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Bifurcation of a square plate twisted by corner forces Miya, Raymon
Abstract
A square plate twisted by corner forces is described by classical linear theory as a saddle surface. In an experiment, as the plate deforms to any noticeable deflection, it appears not as a saddle surface, but as a cylindrical surface. The transformation in mode shapes presents problems in determining material behaviour by shear in a plate twisting experiment. The two mode shapes can be described by either displacement or curvature of the surface. The purpose of this work is to investigate the buckling of a square plate twisted by corner forces by determining the bifurcation point and comparing the present FEA work with the experimental results of Howell and other results found in literature. The problem is examined using nonlinear finite element buckling analysis. The bifurcation point is determined by load-displacement plots. The critical value of Gaussian curvature at the centre of the plate is determined by the Southwell plot method. The critical value of Gaussian curvature is found to occur before the bifurcation point. Gaussian curvature is found to vary by an order of magnitude over the plate at bifurcation.
Item Metadata
Title |
Bifurcation of a square plate twisted by corner forces
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
1994
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Description |
A square plate twisted by corner forces is described by classical linear theory as a saddle
surface. In an experiment, as the plate deforms to any noticeable deflection, it appears
not as a saddle surface, but as a cylindrical surface. The transformation in mode shapes
presents problems in determining material behaviour by shear in a plate twisting experiment. The two mode shapes can be described by either displacement or curvature of the
surface. The purpose of this work is to investigate the buckling of a square plate twisted
by corner forces by determining the bifurcation point and comparing the present FEA
work with the experimental results of Howell and other results found in literature. The
problem is examined using nonlinear finite element buckling analysis. The bifurcation
point is determined by load-displacement plots. The critical value of Gaussian curvature
at the centre of the plate is determined by the Southwell plot method. The critical value
of Gaussian curvature is found to occur before the bifurcation point. Gaussian curvature
is found to vary by an order of magnitude over the plate at bifurcation.
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Extent |
1504981 bytes
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Genre | |
Type | |
File Format |
application/pdf
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Language |
eng
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Date Available |
2009-02-25
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Provider |
Vancouver : University of British Columbia Library
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Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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DOI |
10.14288/1.0080843
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Graduation Date |
1994-05
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Campus | |
Scholarly Level |
Graduate
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Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.