Dynamic response of clamped axially moving beams: integral transform solution

DOI10.1016/j.amc.2011.05.035zbMath1259.74018OpenAlexW1981984459MaRDI QIDQ720609

Jian Su, Chen An

Publication date: 11 October 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11422/8616

zbMATH Keywords

time seriesanalytic approximationtransverse vibration

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)

Related Items (9)

Combining integral transform and a generalized probabilistic approach of uncertainties to quantify model-parameter and model uncertainties in computational structural dynamics: the stochastic GITT method ⋮ On solutions of the equation of small transverse oscillations of a moving web ⋮ Finite integral transform method for analytical solutions of static problems of cylindrical shell panels ⋮ Dynamic behavior of axially functionally graded pipes conveying fluid ⋮ Dynamic analysis of axially moving orthotropic plates: integral transform solution ⋮ Principal parametric resonances of a general continuous system with cubic nonlinearities ⋮ Combined classical and generalized integral transform approaches for the analysis of the dynamic behavior of a damaged structure ⋮ New analytical free vibration solutions of orthotropic rectangular thin plates using generalized integral transformation ⋮ Dynamic response of axially moving Timoshenko beams: integral transform solution

Uses Software

• Mathematica
• IMSL Numerical Libraries

Cites Work

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• Dynamic stability of an axially accelerating viscoelastic beam
• A numerical method for simulating transverse vibrations of an axially moving string
• Application of the differential transformation method to vibration analysis of pipes conveying fluid
• Hamiltonian dynamic analysis of an axially translating beam featuring time-variant velocity
• Simulations of transverse vibrations of an axially moving string: a modified difference approach
• Dynamics of an axially moving viscoelastic beam subject to axial tension

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