Abstract: Giving up any assumptions about displacement models and stress distribution,ba-sed on Refs [1] and [2] and introducing δ-function into the present study,the stateequation for the open cylindrical shells with four clamped edges is established,Anidentical exact solution is obtained for the thin,moderately thick and thick laminated open cylindrical shells.

Key words: second order generalized distributed parameter system, spectrum distribution, Hilbert space, generalized inverse one of bounded linear operatiors, thick open laminated cylindrical shell, clamped edges, state equ-ation, exact solution