用关键性引理和投影算法的性质证明了闭环系统的所有信号有界和保证跟踪性能.     

伴有边界摄动的三阶非线性系统Robin边值问题的奇摄动

本文研究伴有边界摄动的三阶非线性系统Robin问题的奇摄动。在适当的假定下，利用不动点定理，得到摄动问题解的存在性，并给出解的任意阶一致有效渐近展开式。     

轴瓦自激振动的诊断及几点消除措施

该文分析了轴瓦自激振动的原因，并提出了怎样对该故障现象进行诊断及一些消除措施。     

弹簧振子计及弹簧质量的误差分析

采用弹簧振子的振动在弹簧内形成波的观点,由波的理论出发,得出计及弹簧质量后弹簧振子的振动角频率ω的计算式中质量修正项为(M+0.346m),并对其引起的误差进行了分析。     

具变系数的二阶中立型微分方程解的振动性

本文研究具有变系数的二阶非线性中立型方程和线性中立型方程建立了方程(1)和(16)的所有有界解振动的充分条件,其条件是“sharp"的,也给出了方程(1)的线性化极限振动准则。所得结果推广了文《二阶非线性中立型微分方程解的振动准则》(钱祥征等,湖南教学年刊Vol.10No.1—2,(1990),101—108)中的结论。     

Random vibration analysis of switching apparatus based on Monte Carlo method

The performance in vibration environment of switching apparatus containing mechanical contact is an important element when judging the apparatus’s reliability. A piecewise linear two-degrees-of-freedom mathematical model considering contact loss was built in this work, and the vibration performance of the model under random external Gaussian white noise excitation was investigated by using Monte Carlo simulation in Matlab/Simulink. Simulation showed that the spectral content and statistical characters of the contact force coincided strongly with reality. The random vibration character of the contact system was solved using time (numerical) domain simulation in this paper. Conclusions reached here are of great importance for reliability design of switching apparatus.     

声波垂直入射在两种介质界面处的反射和透射

通过对入射波、反射波和透射波振幅和声压的定量比较，得到了声波垂直入射在分界面处位移和声压的反射系数和透射系数，并对各种情况下的反射波和透射波进行了分析讨论．     

An adaptive strategy for controlling chaotic system

This paper presents an adaptive strategy for controlling chaotic systems. By employing the phase space reconstruction technique in nonlinear dynamical systems theory, the proposed strategy transforms the nonlinear system into canonical form, and employs a nonlinear observer to estimate the uncertainties and disturbances of the nonlinear system, and then establishes a state-error-like feedback law. The developed control scheme allows chaos control in spite of modeling errors and parametric variations. The effectiveness of the proposed approach has been demonstrated through its applications to two well-known chaotic systems: Duffing oscillator and Rössler chaos.