Nonlinear vibration of beams under nonideal boundary conditions

DOI10.1007/s00707-010-0423-5zbMath1398.74139OpenAlexW2081402187MaRDI QIDQ546240

Yong-Cai Geng, Sumit K. Garg

Publication date: 24 June 2011

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-010-0423-5

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (3)

Nonlinear vibrations of a beam with non-ideal boundary conditions and subjected to two correlated or uncorrelated broadband random excitations -- experiments, modeling and simulations ⋮ An efficient approach for predicting the nonlinear vibrations of a beam system subjected to multipoint correlated random excitation ⋮ Effect of elastic restraints in the modeling of prestressed piezoelectric energy harvesters

Cites Work

• A novel harmonic balance analysis for the van der Pol oscillator
• Vibrations of stretched damped beams under non-ideal boundary conditions
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• Nonlinear oscillator with discontinuity by generalized harmonic balance method
• Generating the periodic solutions for forcing van der Pol oscillators by the iteration perturbation method
• On the homotopy analysis method for non linear vibration of beams
• Application of the homotopy method for the analytic approach of the nonlinear free vibration analysis of the simple end beams using four engineering theories
• Homotopy perturbation technique
• Limit cycle and bifurcation of nonlinear problems
• Application of homotopy perturbation method to nonlinear wave equations
• Non-linear vibrations of a simple–simple beam with a non-ideal support in between
• The variational iteration method for nonlinear oscillators with discontinuities
• Large deflections and large-amplitude free vibrations of straight and curved beams
• On nonlinear free vibrations of simply supported uniform beams
• Beyond Perturbation
• Nonlinear vibrations of beams with various boundary conditions.

This page was built for publication: Nonlinear vibration of beams under nonideal boundary conditions