Politecnico di Torino
Politecnico di Torino
Politecnico di Torino
Academic Year 2007/08
Applied Stress Analysis II
Master of science-level of the Bologna process in Mechanical Engineering - Torino
Teacher Status SSD Les Ex Lab Tut Years teaching
Genta Giancarlo ORARIO RICEVIMENTO     42 32 10 0 7
SSD CFU Activities Area context
ING-IND/14 7.5 B - Caratterizzanti Ingegneria meccanica
Objectives of the course
The main aim of the course is to give the students a deeper insight of the methods used for the dynamic stress analysis used in mechanical design. The course is concluded with the study of two applications, namely the dynamic stress analysis of rotors and of the crankshafts of reciprocating engines.
The course is based on a total of 44 hours of lectures plus 40 hours of classroom or laboratory exercises,
An overview of dynamic analysis of discrete systems: Mechanical design. Static and dynamic stress analysis. Classical and numerical approach. Automatic computation in design. Numerical simulation. Computer aided engineering (CAE). Discrete linear systems: equations of motion in the configuration space; equations in Lagrange form. State space. Block diagrams. Free behavior of single and multi-d.o.f. systems. Modal uncoupling; modal participation factors. Forced response to harmonic excitation. Structural damping; systems with frequency dependent parameters. Forced response to non harmonic excitation; short account of random vibrations.
Dynamic behavior of continuous systems and discretization techniques: Beams and bars. Euler-Bernoulli beams. Modes of continuous systems. Timoshenko beams. Effect of axial forces on flexural behaviour of beams; vibrating strings. Discretization me thods. Assumed modes and lumped parameter methods. Transfer matrices methods: Myklestadt and Holzer Methods. Finite element method in dynamics. Static, dynamic and Guyan reduction.
Dynamics of rotating machines: Vibrations of rotors: Campbell diagram, critical speeds and fields of instability. Undamped Jeffcott rotor. Damped Jeffcott rotor. Rotor with 4 degrees of freedom, gyroscopic effect. Rotors with many degrees of freedom. Nonisotropic machines. Rotors on hydrodynamic bearings. Balancing of rotors.
Dynamics of reciprocating machines: Equivalent system, dynamics of crank mechanisms, simplified equations of motion, free vibrations. Torsional critical speeds, forced vibrations. Damping of torsional vibrations..
An outline on the dynamics of nonlinear systems: Basics on nonlinear systems Duffing's equation.

G. Genta, Vibration of structures and machines, Springer, New York, 1998.

Programma provvisorio per l'A.A.2007/08

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