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Optimal Analysis of Structures by Concepts of Symmetry and Regularity (Paperback, 2013 ed.)
Loot Price: R5,554
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Optimal Analysis of Structures by Concepts of Symmetry and Regularity (Paperback, 2013 ed.)
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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 been added 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.
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