| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1703544 | Applied Mathematical Modelling | 2014 | 8 Pages |
Abstract
In this paper, we derive a new exact solution of the damped quadratic nonlinear oscillator (Helmholtz oscillator) based on the developed solution for the undamped case by the Jacobi elliptic functions. It is interesting to see that both of the damped Duffing oscillator and Helmholtz oscillator possess solutions that follow closely to the undamped case, and even the solution procedures are almost the same.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Jin-wen Zhu,