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

DOI10.1007/s00419-008-0234-5zbMath1168.70302OpenAlexW2046883460MaRDI QIDQ835422

N. E. Zubov

Publication date: 28 August 2009

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00419-008-0234-5

zbMATH Keywords

nonlinear oscillationtwo-mass systemmodified Lindstedt-Poincaré (L-P) methodquadratic nonlinear oscillatortwo-degree-of-freedom

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Computational methods for problems pertaining to mechanics of particles and systems (70-08)

Related Items (3)

FEED FORWARD RESIDUE HARMONIC BALANCE METHOD FOR A QUADRATIC NONLINEAR OSCILLATOR ⋮ Application of a generalized senator-bapat perturbation technique to nonlinear dynamical systems with an irrational restoring force ⋮ Optimal parametric iteration method for solving multispecies Lotka-Volterra equations

Cites Work

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• An iteration approach to nonlinear oscillations of conservative single-degree-of-freedom systems
• Large amplitude non-linear oscillations of a general conservative system
• Non-linear dynamics of a system of coupled oscillators with essential stiffness non-linearities
• An elliptic Lindstedt-Poincaré method for certain strongly nonlinear oscillators
• Presenting a new method for the solution of nonlinear problems
• Summation of perturbation solutions to nonlinear oscillations
• A perturbation-incremental method for strongly nonlinear oscillators
• Applications of a generalized Galerkin's method to non-linear oscillations of two-degree-of-freedom systems
• A classical perturbation technique which is valid for large parameters
• A POWER-SERIES SOLUTION FOR A STRONGLY NON-LINEAR TWO-DEGREE-OF-FREEDOM SYSTEM
• NORMAL MODE LOCALIZATION FOR A TWO DEGREES-OF-FREEDOM SYSTEM WITH QUADRATIC AND CUBIC NON-LINEARITIES
• Improved Lindstedt–Poincaré method for the solution of nonlinear problems
• A MODIFIED LINDSTEDT–POINCARE METHOD FOR A STRONGLY NON-LINEAR TWO DEGREE-OF-FREEDOM SYSTEM
• A POWER SERIES APPROACH FOR THE STUDY OF PERIODIC MOTION
• A New Approach to Nonlinear Oscillations
• Combination tones in single mode motion of a class of non-linear systems with two degrees of freedom
• A Perturbation Technique that Works Even When the Non-Linearity is Not Small
• On a Class of Two-Degree-of-Freedom Oscillations

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