Circumferential Waves in Transradially Isotropic Thermoelastic Spherical Curved Plates

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• 作者：N. Sharma
• 关键词：Spherical curved plates ; Matrix Frobenius method ; Lowest frequency ; Damping factor
• 刊名：Proceedings of the National Academy of Sciences, India Section A: Physical Sciences
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：87
• 期：1
• 页码：57-72
• 全文大小：
• 刊物主题：Physics, general; Applied and Technical Physics; Atomic, Molecular, Optical and Plasma Physics; Quantum Physics;
• 出版者：Springer India
• ISSN：2250-1762
• 卷排序：87

文摘

This paper presents the propagation of thermoelastic waves along circumferential direction in homogeneous, transradially isotropic spherical curved plates. Mathematical modeling of the problem to obtain dispersion curves for transversely isotropic thermally conducting spherically curved elastic plates leads to coupled differential equations. The coupled differential equations of motion and heat conductions equation in conjunction with stress free, rigidly fixed thermal boundary conditions on the inner and outer surfaces of a spherical curved plate are solved with matrix Fröbenius method. In order to illustrate theoretical development, numerical solutions are obtained and presented graphically for a zinc, cobalt and silicon nitride plate. The graphical results are compared with the available literature. Thermal variations for the non-axially symmetric case of plane strain vibrations, these modes remain coupled and are affected by temperature change. Moreover, these vibration modes are found to be dispersive in nature.