利用V函数研究非线性系统解的稳定性     

Qin Rongcun  Feng Chunhua 《广西大学梧州分校学报》2007,(6)

该文用李雅普诺夫(Liapunov)的第二方法分析了一类三阶非线性微分系统x φ(x)f(x) g(x) h(x)=0(1)零解的稳定性。在常系数线性系统的李雅普诺夫函数的基础上,通过变换找到该系统的等价线性系统,采用线性类比的方法构造出合适的李雅普诺夫函数,从而得出了这个系统的零解是渐近稳定的一组充分条件。  相似文献   

含慢变量非线性系统边值问题奇摄动     

陈育森  黄蔚章 《福建师大福清分校学报》1996,(2):10-17

本研究含慢变量非线性系统边值问题：x′=f(t,x,y,ε)x(1,ε)= α（ε）εy″=F（t，x，y，y′，ε），y（1,ε）=b(ε),y(0,ε=c(ε)当F（t,x,y,y′，ε)关于y′的Jacabi矩阵Fy′的特征值具有非零实部时，应用对角化技巧证明了摄动解的存在性，并给出了解的零阶近似。  相似文献   

一类含参广义变分不等式组的灵敏性分析   总被引：1，自引：0，他引：1  

谭满益 《赣南师范学院学报》2001,(6):6-9

本文应用新的方法研究了一类含参广义变分不等式组解的灵敏性 ,得到了一些新的结果 .  相似文献   

Transient Responses of Flexible Non—uniform Spinning Shaft with Nonlinear and Asymmetric Supports     

ZHUHuai－liang 《上海大学学报(英文版)》2001,5(1):35-39

In this paper ,a hybrid approach was developed to investigate the transient responses of a multi-span non-uniform flexble spinning shaft with nonlinear and asymmetric supports.The non-uniform spinning shaft with variable parmeters was modeled as a Bernoulli-Euler beam column with sectional constant cross-section properties by the finite element method.The supporting stiffness behavior of the nonlinear supports was described as a piecewise-linear and asymmetric model.The equations of motion in the matrix form of a multi-span non-uniform spinning shaft with nonlinear and asymmetric supports were formulated using Hamilton‘s principle and the assumed mode method.As an example,a spinning rocket with many variable stiffness supports was numerically simulated by the direct integration method.The transient response and dynamic behavior of this rotate-dynamic system are analyzed.  相似文献   

NTM方法在非线性贝叶斯动态模型中的应用     

高汝召  边平勇  赵衍才 《周口师范学院学报》2007,24(5):37-39

将NTM方法应用于非线性贝叶斯动态模型，给出了它的递推公式以及随机变量的数字特征的计算，与蒙特卡洛方法相比提高了效率和精度.  相似文献   

非线性常差分方程守恒量的计算     

高敏 《闽江学院学报》2006,27(2):22-24

给出了计算非线性常差分方程守恒量的一种方法,利用此方法可计算出非线性振动方程差分格式的守恒量．  相似文献   

Random vibration analysis of switching apparatus based on Monte Carlo method     

ZHAI Guo-fu CHEN Yang-hua REN Wan-bin 《浙江大学学报(A卷英文版)》2007,8(3):422-425

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.  相似文献   

声波垂直入射在两种介质界面处的反射和透射   总被引：1，自引：0，他引：1  

赵水标 《临沂师范学院学报》2003,25(3):29-31

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．  相似文献   

形变映射方法和非线性WBK方程的研究     

何宝钢  张解放 《商丘师范学院学报》2004,20(2):14-19

拓展了形变映射方法，以非线性WBK水波方程为例，获得系统丰富的解析解，包括孤波解，周期波解，雅可比椭圆函数解和其他精确解．  相似文献   

用拉压不同模量理论计算支座移动引起的超静定结构内力     

姚文娟  叶志明 《上海大学学报(英文版)》2004,8(3)

For statically indeterminate structure, the internal force will be changed with the translation of the supports, because the internal force is related to the absolute value of the stiffness EI. When the tension is different with the compression modulus, EI is the function of internal force and is not constant any more that is different from classic mechanics. In the other words, it is a nonlinear problem to calculate the internal force. The expression for neutral axis of the statically indeterminate structure was derived in the paper. The iterative program for nonlinear internal force was compiled. One case study was presented to illustrate the difference between the results using the different modulus theory and the single modulus theory as in classical mechanics. Finally, some reasonable suggestions were made for the different modulus structures.  相似文献