Publications de l'Institut Mathématique, Nouvelle Série Vol. 85(99), pp. 119–130 (2009) 

OSCILLATOR WITH STRONG QUADRATIC DAMPING FORCELivija CveticaninDepartment of Mechanics, Faculty of Technical Sciences, University of Novi Sad, Novi Sad, SerbiaAbstract: Oscillations of a system with strong quadratic damping are considered. For the exact analytical form of the energydisplacement function the explicit form of the maximal amplitudes of vibration are obtained by introducing the Lambertw function. Comparing the neighbor maximal amplitudes and the corresponding energies the conclusions about the energy dissipation is given. The approximate solution for a strong nonlinear differential equation which describes the motion of the oscillator with quadratic damping is calculated applying the ellipticharmonicbalance method. The accuracy of the solution is affirmed by comparing the maximal displacements obtained using the approximate method with the exact one obtained by energy method. Classification (MSC2000): 34C15 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 23 Apr 2009. This page was last modified: 22 Oct 2009.
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