STATISTICAL-ANALYSIS OF A CIRCULAR PLATE ON A RANDOM WINKLER FOUNDATION

Statistical analysis of the problem of a circular plate on a random Winkler support is presented using the small fluctuation approximation technique. In particular, we consider the specific case of an infinite circular plate loaded by a uniform circumferential load. The explicit statistical solutions are obtained for deflections, moments and shear forces at every point along the circular plate. The statistical information about the relative deflection is given. All these statistical functions are required for constructing the probability density function of deflections, relative deflections, moments and shear forces. The structural reliability analysis of the circular plate can be performed based on these probability density functions. In general, the power spectral density of the stochastic field for modulus of subgrade reaction is not usually available and hence the upper bounds of the variance and standard deviation of the deflection at the specified points of the circular plate for engineering use are proposed.