caa a22 4500 445360259 CHVBK 20180317142913.0 cr unu---uuuuu 170323e20110501xx s 000 0 eng 10.1007/s11071-010-9861-9 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9861-9 Study of oscillators with a non-negative real-power restoring force and quadratic damping [Elektronische Daten] [Ivana Kovacic, Zvonko Rakaric] Oscillators with a non-negative real-power restoring force and quadratic damping are considered in this paper. The equation of motion is transformed into a linear first-order differential equation for the kinetic energy. The expressions for the energy-displacement function are derived as well as the closed form exact solutions for the relationship between subsequent amplitudes. They are expressed in terms of incomplete Gamma functions. On the basis of these results, expressions for the phase trajectories and the loci of maximal velocities are obtained. It is also demonstrated that the time difference between two consecutive relative maxima and minima of the displacement can both increase and decrease with time. Springer Science+Business Media B.V., 2010 Non-negative real-power restoring force nationallicence Quadratic damping nationallicence Energy-displacement function nationallicence Amplitudes nationallicence Phase trajectories nationallicence Incomplete Gamma functions nationallicence Kovacic Ivana Department of Mechanics, Faculty of Technical Sciences, University of Novi Sad, 21215, Novi Sad, Serbia aut Rakaric Zvonko Department of Mechanics, Faculty of Technical Sciences, University of Novi Sad, 21215, Novi Sad, Serbia aut Nonlinear Dynamics Springer Netherlands 64/3(2011-05-01), 293-304 0924-090X 64:3<293 2011 64 11071 https://doi.org/10.1007/s11071-010-9861-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9861-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kovacic Ivana Department of Mechanics, Faculty of Technical Sciences, University of Novi Sad, 21215, Novi Sad, Serbia aut NATIONALLICENCE 700 1- Rakaric Zvonko Department of Mechanics, Faculty of Technical Sciences, University of Novi Sad, 21215, Novi Sad, Serbia aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 64/3(2011-05-01), 293-304 0924-090X 64:3<293 2011 64 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer