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|a (TOE)ost1339293
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|a E 1.99:sand--2015-8622j
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|a Modal Substructuring of Geometrically Nonlinear Finite-Element Models
|h [electronic resource]
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|a Washington, D.C. :
|b United States. Department of Energy. ;
|a Oak Ridge, Tenn. :
|b distributed by the Office of Scientific and Technical Information, U.S. Department of Energy,
|c 2015.
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| 300 |
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|a p. 691-702 :
|b digital, PDF file.
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|a text
|b txt
|2 rdacontent.
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|a computer
|b c
|2 rdamedia.
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|a online resource
|b cr
|2 rdacarrier.
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|a Published through SciTech Connect.
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|a 12/21/2015.
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|a "sand--2015-8622j"
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|a "619965"
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|a AIAA Journal 54 2 ISSN 0001-1452 AM.
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|a Robert J. Kuether; Matthew S. Allen; Joseph J. Hollkamp.
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|a AFOSR.
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|a The efficiency of a modal substructuring method depends on the component modes used to reduce each subcomponent model. Methods such as Craig–Bampton have been used extensively to reduce linear finite-element models with thousands or even millions of degrees of freedom down orders of magnitude while maintaining acceptable accuracy. A novel reduction method is proposed here for geometrically nonlinear finite-element models using the fixed-interface and constraint modes of the linearized system to reduce each subcomponent model. The geometric nonlinearity requires an additional cubic and quadratic polynomial function in the modal equations, and the nonlinear stiffness coefficients are determined by applying a series of static loads and using the finite-element code to compute the response. The geometrically nonlinear, reduced modal equations for each subcomponent are then coupled by satisfying compatibility and force equilibrium. This modal substructuring approach is an extension of the Craig–Bampton method and is readily applied to geometrically nonlinear models built directly within commercial finite-element packages. The efficiency of this new approach is demonstrated on two example problems: one that couples two geometrically nonlinear beams at a shared rotational degree of freedom, and another that couples an axial spring element to the axial degree of freedom of a geometrically nonlinear beam. The nonlinear normal modes of the assembled models are compared with those of a truth model to assess the accuracy of the novel modal substructuring approach.
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|b AC04-94AL85000.
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|a Mathematics And Computing.
|2 edbsc.
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|a Sandia National Laboratories.
|4 res.
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|a United States.
|b Department of Energy.
|4 spn.
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|a United States.
|b Department of Energy.
|b Office of Scientific and Technical Information.
|4 dst.
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|u http://www.osti.gov/scitech/biblio/1339293
|z Online Access (via OSTI)
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|a .b90428754
|b 03-09-23
|c 02-15-17
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|b 08-04-17
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|a University of Colorado Boulder
|b Online
|c Online
|d Online
|e E 1.99:sand--2015-8622j
|h Superintendent of Documents classification
|i web
|n 1
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