Abstract: The present paper gives the approximate equations of the eccentric cylindricalthin shell under small deflections. Br means of the analytical method, we solved theequations. Thus the relations between the stress, the displacement and the eccentricityof the eccentric cylindrical thin shell are obtained.

Key words: liaear operator, spectrum, generalized Thue-Morse substittution, vibrational equation, eccentric cylindrical thin shell, small deflections, approximateequations