Abstract
In this paper, He's variational approach is extended to investigate coupled nonlinear multi-degree-offreedom (mdof) oscillatory systems. A mass-spring system with nonlinear stiffness is considered as an example and approximate amplitude-frequency relations for 2-DOF and 3-DOF nonlinear systems are obtained.
Original language | English |
---|---|
Pages (from-to) | 859-865 |
Number of pages | 7 |
Journal | International Journal of Nonlinear Sciences and Numerical Simulation |
Volume | 11 |
Issue number | 10 |
DOIs | |
Publication status | Published - Oct 2010 |
Keywords
- Mass-spring system
- Multi-degree-of-freedom
- Multiple coupled nonlinear oscillators
- Variational approach