zbMATH — the first resource for mathematics

Application of structural systems reliability theory. (English) Zbl 0597.73098
Berlin etc.: Springer-Verlag. VIII, 343 p. DM 128.00 (1986).
In an earlier book by the first author and M. T. Baker [i.e.: Structural reliability theory and its applications (1982; Zbl 0495.73078)] the basic information on structural reliability theory was given. The main core of the present book is devoted to the beta-unzipping method, (developed at the University of Aalborg, Denmark) and the branch- and-bound method (developed at the University of Osaka prefecture, Japan) for estimating the reliability of structural systems which are usually redundant ones where there exists a great number of failure modes and the most significant failure modes must be taken into account in the estimate.
These methods are discussed in Chapters 6 and 7, respectively. The first 4 chapters contain material on fundamentals of structural reliability theory, modelling of structural systems, reliability of series and parallel systems. In the 5th Chapter, methods for automatic generation of safety margins are developed for a truss structure, a frame structure and elasto-plastic structure. The last Chapter contains material on optimization of structural systems based on the reliability concept. There is an appendix containing the table of values for the standard normal distribution function. Each chapter contains a list of references relevant to the topics covered.
The book contains a good amount of information on the reliability of structural systems which is a relatively new area. Though all the methods used in estimating the reliability of structural systems are not given, the book serves as a useful text and reference book for teachers, students and researchers working in this area.
Reviewer: K.T.S.Iyengar

74K99 Thin bodies, structures
62N05 Reliability and life testing
74-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of deformable solids
74P99 Optimization problems in solid mechanics