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Sensitivity analysis for nonlinear structures
Descriptive
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Title
Sensitivity analysis for nonlinear structures
Name
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Kong
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Qiang
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Qiang Kong
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(authority = RULIB)
author
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Gea
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Hae Chang
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Advisory Committee
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Hae Chang Gea
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chair
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Song
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Peng
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Advisory Committee
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Peng Song
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Pelegri
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Assimina A.
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Advisory Committee
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Assimina A. Pelegri
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internal member
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Balaguru
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Perumalsamy N.
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Advisory Committee
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Perumalsamy N. Balaguru
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Rutgers University
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Graduate School - New Brunswick
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theses
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2008
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2008-01
Language
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English
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electronic
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application/pdf
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xi, 81 pages
Abstract
Sensitivity analysis of total strain energy for nonlinear structures is studied. Based on the law of energy-consistent, the effective strain and stress have been defined to provide scalar measures of the strain and stress for the two and three dimensional problems. The total strain energy is transformed in the form of the effective stain and stress. A closed-form approach for sensitivity calculation is derived. This method can also be extended to large displacement, large rotation problems using the 2nd Piola-Kirchhoff stress and Green-Langrange stress.
The numerical examples with both geometric and material nonlinearity are presented to demonstrate the applications for the proposed sensitivity analysis calculation for strain energy. To evaluate the accuracy of the new method, numerical results obtained by the proposed method are compared with those from both analytical solution (for simple geometry) and finite differencing method.
The closed-form solution of design sensitivity is also applied for reliability-based structural design. Specifically, the case study is performed for the problem for the uncertain applied force performed, and uncertain Young's modulus with nonlinear materials. The numerical results obtained by the close-formed solution are compared with those from Monte Carlo simulation.
The numerical examples with both geometric and material nonlinearity are presented to demonstrate the applications for the proposed sensitivity analysis calculation for strain energy. To evaluate the accuracy of the new method, numerical results obtained by the proposed method are compared with those from both analytical solution (for simple geometry) and finite differencing method.
The closed-form solution of design sensitivity is also applied for reliability-based structural design. Specifically, the case study is performed for the problem for the uncertain applied force performed, and uncertain Young's modulus with nonlinear materials. The numerical results obtained by the close-formed solution are compared with those from Monte Carlo simulation.
Note
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Ph.D.
Note
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Includes bibliographical references (p. 77-80).
Subject
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Topic
Mechanical and Aerospace Engineering
Subject
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Topic
Structural design
Subject
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Topic
Structural analysis (Engineering)
Subject
(ID = SUBJ4);
(authority = ETD-LCSH)
Topic
Nonlinear theories
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Graduate School - New Brunswick Electronic Theses and Dissertations
Identifier
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rucore19991600001
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http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.17147
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ETD_598
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NjNbRU
Identifier
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doi:10.7282/T3X92BN0
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ETD doctoral
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Rights
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The author owns the copyright to this work.
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Copyright protected
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Open
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Name
Qiang Kong
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Copyright holder
Affiliation
Rutgers University. Graduate School - New Brunswick
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Non-exclusive ETD license
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Author Agreement License
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I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
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