Functionally graded cylinders: Vibration analysis

DOI10.1002/ZAMM.202200430MaRDI QIDQ6188896

A. O. Vatul'yan, V. V. Dudarev, R. M. Mnukhin

Publication date: 8 February 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

zbMATH Keywords

finite element methodvariable densitystress-strain stateamplitude-frequency characteristicresonant frequencyvariable Lamé parameternormal/tangential loadsteady-state free vibration

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Vibrations in dynamical problems in solid mechanics (74H45) Inhomogeneity in solid mechanics (74E05) Finite element methods applied to problems in solid mechanics (74S05)

Cites Work

• 3D vibration analysis of solid and hollow circular cylinders via Chebyshev-Ritz method.
• Natural frequency analysis of 2D-FGM thick hollow cylinder based on three-dimensional elasticity equations
• Effect of material inhomogeneity on characteristics of a functionally graded hollow cylinder
• Identification of the Lamé parameters of an inhomogeneous pipe based on the displacement field data
• Analytical solution for three-dimensional stresses in a short length FGM hollow cylinder
• Selected Problems in the Elastodynamics of Piezoceramic Bodies

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