Nonstandard method of macro-modelling of nonperiodic multilayered plates

In this paper a method of macro-modelling of nonperiodic multilayered elastic plates is proposed. The approach is based on certain concepts of the nonstandard analysis, given by Robinson (1966), combined with some a priori postulated physical assumptions devised by Woźniak (1986, 1991) for periodic media. Using this method, the homogenized model of nonperiodic plate will be derived and applied to the evaluation of inhomogeneity effects on a critical force and a free vibration frequency for a simply supported laminated plate.