Bifurcation and Buckling in Structures describes the theory and
analysis of bifurcation and buckling in structures. Emphasis is
placed on a general procedure for solving nonlinear governing
equations and an analysis procedure related to the finite-element
method. Simple structural examples using trusses, columns, and
frames illustrate the principles. Part I presents fundamental
issues such as the general mathematical framework for bifurcation
and buckling, procedures for the buckling load/mode analyses, and
numerical analysis procedures to trace the solution curves and
switch to bifurcation solutions. Advanced topics include asymptotic
theory of bifurcation and bifurcation theory of symmetric systems.
Part II deals with buckling of perfect and imperfect structures. An
overview of the member buckling of columns and beams is provided,
followed by the buckling analysis of truss and frame structures.
The worst and random imperfections are studied as advanced topics.
An extensive review of the history of buckling is presented. This
text is ideal for advanced undergraduate and graduate students in
engineering and applied mathematics. To assist readers, problems
are listed at the end of each chapter, and their answers are given
at the end of the book. Kiyohiro Ikeda is Professor Emeritus at
Tohoku University, Japan. Kazuo Murota is a Project Professor at
the Institute of Statistical Mathematics, Japan, as well as
Professor Emeritus at the University of Tokyo, Kyoto University,
and Tokyo Metropolitan University, Japan.
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