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Ilanko, Sinniah

The Rayleigh-Ritz Method for Structural Analysis

Ilanko, Sinniah - The Rayleigh-Ritz Method for Structural Analysis, ebook

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ISBN: 9781118984420
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A presentation of the theory behind the Rayleigh-Ritz (R-R) method, as well as a discussion of the choice of admissible functions and the use of penalty methods, including recent developments such as using negative inertia and bi-penalty terms. While presenting the mathematical basis of the R-R method, the authors also give simple explanations and analogies to make it easier to understand. Examples include calculation of natural frequencies and critical loads of structures and structural components, such as beams, plates, shells and solids. MATLAB codes for some common problems are also supplied.

Keywords: introduction; energy; conservation; principle; applications; multiplier; lagrangian; penalty; courants; terms; useful; theorem; theorems; natural; beams; plates; planform, Solid Mechanics, Solid Mechanics

Author(s)
 
 
Publisher
John Wiley and Sons, Inc.
Publication year
2014
Language
en
Edition
1
Page amount
254 pages
Category
Natural Sciences
Format
Ebook
eISBN (ePUB)
9781118984420
Printed ISBN
9781848216389

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