Accession Number : AD0432757


Title :   SOME NONLINEAR VIBRATION AND RESPONSE PROBLEMS OF CYLINDRICAL PANELS AND SHELLS,


Corporate Author : CALIFORNIA INST OF TECH PASADENA GRADUATE AERONAUTICAL LABS


Personal Author(s) : Cummings,Benjamin E


Report Date : Jun 1962


Pagination or Media Count : 1317


Abstract : Large amplitude vibrations and forced response of curved panels and shells are studied by the application of the shallow shell equation. Che Galerkin procedure is used to reduce the nonlinear partial differential equations to ordinary nonlinear equations. Marked differences are found between the behavior of curved panels and cylindrical shells. Relations for the dependence of the free vibration period on amplitude are given. A two mode analysis of the cylindrical shell problem is included. The curved panel is found to exhibit a buckling phenomenon for the simple breathing modes. Shock response methods are used to predict dynamic buckling of the curved panel and the predictions are verified by numerical integration. The cylindrical shell vibrations and responses are found to be governed by Duffing's equation and certain of the well-known properties of Duffing's equation are applied to the cylindrical shell dy5amics. The two m6de analysis of the cylind9ical shell is shown to exhibit weak coupling, allowing the separate excitation of the coupled modeb. Some numerical results are given. (Author)


Descriptors :   *SHELLS(STRUCTURAL FORMS) , *PANELS , *VIBRATION , NONLINEAR SYSTEMS , PANELS , NONLINEAR DIFFERENTIAL EQUATIONS , NUMERICAL ANALYSIS


Distribution Statement : APPROVED FOR PUBLIC RELEASE