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ORIGINAL PAPER
Natural Frequencies of Axisymmetric Vibrations of Thin Hyperbolic Circular Plates with Clamped Edges
J. Jaroszewicz 1
 
 
 
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Faculty of Management Bialystok University of Technology 2 Ojca Stefana Tarasiuka St., 16-001 Kleosin, POLAND
 
 
Online publication date: 2017-06-09
 
 
Publication date: 2017-05-24
 
 
International Journal of Applied Mechanics and Engineering 2017;22(2):451-457
DOI: https://doi.org/10.1515/ijame-2017-0028
 
 
Article (PDF)
References (15)
 
KEYWORDS
circular plates
power series
clamped edge
 
ABSTRACT
A free vibration analysis of homogeneous and isotropic circular thin plates with nonlinear thickness variation and clamped edges is considered. The limited independent solutions of differential Euler equation were expanded in the power series based on the properties of integral equations. The analytical frequency equations as power series were obtained using the method of successive approximations.
 
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