Thermoelastic response of a simply supported beam irradiated by a movable laser pulse

Abstract

This paper studies the thermoelastic dynamic response of a simply supported beam under movable temporally non-Gaussian laser pulse. The heat conduction equation of the problem was solved by using the method of separation of variables. The Green’s function for the forth-order partial differential equation was derived and was used to solve the vibration equation of a heated beam. The temperature, deflection, and strain of the beam were derived analytically and their variations with time and space were illustrated. The influences of moving speed and duration time of the laser pulse on the dynamic responses were also analyzed. It was interesting to observe the propagation of strain wave along the beam axis during the irradiation period of the laser pulse.

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

“…The authors [27] have derived the Green's function for the fourth-order vibration equation of a simple supported beam. Following the procedures of Ref.…”

“…Following the procedures of Ref. [27], the Green's function of Equation (18) could be derived as G 2 (x, x , t − τ), so the deflection of the beam can be expressed by [27] w…”

“…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.…”

Bernoulli-Euler beam under action of a moving thermal source: characteristics of the dynamic behavior

“…Динамическое поведение элементов конструкций при импульсных тепловых воздействиях в настоящее время привлекает внимание многих исследователей [1][2][3][4]. Подобные задачи возникают в таких отраслях современной техники, как применение технологий для неразрушающего контроля и изучения физических свойств материалов на микро-и наномасштабном уровне, технологические процессы производства (лазерное испарение, формовка, сварка), исследование работоспособности нано-и микроэлектромеханических систем в условиях ударно-импульсных тепловых воздействий.…”

“…Подобные задачи возникают в таких отраслях современной техники, как применение технологий для неразрушающего контроля и изучения физических свойств материалов на микро-и наномасштабном уровне, технологические процессы производства (лазерное испарение, формовка, сварка), исследование работоспособности нано-и микроэлектромеханических систем в условиях ударно-импульсных тепловых воздействий. В работах [2][3][4] показано, что в общем случае напряженно-деформированное состояние, вызванное нагревом, определяется продольной сжимающей силой P T и изгибающим моментом M T :…”