Approximate Solution of Fourth Order Near Critically Damped Nonlinear Systems with Special Conditions

摘要

A perturbation technique has been developed based on the Krylov-Bogoliubov-Mitropolskii (KBM) method to investigate the solution of fourth order near critically damped nonlinear systems in the case of λ1→λ2, λ4 ≈ λ3 + 2λ1 but λ4<2λ3 among the eigenvalues λ1, λ2, λ3, λ4. The solutions obtained by this technique were compared with those obtained by numerical method. The method has been explained by an example. DOI: http://dx.doi.org/10.3329/jbas.v36i2.12962 Journal of Bangladesh Academy of Sciences, Vol. 36, No. 2, 187-197, 2012