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.
About the Author: Vincenzo Vullo is full professor at University of Rome "Tor Vergata", Italy, where teach mechanical design in the Master of Science in Mechanical Engineering. He graduated with honors in Mining Engineering at the Polytechnic University of Turin. He taught machine design at the Polytechnic University of Turin from 1977 to 1982 and at University of Naples from 1983 to 1986. His principal research areas include mechanical structures, analysis of rotors, plates and shells, advanced design in automotive and railway industry and finite element method of analysis. He is the author of about 180 scientific papers and he is a member of a number of professional societies, including ASME and SAE.

Francesco Vivio graduated in Mechanical Engineering with honors and he earned a PhD in Machine System Design from the University of Rome "Tor Vergata. Since 2002 he has taught mechanical design in the Master of Science in Mechanical Engineering and Mechatronics Engineering and in Graduate Research School in Mechanical Systems Design at University of Rome "Tor Vergata". He is currently full researcher and aggregate professor, teaching mechanical design in mechanical engineering. His principal research areas include mechanical structures, analysis of rotors, plates and shells, solid mechanics, advanced design in automotive and railway industry and finite element method of analysis. He is the author of about 80 scientific papers and he is a member of a number of professional societies including Society of Automotive Engineers, which presented an award to him in 1999.