Accession Number : ADA307277

Title :   A General Mathematical Model for Beam and Plate Vibration in Bending Modes Using Lumped Parameters.

Descriptive Note : Technical note,

Corporate Author : NATIONAL AERONAUTICS AND SPACE ADMINISTRATION HUNTSVILLE AL GEORGE C MARSHALL SPACE FLIGHT CENTER

Personal Author(s) : Vatz, Irvin P.

PDF Url : ADA307277

Report Date : APR 1966

Pagination or Media Count : 51

Abstract : The analytic method proposed in this paper solves for natural frequencies and mode shapes of distributed mass and stiffness systems such as beams and plates. The structure is divided into an equivalent system of discrete masses and springs. A schematic diagram can be built up to show the nature of each item affecting the system. Increased off-hand evaluation of design changes results. A group of simultaneous equations is made up from the discrete schematic system. These equations comprise the mathematical model of the system. The model does not account for any extensional deformation. Only bending is considered. The application of the method to shells and other curved plates is suggested when only bending modes need to be considered.

Descriptors :   *VIBRATION, *BENDING, MATHEMATICAL MODELS, MASS, MATRICES(MATHEMATICS), LOADS(FORCES), STRUCTURAL ANALYSIS, STRUCTURAL MECHANICS, BEAMS(STRUCTURAL), DEFORMATION, STIFFNESS, DISPLACEMENT, DAMPING, EIGENVALUES, MOMENTS, SHELLS(STRUCTURAL FORMS), CYLINDRICAL BODIES, SYSTEMS ANALYSIS, BENDING STRESS, HINGES, FLAT PLATE MODELS, ALGEBRAIC FUNCTIONS.

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE