Parametric investigations into dynamics of cracked thin rectangular plates excited by a moving mass

Dynamic analysis of cracked thin rectangular plates subjected to a moving mass is investigated first in this paper. To this end, the eigenfunction expansion method is employed to solve the ruling differential equation of motion. For the first time, intact plate orthogonal polynomials in combination with well-known corner functions, serving as a composition, have been used in the governing equation which required professional computer programming to solve the equation. The proposed solutions afford upper bounds for true solutions, which is a property of an appropriate numerical solution. Parametric investigations are performed to determine the effects of moving mass weights, moving mass velocities, crack lengths, crack angular orientations, and plates' aspect ratios on the dynamic responses of cracked thin rectangular plates. The results confirm that the moving mass has a greater impact than the moving load on the dynamic responses of cracked thin rectangular plates. Furthermore, there are non-monotonous nonlinear relations between altering dynamic responses of cracked thin rectangular plates with various boundary conditions and modifying moving mass weights, moving mass velocities, crack lengths, inclined crack angles, and plates' aspect ratios. (c) 2023 Sharif University of Technology. All rights reserved.