E-Book Overview
Stress and strain analysis of rotors subjected to surface and body loads, as well as to thermal loads deriving from temperature variation along the radius, constitutes a classic subject of machine design. Nevertheless attention is limited to rotor profiles for which governing equations are solvable in closed form. Furthermore very few actual engineering issues may relate to structures for which stress and strain analysis in the linear elastic field and, even more, under non-linear conditions (i.e. plastic or viscoelastic conditions) produces equations to be solved in closed form. Moreover, when a product is still in its design stage, an analytical formulation with closed-form solution is of course simpler and more versatile than numerical methods, and it allows to quickly define a general configuration, which may then be fine-tuned using such numerical methods. In this view, all subjects are based on analytical-methodological approach, and some new solutions in closed form are presented. The analytical formulation of problems is always carried out considering actual engineering applications. Moreover, in order to make the use of analytical models even more friendly at the product design stage, a function is introduced whereby it is possible to define a fourfold infinity of disk profiles, solid or annular, concave or convex, converging or diverging. Such subjects, even derived from scientific authors’ contributions, are always aimed at designing rotors at the concept stage, i.e. in what precedes detailed design. Among the many contributions, a special mention is due for the following: linear elastic analysis of conical disks and disks with variable profile along its radius according to a power of a linear function, also subjected to thermal load and with variable density; analysis of a variable-profile disk subjected to centrifugal load beyond the material's yield point, introducing the completely general law expressed by a an n-grade polynomial; linear elastic analysis of hyperbolic disk, subjected to thermal load along its radius; linear elastic analysis of a variable-thickness disk according to a power of a linear function, subjected to angular acceleration; etc.
E-Book Content
Mechanical Engineering Series Frederick F. Ling Editor-in-Chief The Mechanical Engineering Series features graduate texts and research monographs to address the need for information in contemporary mechanical engineering, including areas of concentration of applied mechanics, biomechanics, computational mechanics, dynamical systems and control, energetics, mechanics of materials, processing, production systems, thermal science, and tribology. Advisory Board/Series Editors Applied Mechanics Biomechanics Computational Mechanics Dynamic Systems and Control/ Mechatronics Energetics Mechanics of Materials Processing Production Systems Thermal Science Tribology For further volumes: http://www.springer.com/series/1161 F.A. Leckie University of California, Santa Barbara D. Gross Technical University of Darmstadt V.C. Mow Columbia University H.T. Yang University of California, Santa Barbara D. Bryant University of Texas at Austin J.R.Welty University of Oregon, Eugene I. Finnie University of California, Berkeley K.K. Wang Cornell University G.-A. Klutke Texas A&M University A.E. Bergles Rensselaer Polytechnic Institute W.O. Winer Georgia Institute of Technology . Vincenzo Vullo • Francesco Vivio Rotors: Stress Analysis and Design Vincenzo Vullo Dip. di Ingegneria Industriale University of Rome Tor Vergata Rome Italy Francesco Vivio Dip. di Ingegneria Industriale University of Rome Tor Vergata Rome Italy ISSN 0941-5122 ISSN 2192-063X (electronic) ISBN 978-88-470-2561-5 ISBN 978-88-470-2562-2 (eBook) DOI 10.1007/978-88-470-2562-2 Springer Milan