Dynamic analysis of circular plate on elastic foundation using modified Vlasov model
An analytical method to estimate the elastic properties and modal characteristics of a two layer plate-foundation system is presented. A modified two parameter Vlasov foundation model is developed for the dynamic analysis of a finite circular plate resting on an elastic foundation. The load is considered as a triangular impact which simulates the Falling Weight Deflectometer (FWD) blows. The decay rate-a parameter that governs the displacement profile in the soil foundation-is treated as a function of the characteristics of natural vibration of the system. The foundation layer is treated as a semi-infinite elastic continuum and hence the reflected waves in the horizontal directions are assumed as negligible. A rigorous theoretical basis is outlined in the formulation using a variational principle. The solution to the resulting transcendental equations is found using the Bessel functions for various cases that arise due to the change of material properties and depths of layers. A fast, nondestructive and less costly solution, to the difficulties that stem in the selection of effective material properties due to inhomogeneity and variable thicknesses of soil media may be obtained by the back calculation of soil properties using this model. Therefore this versatile and relatively more accurate method can be very useful in the design of engineering structures such as highways and airport runways. The application of the developed model in the impact loading analysis is illustrated with the numerical results obtained and the results were compared with the records of the FWD field test results. A parametric study is conducted for different elastic properties of the elastic foundation and thicknesses of the plate. The results are produced for the variation of properties and behavior during the course of impact loading and after the impact is diminished.
School Location:USA - Ohio
Source Type:Master's Thesis
Keywords:circular plate elastic foundation modified vlasov model
Date of Publication:01/01/1992