Abstract
In this article, a solution to the problem of thermally induced vibration of an inhomogeneous beam is presented. A laser pulse with non-Gaussian temporal form is applied to the upper surface of a beam at the beginning of time; we used generalized thermoelasticity. An analytical technique based on the Laplace transform was used to calculate the vibration of deflection and temperature. The inverse of Laplace transforms are computed numerically using Fourier expansion techniques. We have studied the effects of phase lags, the inhomogeneity parameter, the time of the laser-pulse, and the laser intensity parameters on lateral vibration, temperature, displacement, stress, and strain of the beam. The numerical results are given and presented graphically for dual phase lag theory of thermoelasticity.