Large deflections and large-amplitude free vibrations of straight and curved beams

DOI10.1002/nme.1620170603zbMath0465.73101OpenAlexW2156209353MaRDI QIDQ3917668

Indra Raja Singh, J. N. Reddy

Publication date: 1981

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620170603

zbMATH Keywords

bendingtransverse shearnonlinearityfree vibrationrotary inertia effectslarge-deflectionconventional and mixed finite element methodsincremental and direct formulationsReissner-type variational statementthin elastic curved beamstotal potential energy expression

Mathematics Subject Classification ID

Newton-type methods (49M15) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (7)

Effect of nonlinear constitutive equation on vibrations of beams ⋮ A multi-step linearization technique for a class of boundary value problems in nonlinear mechanics ⋮ Curved mixed beam elements for the analysis of thin-walled free-form arches ⋮ On the homotopy analysis method for non linear vibration of beams ⋮ Nonlinear vibration of beams under nonideal boundary conditions ⋮ Isogeometric analysis of free-form Timoshenko curved beams including the nonlinear effects of large deformations ⋮ Nonlinear finite element solutions of thermoelastic deflection and stress responses of internally damaged curved panel structure

Cites Work

• The non-linear perturbation analysis of discrete structural systems
• The Effect of Rotatory Inertia and of Shear Deformation on the Frequency and Normal Mode Equations of Uniform Beams With Simple End Conditions
• Consistent matrix formulations for structural analysis using finite-element techniques.

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