Free vibration frequencies of a circular thin plate with variable parameters

DOI10.1134/S1063454120030140zbMath1460.74043OpenAlexW3087579906MaRDI QIDQ2227912

G. P. Vasiliev, Andreĭ Leonidovich Smirnov

Publication date: 16 February 2021

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1063454120030140

zbMATH Keywords

asymptotic solutionperturbation methodlinearly varying thicknesslinear parameter variation

Mathematics Subject Classification ID

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)

Related Items (1)

Natural frequencies of an inhomogeneous square thin plate

Cites Work

• Transverse vibration of a circular plate with unidirectional quadratic thickness variation
• Transverse vibration of a circular plate with arbitrary thickness variation
• Asymptotic methods in mechanics of solids
• Axisymmetric vibrations of circular plates of linearly varying thickness
• AXISYMMETRIC VIBRATIONS OF CIRCULAR AND ANNULAR PLATES WITH VARIABLE THICKNESS
• AXISYMMETRIC VIBRATION OF A CIRCULAR PLATE WITH EXPONENTIAL THICKNESS VARIATION
• Use of Characteristic Orthogonal Polynomials in Two Dimensions for Transverse Vibration of Elliptic and Circular Plates With Variable Thickness
• On free vibration analysis of circular annular plates with non-uniform thickness by the differential quadrature method

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