‎a numerical technique based on the collocation method using legendre multiwavelets are‎‎presented for the solution of forced duffing equation‎. ‎the operational matrix of integration for‎‎legendre multiwavelets is presented and is utilized to reduce the solution of duffing equation‎‎to the solution of linear algebraic equations‎. ‎illustrative examples are included to demonstrate‎‎the validity...

The bidimensional Duffing oscillator (2DHD) is a parametric Hamiltonian system, integrable by elliptic functions, which includes as particular cases the isotropic oscillator and the classic Hamiltonian Duffing model. The Stark effect, after the KS transformation is used and the parameters are properly chosen, may be studied as a couple of 2DHD. A particular case of 2DHD system has been consider...

This paper presents an analytical solution of the cross-sectional flattening-induced nonlinear vibration elastic tubes when subjected to transverse harmonic excitation. It is shown that equation motion describing beam-type can be characterized by Duffing with cubic nonlinearity, in which term reflects influence flattening on tubes. The degree nonlinearity found governed directly dimensionless a...