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Symmetry 2018, 10(8), 328; https://doi.org/10.3390/sym10080328

Thermodynamic Response of Beams on Winkler Foundation Irradiated by Moving Laser Pulses

Institute of Solid Mechanics, Beihang University, Beijing 100191, China
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Received: 21 June 2018 / Revised: 26 July 2018 / Accepted: 31 July 2018 / Published: 8 August 2018
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Abstract

In this paper, the exact analytical solutions are developed for the thermodynamic behavior of an Euler-Bernoulli beam resting on an elastic foundation and exposed to a time decaying laser pulse that scans over the beam with a uniform velocity. The governing equations, namely the heat conduction equation and the vibration equation are solved using the Green’s function approach. The temporal and special distributions of temperature, deflection, strain, and the energy absorbed by the elastic foundation are calculated. The effects of the laser motion speed, the modulus of elastic foundation reaction, and the laser pulse duration time are studied in detail. View Full-Text
Keywords: Euler–Bernoulli beam; elastic foundation; moving laser pulse; Green’s function techique Euler–Bernoulli beam; elastic foundation; moving laser pulse; Green’s function techique
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Sun, Y.; Liu, S.; Rao, Z.; Li, Y.; Yang, J. Thermodynamic Response of Beams on Winkler Foundation Irradiated by Moving Laser Pulses. Symmetry 2018, 10, 328.

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