Cveticanin L.  

Oscillators with elastic force of noninteger order

In this paper the second order ordinary differential equation with terms of noninteger order, which describe the periodical motion of the oscillator, is considered. New approximate analytical solving procedure is developed for solving such strong nonlinear differential equation. The method is based on the approximate solution of the pure nonlinear oscillator for which the exact period of vibration is known. The time variable amplitude and phase are introduced. The suggested technique is applied on a few examples which represent real mechanical systems.

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