The Rayleigh-Ritz Method for Structural Analysis

Download or read book The Rayleigh-Ritz Method for Structural Analysis written by Sinniah Ilanko and published by John Wiley & Sons. This book was released on 2014-12-02 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.