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.
Highlights
Lasers are widely utilized in engineering applications because of their super processing efficiency, adaptability to local treatment and high operation precision
A Bernoulli beam setting on an elastic foundation is considered, and its dynamic response is studied when it is exposed to a moving laser pulse
Assume that a Bernoulli beam is exposed to a moving laser pulse which is decaying exponentially with time
Summary
Lasers are widely utilized in engineering applications because of their super processing efficiency, adaptability to local treatment and high operation precision. Li and Yuan [26] applied the quasi-Green’s function technique to solve the free vibration problem of thin plates on the Winkler foundation. Sun et al [27] studied the thermomechanical response of a beam induced by a movable laser pulse They derived the Green’s function for the fourth-order vibration equation and derived the deflection of a heated beam. Ma et al [28,29] utilized the Green’s function technique to present a general solution for the dual-phase-lag heat conduction equations of a two-dimensional square plate and a three-dimensional skin model. A Bernoulli beam setting on an elastic foundation is considered, and its dynamic response is studied when it is exposed to a moving laser pulse. The nonhomogeneous heat conduction equation and vibration equation are solved analytically to derive the temperature, deflection and strain
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