Vibration of Pre-Loaded Shallow Circular Arches

DOI10.1007/978-3-030-34713-0_24zbMath1490.74039OpenAlexW3003568519MaRDI QIDQ5013671

Ugurcan Eroglu, Giuseppe Claudio Ruta

Publication date: 2 December 2021

Published in: Nonlinear Dynamics of Structures, Systems and Devices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-34713-0_24

zbMATH Keywords

bifurcationperturbation methodnatural frequencyshallow archpost-buckling regime

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Cites Work

• Free in-plane vibrations of highly buckled beams carrying a lumped mass
• Small-amplitude free vibrations of straight beams subjected to large displacements and rotation
• Nonlinear Structural Mechanics
• Nonlinear problems of elasticity

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