Very recently, Yildirim et al. [1] applied the so-called Hamiltonian approach (HA) to obtain analytical approximate solutions for three well-known nonlinear oscillators. The authors mentioned thatâ€¦ (More)

This paper applies the Hamiltonian approach a nonlinear oscillator of a rigid rod on a circular surface without slipping, and its natural frequency is obtained. Comparison of the obtained result withâ€¦ (More)

In this work, the Hamiltonian approach is applied to obtain the natural frequency of the Duffing oscillator, the nonlinear oscillator with discontinuity and the quintic nonlinear oscillator. Theâ€¦ (More)

In this paper, He's Frequency-Amplitude Formulation (HFAF) and He's Energy Balance Method (HEBM) are employed to solve the generalized Duffing equation in the form of over (x, Ìˆ) + x + Î±3 x3 + Î±5 x5â€¦ (More)

Nonlinear forced vibration of a free-form nanotube conveying fluid is investigated. The geometric form of the nanotube in the proposed model is considered by employing a Non-Uniform Rational B-Splineâ€¦ (More)