Optimal analysis is defined as an analysis that creates and uses
sparse, well-structured and well-conditioned matrices. The focus is
on efficient methods for eigensolution of matrices involved in
static, dynamic and stability analyses of symmetric and regular
structures, or those general structures containing such components.
Powerful tools are also developed for configuration processing,
which is an important issue in the analysis and design of space
structures and finite element models.
Different mathematical concepts are combined to make the optimal
analysis of structures feasible. Canonical forms from matrix
algebra, product graphs from graph theory and symmetry groups from
group theory are some of the concepts involved in the variety of
efficient methods and algorithms presented.
The algorithms elucidated in this book enable analysts to handle
large-scale structural systems by lowering their computational
cost, thus fulfilling the requirement for faster analysis and
design of future complex systems. The value of the presented
methods becomes all the more evident in cases where the analysis
needs to be repeated hundreds or even thousands of times, as for
the optimal design of structures by different metaheuristic
algorithms.
The book is of interest to anyone engaged in computer-aided
analysis and design and software developers in this field. Though
the methods are demonstrated mainly through skeletal structures,
continuum models have also beenadded to show the generality of the
methods. The concepts presented are not only applicable to
different types of structures but can also be used for the analysis
of other systems such as hydraulic and electrical networks."
General
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