Thermodynamic Behaviors of a Viscoelastic Plate for Vibration Control with Nonlocal Effect and Temperature-Dependent Properties when Subjected to a Moving Heat Source
Publication: Journal of Engineering Mechanics
Volume 148, Issue 5
Abstract
Viscoelastic materials are used widely for seismic mitigation and vibration suppression in civil engineering, and have obvious advantages in energy dissipation. Viscoelastic materials and devices are often used in a thermoelastic coupling state. This paper investigated the thermodynamic behaviors of a viscoelastic plate for vibration control based on the generalized thermoviscoelastic theory. The plate was fixed on both surfaces and subjected to a moving heat source on the left. The governing equations of the plate were formulated considering the fractional order derivative heat conduction, material nonlocal effect, and temperature-dependent properties. The problem was solved numerically using the Laplace transform and its inverse transformation. The distribution of the nondimensional temperature, stress, and displacement along the thickness direction of the plate were determined and graphed. The impacts of the heat source moving speed, the fractional parameter, nonlocal effect parameter, and temperature-dependent parameter were discussed and analyzed. The thermodynamic behaviors of the plate are affected greatly by the considered parameters.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request, including (1) the calculation code programmed for the Laplace transform and its inverse transformation, and (2) the numerical results of the nondimensional variables along the thickness direction of the viscoelastic plate.
Acknowledgments
This study was supported financially by the National Natural Science Foundation of China (Grant No. 52108443), the National Key Research and Development Plans (Grant No. 2019YFE0121900), the Program of Chang Jiang Scholars of the Ministry of Education, the Tencent Foundation through the Xplorer Prize, the Zhi Shan Scholarship of Southeast Univ., the Innovation and Entrepreneurship Program (Innovation and Entrepreneurship Doctor) of Jiangsu Province (Grant No. JSSCBS20210132), and the Fundamental Research Funds for the Central Universities.
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Published In
Journal of Engineering Mechanics
Volume 148 • Issue 5 • May 2022
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© 2022 American Society of Civil Engineers.
History
Received: Aug 18, 2021
Accepted: Jan 6, 2022
Published online: Mar 14, 2022
Published in print: May 1, 2022
Discussion open until: Aug 14, 2022
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