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Title: |
Theory and Analysis of Nonlinear Framed
Structures (Chinese Version) |
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Authors: |
Yang, Y. B., and Kuo, S. R. |
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Publisher: |
2002 |
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Introduction: |
This book is intended to serve as a bridge for connecting
the traditional continuum mechanics principles with modern
computational procedures. One message to be conveyed is
that nonlinear analysis is not a direct extension or repeated
application of linear analysis. In conducting a nonlinear
analysis, say, for the cases of planar and space frames
or trusses covered in the book, each of the phases involved
has to be qualified by certain rules, before the entire
procedure can be put into work. To this end, the authors
have proposed the rigid body rules for testing the nonlinear
theories and associated finite elements derived. Approaches
based on such a concept seem to be nonexistent in the
literature, as far as the nonlinear behaviors of structures
are concerned. However, they prove to be physically meaningful
and help clarify several existing arguments related to
the buckling of space frames and curved beams.
With the rigid body rules serving as the guidelines, the
authors are able to demonstrate that the problems encountered
in the buckling analysis of curved beams are closely related
to those of space frames, and that they can be solved
by the same unified means- a point not fully realized
by previous researchers. In reality, application of the
rigid body rule, which is universally valid, is far beyond
those presented in the book for the truss members, straight
beams, and curved beams. It can be promisingly extended
to inspecting the validity of other nonlinear theories
and finite elements, such as those for plates and shells.
The analytic solutions presented in the book for several
lateral buckling problems serve as the benchmarks for
evaluation of the accuracy of various numerical procedures. |
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