转动梁纵横弹性运动的非线性解法

NONLINEAR SOLUTION TO THE LONGITUDINAL AND TRANSVERSAL ELASTIC MOTION OF ROTATING BEAM

本文论及转动梁纵横弹性运动的解法。首先 ,对非线性运动方程进行线性化的解法进行了讨论。接着 ,引入了动力刚化。关于动力刚化问题的研究引起国外学者的广泛兴趣 ,并发表了大量论文。最后 ,与上述各种方法不同 ,本文提出了采用非线性方法对上述方程求解 ,并得出相应的结果。

The solution to the equation of longitudinal and transversal elastic motion of a rotating beam is concerned. The solution by linearization method is discussed. The dynamic stiffening is introduced, which many researchers are interested in with a lot of papers published. Different from the various methods mentioned above, the nonlinear method for solving the above equation is presented and the corresponding results are obtained.