多自由度非线性振动系统的内共振

本文研究多自由度非线性自治系统的周期解问题,我们推广了KBM法,本方法可以求得极限环的相图,振幅,周期及其稳定性.     

ON INTERNAL RESONANCE OF NONLINEAR VIBRATING SYSTEMS WITH MANY DEGREES OF FREEDOM

The problem of periodic solutions of nonlinear autonomous systems with many degrees of freedom is considered. This is made possible by the development ora modified version of the KBM method. The method can be used to generate limit cycle phase portrait, amplitude, period and to indicate stability of the limit cycle.     

加强板的弯矩函数列式

本文首先谇薄板弯曲问题矩函数的物理意义,据此,将弯矩函数列式推广到具有加强条的薄板弯曲问题,给出了与平面弹性问题完全对应的余能原理。