文章基本信息

标题：ANALYSIS OF NONLINEAR VIBRATION OF COUPLED SYSTEMS WITH CUBIC NONLINEARITY
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作者：Bayat M. ; Pakar I. ; Shahidi M. 等
期刊名称：Mechanika
印刷版ISSN：1392-1207
出版年度：2012
卷号：17
期号：6
页码：620-629
DOI：10.5755/j01.mech.17.6.1005
语种：English
出版社：Kauno Technologijos Universitetas
摘要：In the past few decades the motion of multidegreeof freedom (multi-DOF) oscillation systems has beenwidely considered. Moochhala and Raynor [1] proposed anapproximate method for the motions of unequal massesconnected by (n+1) nonlinear springs and anchored to rigidend walls. Huang [2] studied on the Harmonic oscillationsof nonlinear two-degree-of-freedom systems. Gilchrist [3]analyzed the free oscillations of conservative quasilinearsystems with two degrees of freedom. Efstathiades [4] de-veloped the work on the existence and characteristic be-haviour of combination tones in nonlinear systems withtwo degrees of freedom. Alexander and Richard [5] con-sidered the resonant dynamics of a two-degree-of-freedomsystem composed of a linear oscillator weakly coupled to astrongly nonlinear one, with an essential (nonlinearizable)cubic stiffness nonlinearity. Chen [6] used generalizedGalerkin's method to nonlinear oscillations of two-degree-of-freedom systems. Ladygina and Manevich [7] investi-gated the free oscillations of a conservative system withtwo degrees of freedom having cubic nonlinearities (ofsymmetric nature) and close natural frequencies by usingmultiscale method. Cveticanin [8, 9] used a combination ofa Jacobi elliptic function and a trigonometric function toobtain an analytical solution for the motion of a two-masssystem with two degrees of freedom in which the masseswere connected with three springs.