Abstract

The thermoelastic dynamic response of a clamped Bernoulli beam was studied when it was irradiated by a movable, temporally non-Gaussian, laser pulse. Both the energy absorption depth and the time decaying effects were considered. The temperature distribution, deflection, vibration acceleration, and stress of the beam were derived analytically, and the variations of them with time and space were illustrated. It was shown that the vibration frequency is independent of the scanning speed of the laser pulse. It is important to notice that, although the deflection of the beam is small, high vibration acceleration can be induced in microbeams, which is important for failure and fracture of the beam. Moreover, compressive stress is induced in the beam, but the importance of temperature-induced stress and deformation-induced stress may be different according to the duration time and moving speed of the laser pulse.

Highlights

  • The thermoelastic process with a movable heat source is commonly employed in modern manufacturing processes and tribological applications, such as cutting, welding, and surface laser treatment [1]

  • They pointed out that sheet deformation depends on the integration of the thermal and the pre-stresses when the sheet metal surface is irradiated by laser beams

  • This paper focuses on the thermoelastic response of a clamped beam subjected to a movable time-decaying laser pulse

Read more

Summary

Introduction

The thermoelastic process with a movable heat source is commonly employed in modern manufacturing processes and tribological applications, such as cutting, welding, and surface laser treatment [1] During this process, the local surface of the substrate material, including biological tissues, metallic and nonmetallic materials, is suddenly irradiated by the laser beam; as a consequence, the temperature of the inner region nearby the heated surface sharply rises. Guan et al [4] carried out numerical simulations of laser bonding of preloaded sheet metals They pointed out that sheet deformation depends on the integration of the thermal and the pre-stresses when the sheet metal surface is irradiated by laser beams. Yilbas et al [6] presented an analytic solution for thermal stresses in the short-pulse heating of a metallic surface subjected to an exponentially time-decaying laser. The importance of the two components of stress, i.e., the stress induced by deformation and the stress induced by temperature increment, is discussed

Basic Formulations for This Problem
Solution to the Heat Conduction Equation
Solution of the Vibration Equation
Calculation Results and Discussions
Temperature Variation
Temperature
Deflection Variation
Deflections
Frequency Spectra of Deflection
Vibration Behaviors and Properties of the Beam
Behaviors of Stress
12. Stress
Conclusions
Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call