Free vibration analysis of stepped beams by using Adomian decomposition method
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Publication:613290
DOI10.1016/j.amc.2010.09.010zbMath1427.74059OpenAlexW2066484405MaRDI QIDQ613290
Publication date: 20 December 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2010.09.010
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Numerical and other methods in solid mechanics (74S99)
Related Items (6)
An optimized decomposition method for nonlinear ordinary and partial differential equations ⋮ Comparisons of matched interface and boundary (MIB) method and its interpolation formulation for free vibration analysis of stepped beams and plates ⋮ Vibration of a piezoelectric nanobeam with flexoelectric effects by Adomian decomposition method ⋮ Static, vibration, and transient dynamic analyses by beam element with adaptive displacement interpolation functions ⋮ Free vibration analysis of multiple-stepped beams by using Adomian decomposition method ⋮ An improved analytical method for vibration analysis of variable section beam
Cites Work
- Solving frontier problems of physics: the decomposition method
- Vibration of an Euler--Bernoulli beam on elastic end supports and with up to three step changes in cross-section.
- 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
- Vibration of an Euler–Bernoulli stepped beam carrying a non-symmetrical rigid body at the step
- Free vibration of stepped beams: Exact and numerical solutions
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