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ISSN: 2475-4811 (print)
ISSN: 2475-482X (online)
Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

Pawel Olejnik (editor)

Lodz University of Technology, Poland

Email: pawel.olejnik@p.lodz.pl

C. Steve Suh (editor)

Texas A&M University, USA

Email: ssuh@tamu.edu

Xiangguo Tuo (editor)

Sichuan University of Science and Engineering, China

Email: tuoxianguo@suse.edu.cn

The Non-Classical Problem of Thermoelastic Stability of an Elastically Restrained Orthotropic Plate of Variable Thickness

Journal of Vibration Testing and System Dynamics 6(2) (2022) 195--206 | DOI:10.5890/JVTSD.2022.06.002

Razmik M. Kirakosyan, Seyran P. Stepanyan

Institute of Mechanics NAS of RA, 24/2 Marshal Baghramyan ave, 0019, Yerevan, Armenia Yerevan State\addressNewline University, 1 Alex Manougian str, 0070, Yerevan, Armenia

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Abstract

In this paper elastically clamping conditions are given for the bending problem of rectangular plate. It is assumed that these conditions and physical and mechanical properties of the plate material do not depend on temperature. Within the framework of the momentless theory, expressions are obtained for compressive forces, arising as a result of a uniform increase in temperature. A wide range of elastic pinching conditions is considered. In the general case, both a system of differential equations of partial derivatives with unknown variable coefficients and corresponding boundary conditions are obtained to solve the addressed problem. Unknown functions are represented by multiples. A homogeneous system of algebraic equations with respect to unknown coefficients of polynomials is obtained. For certain problems, introducing dimensionless quantities, a technique to calculate the critical temperature by the collocation method is described.

References

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