Dynamic Response to Moving Concentrated Masses of Highly Prestressed Orthotropic Rectangular Plate Resting on Pasternak Foundation

In this paper, the response to moving concentrated masses of highly prestressed orthotropic rectangular plate resting on two parameter elastic sub-grades is investigated. equation governing motion under action travelling masses, it observed that a small multiplies highest order operator which peculiar singular perturbation problems. From literatures, problems in derivatives differential do not have closed-form solution. Problems such as this, defile conventional mathematical methods used obtain approximate solution, since affects problem way solution varies rapidly some regions domain definition and slowly other parts. It well-known fact when problem's its equation, only amenable perturbation. Since all methods, method matched asymptotic expansions more user-friendly, adopted for problem. Analyses obtained dynamical are shown plotted curves. These reveal increase value prestress or shear modulus leads critical speed traversed by mass. Also, rotatory inertia mass ratio increases, decreases. As observed, there than one resonance condition system involves flexure then, smaller ratio, better improvement speed.