Numerical solution of the plate bending and free vibrations problems

DOI10.1016/0021-8928(82)90065-XzbMath0526.73086OpenAlexW2059683870MaRDI QIDQ594661

K. I. Babenko, Sergey D. Algazin

Publication date: 1982

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(82)90065-x

zbMATH Keywords

algorithmfree vibrationsbendingbiharmonic equationeigenfrequency computationaccuracy be higher, the smoother the solutionboundary has curvature of order of 1000 at twelve pointsclamped and edge-supported plateif plate boundary is sufficiently smooth and given parametrically, several of first eigenvalues calculated

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical and other methods in solid mechanics (74S99)

Related Items (1)

A numerical-analytic investigation of the flutter of a plate of arbitrary shape in the plane

Cites Work

• Natural Modes and Natural Frequencies of Uniform, Circular, Free-Edge Plates
• Analysis of Heterogeneous Anisotropic Plates
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