Accession Number : AD0872813

Title :   Nonlinear Free Vibrations of Thin, Circular Cylindrical Shells.

Descriptive Note : Final technical rept.,

Corporate Author : STANFORD UNIV CA DEPT OF AERONAUTICS AND ASTRONAUTICS

Personal Author(s) : Mayers, Jean ; Wrenn, Bruce G.

Report Date : JUL 1970

Pagination or Media Count : 74

Abstract : The report presents the results of a study of the influence of higher order and nonlinear effects on the free vibration behavior of thin, circular cylindrical shells. A recent solution utilizing strain-displacement relations is examined and criticized. A new solution is carried out which removes the basis for criticism and discloses the existence of a nonperiodic vibration behavior, a phenomenon heretofore unknown. Further, solutions are obtained using strain-displacement relations applied to the shell post-buckling problem. The effect of the improved strain-displacement relations in predicting the vibration behavior attendant to a modal shape possessing a small number of circumferential waves is assessed, and recommendations are made for directing future effort on the problem. (Author)

Descriptors :   (*SHELLS(STRUCTURAL FORMS), VIBRATION), (*CYLINDRICAL BODIES, STRAIN(MECHANICS)), ARMY RESEARCH, EQUATIONS OF MOTION, NONLINEAR SYSTEMS, DYNAMICS, BUCKLING, MATHEMATICAL PREDICTION, CURVE FITTING, ENERGY.

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE