Free vibrations of shear‐flexible and compressible arches by FEM

DOI10.1002/nme.249zbMath1065.74612OpenAlexW2102018277MaRDI QIDQ2761942

Jerzy Rakowski, Przemysław Litewka

Publication date: 2001

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.249

zbMATH Keywords

free vibrationsarch finite elementexact shape functionsshear and compressibility effects

Mathematics Subject Classification ID

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) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (4)

Free in-plane vibration of curved beam structures: A tutorial and the state of the art ⋮ Analysis of the spatial vibration of nonprismatic arches by means of recurrence relations for the coefficients of the Chebyshev series expansion of the solution ⋮ Free in-plane vibration analysis of a curved beam (arch) with arbitrary various concentrated elements ⋮ Differential quadrature procedure for in-plane vibration analysis of variable thickness circular arches traversed by a moving point load

Cites Work

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• Accuracy of some finite element models for arch problems
• Mixed finite element methods for the circular arch problem
• Development of a new curved beam element with shear effect
• CURVATURE-BASED BEAM ELEMENTS FOR THE ANALYSIS OF TIMOSHENKO AND SHEAR-DEFORMABLE CURVED BEAMS
• Consistent curved beam element
• Accuracy and locking-free property of the beam element approximation for arch problems
• Stiffness matrix of parabolic beam element
• Studies on performance of curved beam finite elements for analysis of thin arches
• A linear thick curved beam element
• An isoparametric quadratic thick curved beam element
• The mode‐decomposition, C° formulation of curved, two‐dimensional structural elements
• A critical analysis of quadratic beam finite elements
• On trigonometric basis functions for C1 curved beam finite elements
• The exact thick arch finite element
• Locking‐free curved beam element based on curvature
• General curved beam elements based on the assumed strain fields
• Reduced integration technique in general analysis of plates and shells

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