Linear and nonlinear vibration of axially loaded Timoshenko beam with elastic supports: effects of transition parameter

DOI10.1142/S0219455424500676MaRDI QIDQ6490157

Yinghui Li, Jian Li, Zewei Li, Yongqing Yang, Mingzhi Xie

Publication date: 23 April 2024

Published in: International Journal of Structural Stability and Dynamics (Search for Journal in Brave)

zbMATH Keywords

axial loadnonlinear vibrationTimoshenko beam theoryincremental harmonic balance methodtransition parameter

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45)

Cites Work

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• Asymptotic analysis of resonances in nonlinear vibrations of the 3-dof pendulum
• Effect of axial force on free vibration of Timoshenko multi-span beam carrying multiple spring-mass systems
• Development of spectral element method for free vibration of axially-loaded functionally-graded beams using the first-order shear deformation theory
• Supercritical nonlinear transverse vibration of a hyperelastic beam under harmonic axial loading
• PARAMETRIC AND EXTERNAL RESONANCES IN KINEMATICALLY AND EXTERNALLY EXCITED NONLINEAR SPRING PENDULUM
• Buckling and Vibration Analysis of Cold-Formed Steel CHS Members and Frames Using Generalized Beam Theory
• Multi-Harmonic Analysis of Dry Friction Damped Systems Using an Incremental Harmonic Balance Method
• Natural frequencies of Timoshenko beams under compressive axial loads

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