Vibration of Continuous Systems

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Автор: Singiresu s. Rao

Название: Vibration of Continuous Systems

Издательство: JOHN WILEY & SONS, INC.

Год: 2007

Формат: PDF

Размер: 21.35mb

Язык: Английский

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This book covers analytical methods of vibration analysis of continuous structural

systems, including strings, bars, shafts, beams, circular rings and curved beams, membranes, plates, and shells. The propagation of elastic waves in structures and solid bodies is also introduced. The objectives of the book are (1) to make a methodical and comprehensive presentation of the vibration of various types of structural elements, (2) to present the exact analytical and approximate analytical methods of analysis, and (3) to present the basic concepts in a simple manner with illustrative examples. Continuous structural elements and systems are encountered in many branches of engineering, such as aerospace, architectural, chemical, civil, ocean, and mechanical engineering. The design of many structural and mechanical devices and systems requires an accurate prediction of their vibration and dynamic performance characteristics.

The methods presented in the book can be used in these applications. The book is

intended to serve as a textbook for a dual-level or first graduate-level course on vibrations or structural dynamics. More than enough material is included for a one-semester course. The chapters are made as independent and self-contained as possible so that a course can be taught by selecting appropriate chapters or through equivalent selfstudy. A successful vibration analysis of continuous structural elements and systems requires a knowledge of mechanics of materials, structural mechanics, ordinary and partial differential equations, matrix methods, variational calculus, and integral equations. Applications of these techniques are presented throughout. The selection, arrangement, and presentation of the material has been made based on the lecture notes for a course taught by the author. The contents of the book permit instructors to emphasize a variety

of topics, such as basic mathematical approaches with simple applications, bars

and beams, beams and plates, or plates and shells. The book will also be useful as a reference book for practicing engineers, designers, and vibration analysts involved in the dynamic analysis and design of continuous systems.