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Practicing engineers and students of aeronautic and applied mechanics will develop a solid conceptual background in the theory of structures with this easy-to-understand introduction to probabilistic methods. No previous knowledge of the theory of probability and random processes is required.
The text/reference provides a thorough overview, starting with elements of the theory of probability from two or more random variables and proceeding to an examination of the reliability of such multivariable structures. Further, it introduces the theory of random function, focusing on random vibration of single- and multi-degree-of freedom structures and continuous systems, and presents the Monte Carlo method for treating problems incapable of exact solution.
Chapters 1 through 7 are suitable for a one-semester, first-level undergraduate course, while the material in chapters 8 through 11 is appropriate for the analytically minded senior and graduate student. The text can also be used for a graduate course on random vibration and buckling and as a reference by practicing engineers and research workers. Numerous examples, with illustrative figures, clarify the well-written text; and many exercises are provided with each chapter to facilitate the reader's grasp of the subject.
- Sales Rank: #2776056 in Books
- Brand: Brand: Dover Publications
- Published on: 1999-02-16
- Released on: 1999-02-16
- Original language: English
- Number of items: 1
- Dimensions: .94" h x 5.44" w x 8.50" l, 1.20 pounds
- Binding: Paperback
- 502 pages
- Used Book in Good Condition
Most helpful customer reviews
5 of 6 people found the following review helpful.
Review
By A Customer
This book is a very lucidly written one in the area of probabilitistic applications in mechanics and vibratrions. The first chapter is an introduction in to the history of probability and its roots. The book begins with an introduction to probability and probability distributions and this is covered in the initial couple of chapters. The second chapter deals with the basics of probability involving set thory. The third and fourth chapters deals with the basic concepts of probability and deals with different probability distributions in practice. In the next couple of chapters the concepts of derived distributions are covered. The concept of derived distributions along with transformations used are covered in the fourth and fifth chapters. The theory of random functions are covered in the sixth chapter. Then the application of probability and stochastic processes to structural mechanics for example stability, vibration theory have been covered. The final chapter is on the random number generation. It deals with Monte Carlo simulation of probability distributions and random functions.
3 of 3 people found the following review helpful.
Well worth the price
By A Customer
A nice, interesting book with a lot of useful information on probabilistic structural analysis, but does not follow the current industrial practice that is leaning towards stochastic FEA and FORM/SORM based limit state analysis. If you want to understand modern structural reliability theory, or plan to work in probabiistic design, I would strongly reccomend the textbooks by Haldar & Mahadevan. In short, Prof. Elishakoff's book will be a nice companion volume, but not a main reference. Cant beat the price, though.
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