Publication: Free vibration analysis of circular plates by differential transformation method
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Date
Authors
Yalcin, Hasan Serter
Arikoglu, Aytac
Özkol, Ibrahim
Advisor
Department
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier BV
Type
Abstract
The authors perform free vibration analysis of circular plates under different boundary conditions by means of the differential transformation method (DTM). The DTM is based on the Taylor series expansion and allows to change from differential to integro-differential equations by recurrence relations; additionally, the boundary conditions can be transformed into a set of algebraic equations. The results are verified by comparison with Bessel function solutions and numerical solutions. As the authors state, the DTM is a reliable, fast converging and robust method for eigenvalue analysis of circular plates.
Description
Journal or Series
Applied Mathematics and Computation
ISSN
0096-3003
ISBN
Rights
CLOSED
Keywords
Vibrations in dynamical problems in solid mechanics, Numerical approximation of solutions of dynamical problems in solid mechanics, integro-differential equations, Plates, Other numerical methods in solid mechanics, Taylor series expansion, regularity conditions