Vibrations of Stepped Rectangular Thin Plates on Winkler’s Foundation

Differential equations of free/forced vibrations of stepped rectangular thin plates on Winkler's foundation are established by using singular functions,and their general solutions are also solved for expression of vibration mode function and frequency equations on usual supports derived with Woperator,as well as forced responses of such plates under different-type loads discussed with Fourier expansion of generalized functions.