Free vibration analysis of non-uniform thin curved arches and rings using Adomian modified decomposition method

DOI10.1007/s13369-012-0228-zzbMath1296.74144OpenAlexW2158165526MaRDI QIDQ458436

Vista Shahriari, Morteza Tavanaie Marvi, Reza Attarnejad, Ahmad Shahba

Publication date: 7 October 2014

Published in: Arabian Journal for Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13369-012-0228-z

zbMATH Keywords

natural frequencyfree vibrationAdomian modified decomposition methodnon-prismatic arch

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (4)

Analysis of tapered thin plates using basic displacement functions ⋮ An analytical approach to vibration analysis of beams with variable properties ⋮ Free vibration of tapered Mindlin plates using basic displacement functions ⋮ 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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• Stiffness matrix of parabolic beam element
• Curved beam element stiffness matrix formulation
• Vibration and buckling analysis of circular arches using DQM
• The exact thick arch finite element
• Free Vibrations Of Circular Arches: A Review
• Vibration analysis of shear deformable circular arches by the differential quadrature method
• In-plane vibration analyses of circular arches by the generalized differential quadrature rule.

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