A NEW DYNAMIC SOLUTION OF SPRING PENDULUM BASED ON TIME FINITE ELEMENT METHOD

The problem of spring pendulum is a kind of rigid flexible coupling nonlinear dynamic problem. With the development of power technology, spring pendulum has been widely used in high-voltage tower damping, but its dynamic simulation still has many imperfections. It presents a new method to solve the problem of spring pendulum by using time finite element method and symplectic recursive algorithm. In this method, the nonlinear swing problem of spring pendulum is treated by approximate integration, and the Symplectic recursive form is obtained by using rectangular and trapezoidal integral methods. It also improves the numerical stability of the long-term solution. In order to reflect the speed and stability advantages of the method proposed in solving an internal resonance system, two comparisons with existing results are carried out. The results show that the algorithm proposed has some advantages in computational speed, in time stability and in accuracy compared with the traditional algorithm. Finally, the approach to solve the chaotic problem with a large swing angle is discussed.