Dynamic response of axially moving Timoshenko beams: integral transform solution

DOI10.1007/S10483-014-1879-7zbMath1308.74138OpenAlexW1523112877MaRDI QIDQ2338991

Jian Su, Chen An

Publication date: 27 March 2015

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-014-1879-7

zbMATH Keywords

integral transformtransverse vibrationhybrid solutionaxially moving Timoshenko beam

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05)

Related Items (9)

Analytical analysis for vibration of longitudinally moving plate submerged in infinite liquid domain ⋮ Multi-scale analysis and Galerkin verification for dynamic stability of axially translating viscoelastic Timoshenko beams ⋮ Transverse vibration of viscoelastic Timoshenko beam-columns ⋮ Natural frequencies of a super-critical transporting Timoshenko beam ⋮ Effects of rotary inertia on sub- and super-critical free vibration of an axially moving beam ⋮ Analytical bending solutions of thin plates by two‐dimensional generalized integral transform method ⋮ Transverse free vibration and stability of axially moving nanoplates based on nonlocal elasticity theory ⋮ Nonlinear dynamics of axially moving viscoelastic Timoshenko beam under parametric and external excitations ⋮ Dynamic stiffness method for free vibration of an axially moving beam with generalized boundary conditions

Uses Software

• Mathematica

Cites Work

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• Three-dimensional nonlinear planar dynamics of an axially moving Timoshenko beam
• Nonlinear free transverse vibrations of axially moving Timoshenko beams with two free ends
• Non-linear parametric vibration and stability analysis for two dynamic models of axially moving Timoshenko beams
• Initial estimates of the linear subsystems of Wiener-Hammerstein models
• Dynamic response of clamped axially moving beams: integral transform solution
• Non-linear vibrations and stability of an axially moving beam with time-dependent velocity
• Dynamic stability of axially moving viscoelastic beams with pulsating speed
• Vibration and stability of an axially moving Rayleigh beam
• Numerical algorithm for natural frequencies computation of an axially moving beam model
• Natural frequencies, modes and critical speeds of axially moving Timoshenko beams with different boundary conditions
• Dynamic stability of axially accelerating Timoshenko beam: averaging method
• Parametric resonance of axially moving Timoshenko beams with time-dependent speed
• Spectral analysis for the transverse vibration of an axially moving Timoshenko beam
• Nonlinear free transverse vibration of an axially moving beam: Comparison of two models
• Dynamics of an axially moving viscoelastic beam subject to axial tension

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