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Abstract
A modification of the extended Krylov–Bogoliubov–Mitropolskii method (by Popov et al.) has been presented to investigate damping effects of strongly nonlinear oscillators when the amplitude of oscillation is large. The modification is similar to the Lindstedt-Poincare method, which was early presented by Cheung et al. for handling un-damped large oscillations. The determination of solution is quite different from earlier all techniques and it is valid whether linear restring force is present or not. Moreover, the solution approaches toward modified Lindstedt-Poincare’s solution when damped force vanishes.
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