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ORIGINAL PAPER
Analytical Solutions To Boundary Value Problem Of Free Vibration Of Sandwich Thin Circular Plates With Discrete Elements
1
Business Informatics and Logistics, Faculty of Management, Bialystok University of Technology, Ojca Tarasiuka street 2, 16-001 Kleosin, POLAND
2
Production Management, Faculty of Management, Bialystok University of Technology, Ojca Tarasiuka street 2, 16-001 Kleosin, POLAND
Online publication date: 2015-09-19
Publication date: 2015-08-01
International Journal of Applied Mechanics and Engineering 2015;20(3):617-627
KEYWORDS
ABSTRACT
In the paper the influence function and the method of partial discretization in free axisymmetric vibration analysis of multilayered circular plates of constant and linearly variable thickness were presented. The effects of shear deformation and rotary inertia for the core as well as the facings were neglected. An analytical investigation based on the classical plate theory was made for the multilayered plate which satisfies Sokołowski’s condition. Discretization of mass and replacing stiffness of a fixed circular plate were presented. Formulas of influence matrix and Bernstein-Kieropian’s estimators for different steps of discretization were defined. The influence of variable distribution of parameters on the value of double estimators of natural basic and higher frequency of a sandwich circular plate was investigated.
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