Stress Waves in a Generalized Thermo Elastic Polygonal Plate of Inner and Outer Cross Sections

Publish Year: 1396
نوع سند: مقاله ژورنالی
زبان: English
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JR_JSMA-9-2_004

تاریخ نمایه سازی: 12 اسفند 1398

Abstract:

The stress wave propagation in a generalized thermoelastic polygonal plate of inner and outer cross sections is studied using the Fourier expansion collocation method. The wave equation of motion based on two-dimensional theory of elasticity is applied under the plane strain assumption of generalized thermoelastic plate of polygonal shape, composed of homogeneous isotropic material.  The frequency equations are obtained by satisfying the irregular boundary conditions along the inner and outer surface of the polygonal plate. The computed non-dimensional wave number and wave velocity of triangular, square, pentagonal and hexagonal plates are given by dispersion curves for longitudinal and flexural antisymmetric modes of vibrations. The roots of the frequency equation are obtained by using the secant method, applicable for complex roots.

Authors

R Selvamani

Department of Mathematics, Karunya University, Coimbatore-۶۴۱ ۱۱۴, Tamil Nadu, India

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