Natural frequencies for free vibration of nonhomogeneous elliptic and circular plates using two-dimensional orthogonal polynomials

DOI10.1016/S0307-904X(97)00028-0zbMath0893.73029MaRDI QIDQ1367144

S. Chakraverty, Maurice Petyt

Publication date: 17 November 1997

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

Young's modulusRayleigh-Ritz methodfirst five natural frequenciesparabolic variation of density

Mathematics Subject Classification ID

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

Related Items (3)

The Rayleigh–Ritz method for linear dynamic, static and buckling behavior of beams, shells and plates: A literature review ⋮ Effect of elastic foundation on the vibration of orthotropic elliptic plates with varying thickness ⋮ Effect of non-homogeneity on natural frequencies of vibration of elliptic plates

Cites Work

• Transverse vibration of circular and elliptic plates with variable thickness
• Transverse vibration of completely-free elliptic and circular plates using orthogonal polynomials in the Rayleigh-Ritz method
• On the use of orthogonal polynomials in the Rayleigh-Ritz method for the study of the flexural vibration and buckling of isotropic and orthotropic rectangular plates
• Free vibration analysis of rectangular plates using orthogonal plate function
• Transverse vibrations of nonuniform rectangular orthotropic plates
• Vibrations of nonhomogeneous plates of variable thickness
• On the use of orthogonal polynomials in the rayleigh-ritz method for the study of transverse vibration of elliptic plates
• Transverse vibration of simply supported elliptical and circular plates using boundary characteristic orthogonal polynomials in two variables
• Transverse Vibration Of Annular Circular And Elliptic Plates Using The Characteristic Orthogonal Polynomials In Two Dimensions
• Flexural Vibration of Skew Plates Using Boundary Characteristic Orthogonal Polynomials in Two Variables
• Use of Characteristic Orthogonal Polynomials in Two Dimensions for Transverse Vibration of Elliptic and Circular Plates With Variable Thickness
• Boundary characteristic orthogonal polynomials in numerical approximation

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