论文部分内容阅读
研究由中心刚体和柔性伸展附件组成的非线性刚柔耦合系统，假设附件为有限变形梁，但本构方程是线性的。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。
The nonlinear rigid-flexible coupling system consisting of a rigid body and a flexible extension attachment is studied. Supposing the attachment is a finitely-deformable beam, the constitutive equation is linear. According to the stability theorem of some variables, it is proved that the transverse nonlinear vibration of the beam during constant velocity expansion or contraction is stable when the center rigid body has no control moment and the accessory driving force is zero.