-Dynamics of Rotating Machines, Michael I. Friswell and John E. T. Penny, Cambridge Aerospace Series, 2010.
-Rotating machinery vibration, M. L. Adams, Marcel Dekker Ed., 2001.
-Dara W. Childs, Turbomachinery Rotordynamics with Case Studies, Mintel Spring Ed., 2013.
-Agnieszka Muszynska, Rotordynamics, CRC Press, 2005.
-Michel Lalanne and Guy Ferraris, Rotordynamics Prediction in Engineering, Wiley, 1998.
-Giancarlo Genta. Dynamics of Rotating Systems, Springer, 2005.
-Giancarlo Genta, Vibration Dynamics and Control, Springer, 2009.
-D. J. Ewans, Modal testing, Research Studies Press, 2000.
-C. M. Harris, Shock and Vibration Handbook, Mc Graw-Hill, 2009.
-Bolzern, Scattolini e Schiavoni, Fondamenti di controlli automatici, Mc Graw-Hill Italia, 2008.
- G. Marro, Controlli automatici, Zanichelli, 2004.
-Joel L. Schiff, The Laplace Transform: Theory and Applications, Springer-Verlag, 2013.
-J. F. James, A Student's Guide to Fourier Transforms: With Applications in Physics and Engineering Cambridge University Press, 2011.
-Eric W. Hansen, Fourier Transforms: Principles and Applications, John Wiley & Sons, 2014.
-Hassan K. Khalil , Nonlinear Systems, Prentice Hall, 2002.
-B. J. Hamrock, Fundamentals of fluid film lubrication, Mc Graw Hill, 2012.
-E. Meli, Dispense del corso di Meccanica Applicata: teoria della lubrificazione, 2012.
-L. Sciavicco, B. Siciliano, Robotica industriale, Mc Graw Hill, 2008.
-F. Cheli, E. Pennestrì, Cinematica e dinamica dei sistemi multibody, Casa Editrice Ambrosiana, 2010.
-E. Pennestrì, Meccanica applicata alle macchine, Casa Editrice Ambrosiana, 2010.
-E. Meli, Dispense del corso di Meccanica Applicata: richiami di dinamica, 2012.
-G. Dhatt, G. Touzot, The finite element method displayed, Wiley & Sons, 1985.
-G. Dhatt, G. Touzot, The finite element method, Wiley & Sons, 2012.
-O. C. Zienkiewicz, The finite element method, Butterwoth & Heinemann, 2000.
cc1: In-depth knowledge and understanding of the theoretical-scientific aspects of engineering, with a specific reference to mechanical engineering, in which students are able to identify, formulate and solve, even in an innovative way, complex and/or interdisciplinary problems. The ability to understand a multidisciplinary context in the engineering field and to work with a problem solving approach., cc4: Knowledge and understanding of numerical methods for the design and verification of mechanical components and/or systems, including numerical models for the correct representation of material behaviour. Knowledge of analysis types necessary to carry out the aforesaid design and verification activity according to the most recent requirements of the industrial world., cc5: Knowledge and understanding of materials and their behaviour in the various loading conditions found in design practice. Methods for characterising material behavior.
ca1: Applying knowledge and understanding related to problem identification and formulation of solutions, in the field of mechanical engineering, to set up, design, implement and verify systems and apparatus, even of high functional complexity, taking into account the implications related to environmental, economic and ethical aspects, employing well established methods;, ca2: Applying knowledge and understanding related to the analysis and optimization of mechanical devices and systems, as well as to their innovation also through the development and improvement of design methods, constantly confronting with the rapid evolution of mechanical engineering., ca3: Applying knowledge and understanding related to the choice and application of appropriate analytical and modelling methods, based on mathematical and numerical analysis, in order to better simulate the behavior of components and plants in order to predict and improve their performance., ca4: Applying knowledge and understanding related to the implementation of engineering projects adapted to their level of knowledge and understanding, working in collaboration with engineers and non-engineers. The projects may concern components, equipment and mechanical systems of various kinds and for the widest possible applications., ca5: Applying in-depth knowledge and understanding related to the choice and use of appropriate equipment, tools, procedures and methods, knowing their limits and potential; in particular the ability to conduct even complex experiments, manage and employ advanced instrumentation and software, with appropriate analytical capabilities., ca7: Applying knowledge and understanding related to the definition, design and implementation of researches useful for understanding problems, through the use of both theoretical and experimental models and techniques., ca9: Applying knowledge and understanding related to the critically assessment of data and results, drawing appropriate conclusions, aware of the degree of uncertainty that may affect them.
Calculus, Physics, Analytical mechanics, Theory of machines and mechanisms
Frontal lessons, seminars, visits to companies and industries
Type of Assessment
Oral examination and project
The examination will concern the topics and the problems faced during the lessons.
To pass the examination, the sudent will have to show a good knowledge of the topics of the course.
1) Review on vibration mechanics
1.1) 1 DOF systems
1.2) N DOF systems
1.3) Laplace transform and linear systems
1.4) Fourier series / transform and linear systems
2) Lateral vibrations: free dynamics
2.1) Rigid rotors (free dynamics, Campbell diagrams and mode classification)
2.2) Elastic rotors
2.2.1) Disks and shafts
2.2.3) Foundation and basement
2.2.4) equations of motion (free dynamics, Campbell diagrams and mode classification)
3) Lateral vibrations: forced dynamics
3.1) Rigid rotors (Campbell diagram, Bode diagram and classification of external forces)
3.2) Elastic rotors (Campbell diagram, Bode diagram and classification of external forces)
4) Torsional VIbrations
4.1) Lumped parameters models
4.2) FEM models
5) Axial vibrations
5.1) Lumped parameters models
5.2) FEM models
6) 3D models of flexible rotors
6.1) TEHD 3D models of flexible rotors
6.2) FEM discretization of TEHD 3D models of flexible rotors