The rayleigh-ritz method for structural analysis

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 meth...

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Bibliographic Details
Main Authors Ilanko , Sinniah, Monterrubio , Luis E, Mochida , Yusuke
Format eBook
LanguageEnglish
Published Newark WILEY 2014
John Wiley & Sons, Incorporated
Wiley-Blackwell
Edition1
SeriesMechanical engineering and solid mechanics series
Subjects
Calculus of variations
Mechanics
Resonant vibration
Science
Structural analysis (Engineering)
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Summary: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.
ISBN:1118984447
9781118984437
1848216386
1118984439
9781118984444
9781848216389
DOI:10.1002/9781118984444