Free in-plane vibration analysis of a curved beam (arch) with arbitrary various concentrated elements

DOI10.1016/j.apm.2013.02.029zbMath1426.74309OpenAlexW2001443684MaRDI QIDQ1789452

Yanyan Li

Publication date: 10 October 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2013.02.029

zbMATH Keywords

exact solutionfrequency equationcomplex numberreal numberconcentrated elementscurved beam (arch)

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (6)

Free in-plane vibration of curved beam structures: A tutorial and the state of the art ⋮ Out-of-plane vibration of curved uniform and tapered beams with additional mass ⋮ Modeling and parametric analysis of arch bridge with transfer matrix method ⋮ Free in-plane vibration analysis of curved beams by the generalized/extended finite element method ⋮ Differential quadrature procedure for in-plane vibration analysis of variable thickness circular arches traversed by a moving point load ⋮ Semi-analytical modeling and vibration analysis for U-shaped, Z-shaped and regular spatial pipelines supported by multiple clamps

Cites Work

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• Free vibrations of shear‐flexible and compressible arches by FEM
• A finite element for the three-dimensional deformation of a circular ring
• Curved beam element stiffness matrix formulation
• The exact thick arch finite element
• Free vibration analysis of arches using curved beam elements
• Free vibration of a curved beam
• Constant curvature beam finite elements for in-plane vibration

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