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Systematic generation of nonlinear discretized dynamic equilibrium equations of spinning cantileversGeneral nonlinear discretized governing equations of motion of spinning elastic solids and structures are adjusted for the case of a spinning cantilever with initial geometric imperfections. Consideration is given to second degree nonlinearities in the strain-displacement and velocity-displacement relationships. Parameters of the discretization are developed to include the type and number of the coordinate functions used in the admissible trial solution in order to unify the discretization approaches associated with stationarity principles. The coordinate functions comprise both sets of continuous and piecewise continuous functions employed in the Rayleigh-Ritz and the finite element methods, respectively. Coefficient matrices are provided which contain the energy density expressions and which are adaptable to computer programming.
Document ID
19820047655
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
El-Essawi, M.
(Duke Univ. Durham, NC, United States)
Utku, S.
(Duke University Durham, NC, United States)
Salama, M.
(California Institute of Technology, Jet Propulsion Laboratory, Div. of Applied Mechanics, Pasadena CA, United States)
Date Acquired
August 10, 2013
Publication Date
January 1, 1982
Publication Information
Publication: Computers and Structures
Volume: 15
Issue: 3, 19
Subject Category
Structural Mechanics
Accession Number
82A31190
Funding Number(s)
CONTRACT_GRANT: NAS7-100
Distribution Limits
Public
Copyright
Other

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