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- W2469913426 abstract "Abstract: This paper presents a sampling surfaces method applied to functionally graded piezoelectric cylindrical shells. It is shown that the sampling surfaces method can be utilized efficiently to derivation of 3D exact solutions for functionally graded piezoelectric cylindrical shells with a specified accuracy by using the sufficiently large number of sampling surfaces located at Chebyshev polynomial nodes. 1. Introduction Nowadays, the functionally graded ( FG ) piezoelectric materials are widely used in mechanical engineering due to their advantages compared to traditional piezoelectric materials [1]. At the same time, the study of FG piezoelectric structures is not a simple task [2] because the material properties depend on the transverse coordinate and some specific assumptions concerning their variations in the thickness direction are required (see, e.g. [3]). In practice, this implies that we deal here with a system of differential equations with variable coefficients. Therefore, the conventional approaches can not be applied directly to 3D exact solutions for FG piezoelectric shells. However, it is possible if the shell is artificially divided into a large number of individual layers with equal thicknesses [4]. As a matter of fact, the use of such a technique means that the solutions derived are just approximate [5, 6]. On the contrary, the asymptotic approach to 3D solutions for FG piezoelectric plates and shells [7, 8] yields exact results because governing differential equations are obtained through definite integration in the thickness direction. The present paper is intended to show that the sampling surfaces (" @default.
- W2469913426 created "2016-07-22" @default.
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- W2469913426 date "2013-01-01" @default.
- W2469913426 modified "2023-09-27" @default.
- W2469913426 title "EXACT SOLUTION FOR FUNCTIONALLY GRADED PIEZOELECTRIC CYLINDRICAL SHELLS" @default.
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