Transverse free vibration characteristics of thermoelectric material circular plate in a thermal environment

Abstract

Abstract: In order to obtain the transverse free vibration characteristics of a thermoelectric material circular plate in a thermal environment, based on the classical plate theory and the inherent properties of thermoelectric materials, the governing differential equation of axisymmetric free vibration of thermoelectric material circular plate in thermal environment is established. The dimensionless governing differential equation and its boundary conditions are transformed by differential transformation method (DTM) to obtain the dimensionless natural frequencies of the transverse free vibration of thermoelectric material circular plate under pin-restrained and fixed-restrained conditions, respectively. Compared of the natural frequency of free vibration of isotropic circular plate before and after degradation, the validity of research method is verified. The effects of moments, input heat flux and applied current density on the transient temperature field of thermoelectric circular plate are discussed, as well as the effects of upper surface temperature and the applied current density on the dimensionless natural frequency. The results show that the dimensionless natural frequency of thermoelectric circular plate decreases with the increase of upper surface temperature and increases with the decrease of applied current density. The stronger the boundary constraints, the larger the natural frequency.

Key words: thermoelectric material, circular plate, temperature field, free vibration, natural frequency, differential transformation method

CLC Number:

O343

TENG Zhao-chun, YANG Wen-xiu. Transverse free vibration characteristics of thermoelectric material circular plate in a thermal environment[J]. Journal of Lanzhou University of Technology, 2023, 49(3): 165-172.

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