Mathematics of Random Phenomena

Mathematics of Random Phenomena
Author: P. Krée
Publisher: Springer Science & Business Media
Total Pages: 452
Release: 2012-12-06
Genre: Science
ISBN: 9400947704

Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes.

Proceedings of the Eighth World Conference on Earthquake Engineering, July 21-28, 1984, San Francisco, California, U.S.A.: Special structures and critical facilities. Urban design, socioeconomic issues and public policy. Lifelines, utility and transportation systems

Proceedings of the Eighth World Conference on Earthquake Engineering, July 21-28, 1984, San Francisco, California, U.S.A.: Special structures and critical facilities. Urban design, socioeconomic issues and public policy. Lifelines, utility and transportation systems
Author: Earthquake Engineering Research Institute
Publisher:
Total Pages: 976
Release: 1984
Genre: Nature
ISBN: 9780132464222

Each of the Volumes for the 1984 Conference Deals with One or More Topics Related to Earthquake Engineering.

Earthquake Engineering

Earthquake Engineering
Author: Sidney F. Borg
Publisher: World Scientific
Total Pages: 362
Release: 1988
Genre: Technology & Engineering
ISBN: 9789971504359

This book is the expanded version of the earlier (first edition) text. It presents new comprehensive rational quantitative theories (utilizing fundamental energy concepts throughout) covering the entire earthquake event from the point of view of the engineer. It starts with a mathematical analysis of an underground mechanism (the earthquake), then proceeds to determinations of the timewise and spacewise variations of the fundamental engineering damage-design parameter, the ground energy. Finally, the new theories are applied to a number of typical (actual) structural and non-structural design problems. Each chapter of the first edition has now been improved and enlarged and new chapters have been added to include recent research by the author and his graduate students.

Analysis of Pile Foundations Subject to Static and Dynamic Loading

Analysis of Pile Foundations Subject to Static and Dynamic Loading
Author: Amir M. Kaynia
Publisher: CRC Press
Total Pages: 401
Release: 2021-08-30
Genre: Technology & Engineering
ISBN: 1000398587

This book presents computational tools and design principles for piles used in a wide range of applications and for different loading conditions. The chapters provide a mixture of basic engineering solutions and latest research findings in a balanced manner. The chapters are written by world-renowned experts in the field. The materials are presented in a unified manner based on both simplified and rigorous numerical methods. The first four chapters present the basic elements and steps in analysis of piles under static and cyclic loading together with clear references to the appropriate design regulations in Eurocode 7 when relevant. The analysis techniques cover conventional code-based methods, solutions based on pile-soil interaction springs, and advanced 3D finite element methods. The applications range from conventional piles to large circular steel piles used as anchors or monopiles in offshore applications. Chapters 5 to 10 are devoted to dynamic and earthquake analyses and design. These chapters cover a range of solutions from dynamic pile-soil springs to elasto-dynamic solutions of large pile groups. Both linear and nonlinear soil behaviours are considered along with response due to dynamic loads and earthquake shaking including possible liquefaction. The book is unique in its unified treatment of the solutions used for static and dynamic analysis of piles with practical examples of application. The book is considered a valuable tool for practicing engineers, graduate students and researchers.