Analytical relations between eigenvalues of circular plate based on various plate theories

DOI10.1007/s10483-006-0301-1zbMath1147.74033OpenAlexW1995814360MaRDI QIDQ944600

Liansheng Ma, Tie-Jun Wang

Publication date: 17 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-006-0301-1

zbMATH Keywords

critical buckling loadfirst-order shear deformation plate theoryclassical plate theoryReddy's third-order shear deformation plate theory

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20)

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Exact solutions for axisymmetric flexural free vibrations of inhomogeneous circular Mindlin plates with variable thickness

Cites Work

• Relationships between axisymmetric bending and buckling solutions of FGM circular plates based on third-order plate theory and classical plate theory
• Exact eigenvalue correspondences between laminated plate theories via membrane vibration
• A Simple Higher-Order Theory for Laminated Composite Plates
• Lower Bounds to the Gravest and All Higher Frequencies of Homogeneous Vibrating Plates of Arbitrary Shape
• Buckling load relationship between Reddy and Kirchhoff circular plates