A finite element method for nonlinear forced vibrations of beamsTechniques for defining a finite element model (FEM) for analysis of nonlinear vibrations in beam structures subjected to harmonic excitation are presented. The resulting model covers longitudinal deformation and inertial effects. The nonlinear oscillations of a beam element under forced excitation are modeled by a harmonic force matrix based on first order approximations of the Jacobian elliptic forcing function. Harmonic force and nonlinear stiffness matrices are derived and the nonlinear forced responses of beams are calculated under various boundary conditions. The results of FEM computations for simply-supported and clamped beams show that midplane stretching caused by large deflections increases the nonlinearity. Axially-restrained beams experience only hardening nonlinearity, while axially-free beams have reduced nonlinearity in deformation and inertia and an increase in linearity due to large deflection.
Document ID
19850030298
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Mei, C. (Old Dominion Univ. Norfolk, VA, United States)
Decha-Umphai, K. (Old Dominion University Norfolk, VA, United States)
Date Acquired
August 12, 2013
Publication Date
January 1, 1984
Subject Category
Structural Mechanics
Meeting Information
Meeting: International Conference on Recent Advances in Structural Dynamics