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Title: |
Theory and Analysis of
Nonlinear Framed Structures |
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Authors: |
Yang, Y. B., and Kuo, S. R. |
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Publisher: |
Prentice-Hall, Englewood Cliffs, New
Jersey, 1994, 612 pages. |
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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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