Dynamic Analysis of Solid Structures based on Space-Time Finite Element Analysis

Bibliographic Details
Main Author:	Alpert, David Neil
Language:	English
Published:	University of Cincinnati / OhioLINK 2009
Subjects:	Mechanical Engineering space-time finite element analysis discontinuous Galerkin
Online Access:	http://rave.ohiolink.edu/etdc/view?acc_num=ucin1235497490

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spelling	ndltd-OhioLink-oai-etd.ohiolink.edu-ucin12354974902021-08-03T06:13:08Z Dynamic Analysis of Solid Structures based on Space-Time Finite Element Analysis Alpert, David Neil Mechanical Engineering space-time finite element analysis discontinuous Galerkin <p>Accurate prediction of structural responses under combined, extreme environments is traditionally analyzed using semi-discrete finite element methods. These methods pose difficulties when simulating responses in the high frequency range and having long duration, and capturing sharp gradients and discontinuities. These difficulties motivate the extension of the finite element discretization scheme to the temporal domain through time-discontinuous Galerkin (or space-time finite element) methods.</p> <p>By establishing approximations in both the spatial and temporal domains, this thesis demonstrates the robustness of this approach in handling temporal variations in the loading conditions. Both 1D and 2D space-time finite element codes are developed and applied to four benchmark problems. Convergence studies with the use of different error estimators are conducted. The developed space-time formulation is shown to be both robust and accurate. Comparing with the semi-discrete scheme, it has unique advantages in tracing structural responses under a variety of time-dependent loading conditions.</p> 2009-04-15 English text University of Cincinnati / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=ucin1235497490 http://rave.ohiolink.edu/etdc/view?acc_num=ucin1235497490 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws.
collection	NDLTD
language	English
sources	NDLTD
topic	Mechanical Engineering space-time finite element analysis discontinuous Galerkin
spellingShingle	Mechanical Engineering space-time finite element analysis discontinuous Galerkin Alpert, David Neil Dynamic Analysis of Solid Structures based on Space-Time Finite Element Analysis
author	Alpert, David Neil
author_facet	Alpert, David Neil
author_sort	Alpert, David Neil
title	Dynamic Analysis of Solid Structures based on Space-Time Finite Element Analysis
title_short	Dynamic Analysis of Solid Structures based on Space-Time Finite Element Analysis
title_full	Dynamic Analysis of Solid Structures based on Space-Time Finite Element Analysis
title_fullStr	Dynamic Analysis of Solid Structures based on Space-Time Finite Element Analysis
title_full_unstemmed	Dynamic Analysis of Solid Structures based on Space-Time Finite Element Analysis
title_sort	dynamic analysis of solid structures based on space-time finite element analysis
publisher	University of Cincinnati / OhioLINK
publishDate	2009
url	http://rave.ohiolink.edu/etdc/view?acc_num=ucin1235497490
work_keys_str_mv	AT alpertdavidneil dynamicanalysisofsolidstructuresbasedonspacetimefiniteelementanalysis
_version_	1719432922800324608

Dynamic Analysis of Solid Structures based on Space-Time Finite Element Analysis

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