Splines in vibration analysis of non-homogeneous circular plates of quadratic thickness

DOI10.1515/JAA-2021-2078zbMath1506.65199OpenAlexW4206236264MaRDI QIDQ2101150

Neeraj Dhiman, Mohammad Tamsir, Robin Vikram Singh

Publication date: 28 November 2022

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa-2021-2078

zbMATH Keywords

circular platequintic splinenon-homogeneityquadratic thickness

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Dynamical systems in solid mechanics (37N15) Ill-posed problems for PDEs (35R25) Simulation of dynamical systems (37M05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) PDEs in connection with mechanics of deformable solids (35Q74)

Uses Software

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Cites Work

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• Free vibration analysis of circular plates by differential transformation method
• Transverse vibration of polar orthotropic parabolically tapered circular plates
• Transverse vibrations of non-homogeneous orthotropic rectangular plates of variable thickness: A spline technique
• Vibration analysis of non-homogeneous circular plate of nonlinear thickness variation by differential quadrature method
• Natural frequencies of simply supported circular plates
• Finite element iterative method for optimal elastic design of circular plates
• Axisymmetric vibration of circular plates and its analog in elliptical plates using characteristic orthogonal polynomials
• The Rayleigh–Ritz method for linear dynamic, static and buckling behavior of beams, shells and plates: A literature review

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