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.
