Politecnico di Torino
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Politecnico di Torino
Academic Year 2015/16
01OAGQD, 01OAGNE
Vibration mechanics
Master of science-level of the Bologna process in Mechanical Engineering - Torino
Teacher Status SSD Les Ex Lab Tut Years teaching
Fasana Alessandro ORARIO RICEVIMENTO O2 ING-IND/13 40 10 30 0 9
SSD CFU Activities Area context
ING-IND/13 8 B - Caratterizzanti Ingegneria meccanica
Subject fundamentals
The subject aims at giving an analytical, numerical and experimental survey of the various topics related to the study of vibrating structures. Signal processing, oriented at a correct use of the practical and numerical tools for modal analysis and system identification, is therefore treated both at a theoretical and applicative level.
Expected learning outcomes
The students should acquire knowledge and comprehension of the fundamentals of theoretical, numerical and experimental analysis of vibrating structures. The ability of correctly handling the theoretical models is compulsory and practical examples, carried out in classroom, at computer or in laboratory, will give the student the ability to verify the comprehension of the lectures, to implement the proposed calculus techniques and to familiarize with the experimental procedures of modal analysis.
Prerequisites / Assumed knowledge
Prerequisites for attending the subject are the basic knowledge of theoretical mechanics, dynamics of single degree of freedom systems and elements of matrix calculus. A good attitude at basic algebra and numerical computing is helpful.
Contents
Summary of single degree of freedom systems: free and forced response, with viscous and hysteretical damping.
Multi degrees of freedom systems with lumped parameters: modal coordinates; eigenvalues, eigenvectors and operational deflection shapes; free and forced (FRF) response; models and effects of damping.
Signal processing: Fourier series and transform; analogue to digital conversion; correlation and spectra; numerical and practical aspects in the computation of FRFs.
Procedures and instrumentation of experimental modal analysis.
Identification of vibrating systems and modal parameters extraction.
Comparison of numerical and experimental results.
Delivery modes
Theoretical lectures are often supported by examples and practical case studies, carried out in the classroom.
Numerical examples are weekly solved (in one of the computer rooms of PoliTo) by the students by using MatlabŪ scripts, specifically prepared to exploit the material presented during the lectures. For this task students are continuously supported by staff members.
Students, split in small groups, will take part to lab demonstrations and hands-on examples to familiarize with the instrumentation and the basic procedures of sound and vibration tests.
No homework is given and no report is required about the experimental tests.
Texts, readings, handouts and other learning resources
Maia, N. M. M., Silva, J. M. M. et al, Theoretical and experimental modal analysis, Research Studies Press Ltd., England
Shin, K., Hammond, J.K., Fundamentals of Signal Processing for Sound and Vibration Engineers, John Wiley & Sons , England
Leonard Meirovitch, Elements of Vibration Analysis, McGraw-Hill (or: Fundamentals of Vibrations, Waveland Pr Inc)
Ewins D.J., Modal testing: theory and practice, Research Studies Press Ltd., England
Fasana A., S. Marchesiello, Meccanica delle vibrazioni, CLUT, Torino
Papers, notes, MatlabŪ scripts and links to specific websites will be given during the course.
Assessment and grading criteria
The exam is a written test, with different questions on any of the subjects discussed in the classroom or in the labs. The final mark only depends on this text and the grade is proportional to the correctness and completeness of the answers
The ability of correctly handling analytical models and explaining the techniques presented throughout the course will be required. Simple numerical examples, similar to those described during the practical lectures, will also be proposed. The ability of using MatlabŪ will not be checked but the knowledge of the explained numerical techniques is required.

Programma definitivo per l'A.A.2015/16
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