Stability and Optimization of Structures: Generalized Sensitivity
Analysis is the first book to address issues of structural optimization
against nonlinear buckling. Through the investigation of imperfection
sensitivity, worst imperfection and random imperfection based on
concrete theoretical framework, it is shown that optimization against
buckling does not necessarily produce an imperfection-sensitive
structure.
This book offers the reader greater insight into optimization-based and
computer-assisted stability design of finite-dimensional structures.
Using the unified approach to parameter sensitivity analysis, it
connects studies of elastic stability, computational mechanics and
applied mathematics. Optimization based on stability theory is presented
and explained, with 140 figures to illustrate applications in the
framework of finite element analysis.
This book serves as an illustrative introduction for professional
structural and mechanical engineers, graduate students in engineering,
as well as applied mathematicians in the field.