Free Vibrations of Composite Plates Made of Functionally Graded Material on an Elastic or Perfectly Rigid Foundation.

Autor:	Marchuk, O. V., Plisov, O. O., Tamoyan, T. G.
Předmět:	FUNCTIONALLY gradient materials FREE vibration COMPOSITE plates POLYNOMIAL approximation ELASTIC modulus APPROXIMATION error
Zdroj:	International Applied Mechanics; Mar2023, Vol. 59 Issue 2, p225-237, 13p
Abstrakt:	Two approaches to studying the free vibrations of functionally graded plates using a three-dimensional problem statement are developed. The first approach does not have the error of approximation of the unknown functions across the plate thickness. The distribution of the elastic modulus in the first approach is modeled by the exponential law. In the second approach, the polynomial approximation of the unknown functions across the plate thickness is used. The elastic modulus changes as a fourth-degree polynomial. The second approach reduces the unknown functions to the external surfaces of the layers, allowing the partitioning of the layers into sublayers to improve the results. These approaches are used to analyze the free vibrations of a plate made of functionally graded material on a rigid foundation and on a foundation in the form of a finite-thickness layer. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
Externí odkaz:	Zobrazit plný text záznamu Full text from SpringerLink