Exact piezothermoelastic solution of simply-supported orthotropic circular cylindrical panel in cylindrical bending

Dube, G. P. ; Kapuria, S. ; Dumir, P. C. (1996) Exact piezothermoelastic solution of simply-supported orthotropic circular cylindrical panel in cylindrical bending Archive of Applied Mechanics, 66 (8). pp. 537-554. ISSN 0939-1533

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Official URL: https://link.springer.com/article/10.1007/BF008081...

Related URL: http://dx.doi.org/10.1007/BF00808143

Abstract

This work presents an exact piezothermoelastic solution of infinitely long, simply supported, cylindrically orthotropic, piezoelectric, radially polarised, circular cylindrical shell panel in cylindrical bending under thermal and electrostatic excitation. The general solution of the governing differential equations is obtained by separation of variables. The displacements, electric potential and temperature are expanded in appropriate Fourier series in the circumferential coordinate to satisfy the boundary conditions at the simply-supported longitudinal edges. The governing equations reduce to Euler-Cauchy type of ordinary differential equations. Their general solution involves six constants for each Fourier component. These are solved from the algebraic equations obtained by satisfying the boundary conditions at the lateral surfaces. The solution of the inverse problem of inferring the applied temperature field from the given measured distribution of electrical potential difference between the lateral surfaces of the shell has also been presented. Numerical results are presented for typical thermal and electrostatic loadings for various values of radius to thickness ratio.

Item Type:Article
Source:Copyright of this article belongs to Springer Verlag.
Keywords:Piezothermoelasticity; Orthotropy; Polarization; Panel; Bending; Inverse Problem
ID Code:110040
Deposited On:31 Jan 2018 11:32
Last Modified:31 Jan 2018 11:32

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