Free vibration analysis of variable thickness thin plates by two-dimensional differential transform method
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Publication:359430
DOI10.1007/s00707-013-0833-2zbMath1321.74042OpenAlexW2010926524MaRDI QIDQ359430
Shabnam Jandaghi Semnani, Rahmat Kazemi Firouzjaei, Reza Attarnejad
Publication date: 12 August 2013
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00707-013-0833-2
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) Plates (74K20)
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Cites Work
- Unnamed Item
- Two-dimensional differential transform method for solving linear and non-linear Schrödinger equations
- Free vibration analysis of piezoelectric coupled annular plates with variable thickness
- Comments on ``Solving a class of two-dimensional linear and nonlinear Volterra integral equations by the differential transform method
- Influence of variable thickness on stability of rectangular plate under compression
- Application of the fractional differential transform method to fractional-order integro-differential equations with nonlocal boundary conditions
- A multi-step differential transform method and application to non-chaotic or chaotic systems
- Free transverse vibration of an axially loaded non-uniform spinning twisted Timoshenko beam using differential transform
- Solving a class of two-dimensional linear and nonlinear Volterra integral equations by the differential transform method
- Free vibration analysis of circular plates by differential transformation method
- Flapwise bending vibration analysis of double tapered rotating Euler-Bernoulli beam by using the differential transform method
- Free vibration analysis of plates using least-square-based finite difference method
- A new algorithm for calculating two-dimensional differential transform of nonlinear functions
- Nonlinear dynamic response of isotropic thin rectangular plates on elastic foundations
- Static and free vibrational analysis of beams and plates by differential quadrature method
- Application of differential transformation to eigenvalue problems
- On the two-dimensional differential transform method
- Buckling optimization of plates with variable thickness subjected to nonuniform uncertain loads.
- Solving partial differential equations by two-dimensional differential transform method
- Two-dimensional differential transform for partial differential equations
- Free vibration analysis of thin plates using Hermite reproducing kernel Galerkin meshfree method with sub-domain stabilized conforming integration
- Parametric study of the dynamic response of thin rectangular plates traversed by a moving mass
- 3-D free vibration analysis of thick functionally graded annular plates on Pasternak elastic foundation via differential quadrature method (DQM)
- Solving systems of fractional differential equations using differential transform method
- Stability and vibration of shear deformable plates -- first order and higher order analyses
- Solution of fractional differential equations by using differential transform method
- A semi-analytical DQEM for free vibration analysis of thick plates with two opposite edges simply supported
- Applications of differential transform methods to differential-algebraic equations
- Analysis of Heterogeneous Anisotropic Plates
- Free vibration analysis of circular plates with variable thickness by the generalized differential quadrature rule
