Finite element calculations illustrating a method of model reduction for the dynamics of structures with localized nonlinearities.

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A technique published in SAND Report 2006-1789 ''Model Reduction of Systems with Localized Nonlinearities'' is illustrated in two problems of finite element structural dynamics. That technique, called here the Method of Locally Discontinuous Basis Vectors (LDBV), was devised to address the peculiar difficulties of model reduction of systems having spatially localized nonlinearities. It's illustration here is on two problems of different geometric and dynamic complexity, but each containing localized interface nonlinearities represented by constitutive models for bolted joint behavior. As illustrated on simple problems in the earlier SAND report, the LDBV Method not only affords reduction in size of the ... continued below

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41 p.

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Griffith, Daniel Todd & Segalman, Daniel Joseph October 1, 2006.

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A technique published in SAND Report 2006-1789 ''Model Reduction of Systems with Localized Nonlinearities'' is illustrated in two problems of finite element structural dynamics. That technique, called here the Method of Locally Discontinuous Basis Vectors (LDBV), was devised to address the peculiar difficulties of model reduction of systems having spatially localized nonlinearities. It's illustration here is on two problems of different geometric and dynamic complexity, but each containing localized interface nonlinearities represented by constitutive models for bolted joint behavior. As illustrated on simple problems in the earlier SAND report, the LDBV Method not only affords reduction in size of the nonlinear systems of equations that must be solved, but it also facilitates the use of much larger time steps on problems of joint macro-slip than would be possible otherwise. These benefits are more dramatic for the larger problems illustrated here. The work of both the original SAND report and this one were funded by the LDRD program at Sandia National Laboratories.

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41 p.

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  • Report No.: SAND2006-5843
  • Grant Number: AC04-94AL85000
  • DOI: 10.2172/897608 | External Link
  • Office of Scientific & Technical Information Report Number: 897608
  • Archival Resource Key: ark:/67531/metadc889266

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  • October 1, 2006

Added to The UNT Digital Library

  • Sept. 22, 2016, 2:13 a.m.

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  • Nov. 28, 2016, 4:25 p.m.

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Griffith, Daniel Todd & Segalman, Daniel Joseph. Finite element calculations illustrating a method of model reduction for the dynamics of structures with localized nonlinearities., report, October 1, 2006; United States. (digital.library.unt.edu/ark:/67531/metadc889266/: accessed May 24, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.