Nonlinear vibrations of a hinged beam including nonlinear inertia effects

Research output: Contribution to journalArticlepeer-review

32 Scopus citations


This investigation treats the large amplitude transverse vibration of a hinged beam with no axial restraints and which has arbitrary initial conditions of motion. Nonlinear elasticity terms arising from moderately large curvatures, and nonlinear inertia terms arising from longitudinal and rotary inertia of the beam are included in the nonlinear equation of motion. Using a Galerkin variational method and a modal expansion, the problem is reduced to a system of coupled nonlinear ordinary differential equations which are solved for arbitrary initial conditions, using the perturbation procedure of multiple-time scales. The general response and frequency-amplitude relations are derived theoretically. Comparison with previously published results is made.

Original languageEnglish
Pages (from-to)121-126
Number of pages6
JournalJournal of Applied Mechanics, Transactions ASME
Issue number1
StatePublished - Mar 1973


Dive into the research topics of 'Nonlinear vibrations of a hinged beam including nonlinear inertia effects'. Together they form a unique fingerprint.

Cite this