A Trigonometric Recurrence Algorithm for Solving Nonlinear Problems in Structural Dynamics

DOI10.1177/1077546306063505zbMath1182.74062OpenAlexW2040475504MaRDI QIDQ5188389

Carlos P. Filipich, Marta B. Rosales

Publication date: 10 March 2010

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546306063505

zbMATH Keywords

nonlinear boundary conditionspartial differential equationsnonlinear vibrationstrigonometric recurrence

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Cites Work

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• The Vibration Response of a Linear Undamped System Resting on a Nonlinear Spring
• Response of a bar constrained by a non-linear spring to a harmonic excitation
• On nonlinear free vibrations of simply supported uniform beams
• Beams and Arcs: Exact Values of Frequencies Via a Generalized Solution
• Free Vibration And Stability Behaviour Of Uniform Beams And Columns With Non-linear Elastic End Rotational Restraints
• NATURAL VIBRATION OF RECTANGULAR PLATES CONSIDERED AS TRIDIMENSIONAL SOLIDS
• Uniform convergence series to solve nonlinear partial differential equations: Application to beam dynamics

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