Item description for Simple Deformation and Vibration by FEA by Gunnar Backstrom...
Simple Fields of Physics by FEA Understanding Elasticity the Easy Way Elastic deformation is of enormous importance in mechanical engineering and has long been a prominent item in technical education. The theory profits from major developments during the 1800s. Stress and strain do not transform as directly as vectors, and the subject is somewhat counter-intuitive. A century ago one had to resort to graphical devices, such as the Mohr circle, to handle elasticity concepts. Most textbooks still use this antiquated technique. With the advent of the PC it became possible to transform stress and strain analytically and to plot results in informative ways. In addition, elastic deformation could then be studied by means of finite element analysis, which dramatically extended the range of applications. The present volume contains other enhancements with respect to ordinary textbooks. Problems of torsion and warping are solved by PDEs, even for hollow shafts. There is also a treatise on thermoelastic defor-mation. Many examples are in three dimensions. Finally, wave motion is studied by a slight extension of the PDE formalism. The latter is sufficient for solving problems of forced as well as free vibration. Eigenstates can thus be illustrated for objects in 2D and 3D. This book assumes no previous knowledge of FEA. In the first chapters it introduces the graphics facilities of FlexPDE and then demonstrates how Laplace and Poisson equations may be solved. The free student version of this program is sufficient throughout.
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Studio: GB Publishing
Est. Packaging Dimensions: Length: 9.06" Width: 6.14" Height: 0.63" Weight: 0.79 lbs.
Release Date Mar 13, 2006
Publisher GB Publishing
ISBN 9197555320 ISBN13 9789197555326
Availability 148 units. Availability accurate as of May 27, 2017 02:08.
Usually ships within one to two business days from La Vergne, TN.
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More About Gunnar Backstrom
Backstrom has served as a senior lecturer at Uppsala University and later as professor of physics at Umea University.
Reviews - What do customers think about Simple Deformation and Vibration by FEA?
Essential Accompaniment to FlexPDE Jan 26, 2009
Prof. Backstrom supplies 101 useful applications of the free Student Version of the excellent finite element analysis program FlexPDE. He covers the following topics: liquid, rotating as a disk; earth and moon as point masses, and planets of finite size, in a gravitational field; plane stress and plane strain; steel plate under compressive strain; strained plate; plate subjected to pressure at one end; plate with tension applied at both ends; plate subjected to shear forces; beam with uniform load; beam loaded on a line; gravity bending; beam with bending moments at ends; elastic energy; semi-circular beam; compound semi-circular beam; tube with internal and external pressure; tube with tangential load; tube with internal pressure; tube pressurized over part of its length; stress concentration in a shaft; twisted circular steel shaft; twisted square bar; compound bar; hollow bar; warping of an elliptical shaft; uniformly heated semi-circular rod; steel block strained by a temperature gradient; bi-metallic block; axially-symmetric heating of a cylinder; two point charges of different signs; elasticity in three dimensions; plate under pressure from top; bending of a beam under gravity; beam under asymmetric load; tube under asymmetric load; torsion and warping of a hollow bar; forced shear vibration of a beam; animated shear vibration; longitudinal vibration; bending vibration; animation of a vibrating plate; circular membrane; triangular drumhead; fancy drumhead; vibration of a rectangular block; vibration of a tube; vibrating circular plate; vibrating plate with free boundaries; vibrating sledgehammer; plane acoustic wave; resonance; constricted cavity; and cylindrical resonator. So, you can see that Prof. Backstrom covers many of the classic field problems of elasticity and vibration in both two and three dimensions.
There is very little here to complain about. Perhaps the displayed graphs should be heavier and thus be more legible. The scripts, as given, have to be typed in for each problem; however, after I requested that they be provided as text files to the FlexPDE Forum, Prof. Backstrom complied, saving all of us in industry much typing time. One other point: the program can plot field flux lines and potential lines in one orthogonal net, however, only the values of one or the other variable are tabulated, not both. I've requested that the developers fix this so that the numerical values of both flux and potential can appear on one graph, rather than on separate graphs