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Analysis of Geometrically Nonlinear Structures (Hardcover, 2nd ed. 2004)
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Analysis of Geometrically Nonlinear Structures (Hardcover, 2nd ed. 2004)
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The availability of computers has, in real terms, moved forward the
practice of structural engineering. Where it was once enough to
have any analysis given a complex configuration, the profession
today is much more demanding. How engineers should be more
demanding is the subject of this book. In terms of the theory of
structures, the importance of geometric nonlinearities is explained
by the theorem which states that "In the presence of prestress,
geometric nonlinearities are of the same order of magnitude as
linear elastic effects in structures. " This theorem implies that
in most cases (in all cases of incremental analysis) geometric
nonlinearities should be considered. And it is well known that
problems of buckling, cable nets, fabric structures, ... REQUIRE
the inclusion of geometric nonlinearities. What is offered in the
book which follows is a unified approach (for both discrete and
continuous systems) to geometric nonlinearities which incidentally
does not require a discussion of large strain. What makes this all
work is perturbation theory. Let the equations of equilibrium for a
system be written as where P represents the applied loads, F
represents the member forces or stresses, and N represents the
operator which describes system equilibrium.
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