Free vibration analysis of a type of tapered beams by using Adomian decomposition method

DOI10.1016/j.amc.2012.09.069zbMath1309.74035OpenAlexW1964622468MaRDI QIDQ2019013

Stanislaw Pietrzko, Qibo Mao

Publication date: 26 March 2015

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.09.069

zbMATH Keywords

Adomian decomposition methodmode shapevibration analysisnatural frequencytapered beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (6)

Stochastic forced vibration analysis of a tapered beam with performance deterioration ⋮ Large displacement behaviour of tapered cantilever Euler-Bernoulli beams made of functionally graded material ⋮ Extraction of Natural Frequencies and Mode Shapes of Rotating Beams by Variational Iteration Method ⋮ Discrete singular convolution element method for static, buckling and free vibration analysis of beam structures ⋮ Analytical modeling of the coupled nonlinear free vibration response of a rotating blade in a gas turbine engine ⋮ Flexural free vibrations of multistep nonuniform beams

Cites Work

• Vibration of a variable cross-section beam
• Solving frontier problems of physics: the decomposition method
• The free vibration of a type of tapered beams
• Analytic treatment for variable coefficient fourth-order parabolic partial differential equations
• An innovative eigenvalue problem solver for free vibration of Euler-Bernoulli beam by using the adomian decomposition method
• An exact solution for variable coefficient fourth-order wave equation using the Adomian method
• On the analysis of laterally vibrating slender beams subject to various complicating effects
• A Direct Solution for the Transverse Vibration of Euler-Bernoulli Wedge and Cone Beams
• Vibration in the Two Principal Planes of a Non-Uniform Beam of Rectangular Cross-Section, One Side of Which Varies as the Square Root of the Axial Co-ordinate

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