International Journal of Advanced Engineering Applications (IJAEA)
Damped pendulum is the most popular example in mechanics and vibration problems. This paper presents a new method in order to find a simple analytical approximate solution for nonlinear damped pendulum, by using hybrid neural networks and particle swarm optimization algorithm. The obtained analytic solution has a simple shape, and it is very powerful to approximate the solution. The results of the approximate solution are compared with numerical solution and the linear solution, using tables and graphs.