The dynamic response of plates on Pasternak foundation to distributed moving load
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Date
2001
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Journal of Nigerian Association of Mathematical Physics, Nigerian Association of Mathematical Physics.
Abstract
The dynamics analysis of the rectangular plate resting on a Pasternak foundation and subjected to uniform partially distributed moving masses is carried out. The effect of shear deformation and rotary inertia are neglected. The governing partial differential equation is transformed into a set of coupled ordinary differential equations that are eventually solved using finite difference techniques. It is found that an increase in an area of the distribution of the moving mass causes a reduction in the maximum dynamic deflection. Various values of dynamic deflection for various value of foundation moduli are obtained and presented in tabular form. Moreover, the critical speeds of the moving masses and forces were calculated. Finally, numerical examples are given and the results compared well with existing ones for the limiting cases in which the areas of the load distribution reduces to zero, and also the effects of inertia mass neglected.
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Keywords
plates on Pasternak foundation