Application of a modified lindstedt-poincaré method in coupled TDOF systems with quadratic nonlinearity and a constant external excitation

Archive of Applied Mechanics

Volumn 79, Issue 5, 2009, Pages 411-431

  Lim, C W ^a   Lai, S K ^a   Wu, B S ^b   Sun, W P ^b   Yang, Y ^a   Wang, C ^c  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b JILIN UNIVERSITY   (China)

^c HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Modified Lindstedt Poincar (L P) method; Nonlinear oscillation; Quadratic nonlinear oscillator; Two degree of freedom; Two mass system

Indexed keywords

ANALYTICAL APPROACHES; ANALYTICAL APPROXIMATIONS; ANALYTICAL EXPRESSIONS; APPROXIMATE SOLUTIONS; EXACT SOLUTIONS; EXTERNAL EXCITATIONS; EXTERNAL FORCES; FIRST ORDERS; FOURTH ORDERS; HARMONIC BALANCE METHODS; JACOBI ELLIPTIC FUNCTIONS; LARGE AMPLITUDES; MASS-SPRING SYSTEMS; NEW APPROACHES; NON-LINEAR DIFFERENTIAL EQUATIONS; NON-LINEAR STIFFNESS; NONLINEAR OSCILLATION; NONLINEAR OSCILLATION SYSTEMS; NUMERICAL INTEGRATIONS; PERTURBATION METHODS; QUADRATIC NONLINEAR OSCILLATOR; QUADRATIC NONLINEARITIES; RUNGE-KUTTA; SECOND ORDERS; SECOND-ORDER DIFFERENTIAL EQUATIONS; TWO-DEGREE-OF-FREEDOM; TWO-MASS SYSTEM;

CONTROL NONLINEARITIES; DIFFERENTIAL EQUATIONS; NUMERICAL METHODS; OSCILLATORS (MECHANICAL); PERTURBATION TECHNIQUES; RUNGE KUTTA METHODS;

NONLINEAR EQUATIONS;

EID: 67349211193     PISSN: 09391533     EISSN: 14320681     Source Type: Journal    
DOI: 10.1007/s00419-008-0234-5     Document Type: Article

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