Eigenvalues of Inhomogeneous Structures: Unusual Closed-form Solutions

Elishakoff, Isaac

ISBN 10: 0367454270 / ISBN 13: 9780367454272

Published by CRC Pr I Llc, 2020

About this Item

752 pages. 9.21x6.14x1.73 inches. In Stock.

Seller Inventory # zk0367454270

Bibliographic Details

• Title: Eigenvalues of Inhomogeneous Structures: Unusual Closed-form Solutions
• Publisher: CRC Pr I Llc
• Publication Date: 2020
• Language: English
• ISBN 10: 0367454270
• ISBN 13: 9780367454272
• Binding: Paperback
• Condition: Brand New
• Weight: 1.38 kilograms

About this title

Synopsis

The engineering community generally accepts that there exists only a small set of closed-form solutions for simple cases of bars, beams, columns, and plates. Despite the advances in powerful computing and advanced numerical techniques, closed-form solutions remain important for engineering; these include uses for preliminary design, for evaluation of the accuracy of approximate and numerical solutions, and for evaluating the role played by various geometric and loading parameters. Eigenvalues of Inhomogeneous Structures: Unusual Closed-Form Solutions offers the first new treatment of closed-form solutions since the works of Leonhard Euler over two centuries ago. It presents simple solutions for vibrating bars, beams, and plates, as well as solutions that can be used to verify finite element solutions. The closed solutions in this book not only have applications that allow for the design of tailored structures, but also transcend mechanical engineering to generalize into other fields of engineering. Also included are polynomial solutions, non-polynomial solutions, and discussions on axial variability of stiffness that offer the possibility of incorporating axial grading into functionally graded materials. This single-package treatment of inhomogeneous structures presents the tools for optimization in many applications. Mechanical, aerospace, civil, and marine engineers will find this to be the most comprehensive book on the subject. In addition, senior undergraduate and graduate students and professors will find this to be a good supplement to other structural design texts, as it can be easily incorporated into the classroom.

About the Author

Elishakoff, Isaac