A New Method for Solving Nonlinear Vibration Problem

Xu Mingtian, Cheng Delin £¨Shandong University of Technology£©
Hu Haiyan£¨Nanjing University of Aeronautics and Astronautics)

Abstract: In the present paper, the differential equation of the nonlinear vibration problem is first transformed into the nonlinear integral and differential equation. Then the solving problem of the equation is changed to a nonlinear algebraic equations with infinite unknown numbers. Theoretically, the periodic solution with every accuracy can be obtained. The Duffing system is also discussed by using the method in this paper.
Keywords: nonlinear vibration, periodic solution, duffing system.