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Mixed models and reduction method for dynamic analysis of anisotropic shellsA time-domain computational procedure is presented for predicting the dynamic response of laminated anisotropic shells. The two key elements of the procedure are: (1) use of mixed finite element models having independent interpolation (shape) functions for stress resultants and generalized displacements for the spatial discretization of the shell, with the stress resultants allowed to be discontinuous at interelement boundaries; and (2) use of a dynamic reduction method, with the global approximation vectors consisting of the static solution and an orthogonal set of Lanczos vectors. The dynamic reduction is accomplished by means of successive application of the finite element method and the classical Rayleigh-Ritz technique. The finite element method is first used to generate the global approximation vectors. Then the Rayleigh-Ritz technique is used to generate a reduced system of ordinary differential equations in the amplitudes of these modes. The temporal integration of the reduced differential equations is performed by using an explicit half-station central difference scheme (Leap-frog method). The effectiveness of the proposed procedure is demonstrated by means of a numerical example and its advantages over reduction methods used with the displacement formulation are discussed.
Document ID
19860049718
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Noor, A. K.
(NASA Langley Research Center Hampton, VA, United States)
Peters, J. M.
(NASA Langley Research Center; George Washington University Hampton, VA, United States)
Date Acquired
August 12, 2013
Publication Date
January 1, 1985
Subject Category
Structural Mechanics
Accession Number
86A34456
Distribution Limits
Public
Copyright
Other

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