caa a22 4500 445360275 CHVBK 20180317142913.0 cr unu---uuuuu 170323e20110501xx s 000 0 eng 10.1007/s11071-010-9841-0 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9841-0 Stability and response of a nonlinear coupled pitch-roll ship model under parametric and harmonic excitations [Elektronische Daten] [M. Sayed, Y. Hamed] The present study deals with the response of a two-degree-of-freedom (2DOF) system with quadratic coupling under parametric and harmonic excitations. The method of multiple scale perturbation technique is applied to solve the nonlinear differential equations and obtain approximate solutions up to and including the second order approximations. All resonance cases are extracted and investigated. Stability of the system is studied using frequency response equations and phase-plane method. Numerical solutions are carried out and the results are presented graphically and discussed. The effects of the different parameters on both response and stability of the system are investigated. The reported results are compared to the available published work. Springer Science+Business Media B.V., 2010 Pitch-roll ship nationallicence Vibrations nationallicence Response nationallicence Stability of motion nationallicence Saturation nationallicence Sayed M. Department of Engineering Mathematics, Faculty of Electronic Engineering, 32952, Menouf, Egypt aut Hamed Y. Department of Engineering Mathematics, Faculty of Electronic Engineering, 32952, Menouf, Egypt aut Nonlinear Dynamics Springer Netherlands 64/3(2011-05-01), 207-220 0924-090X 64:3<207 2011 64 11071 https://doi.org/10.1007/s11071-010-9841-0 text/html Onlinezugriff via DOI 1 review-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9841-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Sayed M. Department of Engineering Mathematics, Faculty of Electronic Engineering, 32952, Menouf, Egypt aut NATIONALLICENCE 700 1- Hamed Y. Department of Engineering Mathematics, Faculty of Electronic Engineering, 32952, Menouf, Egypt aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 64/3(2011-05-01), 207-220 0924-090X 64:3<207 2011 64 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer