The Research of the Conservative Double Pendulum by using Mathematica

According to Lagrange method, a conservative double pendulum mathematical model was conceived.The solution of the generalized coordinates of the conservative double system was respectively obtained, where it was in high energy or low energy by using mathematical. Then, a method was come up with to demonstrate the reliability of the solution. After that, an interactive full parameter hybrid control was fabricated. By using the control disturbed the initial value, a critical value at which the motion of the quasi periodic motion transformed into a chaotic motion was obtained where the conservative double pendulum system was in high energy. The simulation results provide some new schemes for the contents of chaos of the double mechanism and the modern multibody dynamics.