分数阶热弹性理论下中空粘弹性圆柱热弹耦合动力响应

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Abstract Based on Ezzat’s fractional order thermoelastic theory, the Kelvin-Voigt viscoelastic model was introduced to establish the thermoelastic coupling dynamic model of viscoelastic hollow cylinder, and the dynamic response of a viscoelastic hollow cylinder subjected to a thermal shock on outer surface is investigated. The inner and outer surfaces of the hollow cylinder are constrained to some extent. The governing equations of the problem based on the fractional order thermoelastic theory are formulated and solved by means of Laplace transform and its numerical inversion. The non-dimensional temperature, displacement, radial stress and hoop stress are thusly obtained and illustrated graphically. In the calculation, the emphasis is focused on investigating the effect of the viscoelastic relaxation time and fractional coefficient on the variations of the physical variables considered. The results show that the viscoelastic relaxation time has an obvious effect on all physical variables except the non-dimension temperature and the fractional coefficient has obvious influence on all physical variables, especially at the peak or valley of the curve.
Key words: Fractional order thermoelastic; Kelvin-Voigt viscoelastic; Laplace transform; Thermal shock

Key words： Fractional order thermoelastic Kelvin-Voigt viscoelastic Laplace transform Thermal shock

Received: 13 July 2021 Published: 28 November 2022

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	Articles by authors
	GUO Ying1
	XIONG Chunbao2
	YU Kuahai1
	LIANG Bin1

Cite this article:

GUO Ying1,XIONG Chunbao2,YU Kuahai1, et al. Thermoelastic coupled dynamic response of a hollow viscoelastic cylinder based on the fractional order thermoelastic theory[J]. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(22): 152-159.

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http://jvs.sjtu.edu.cn/EN/ OR http://jvs.sjtu.edu.cn/EN/Y2022/V41/I22/152

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