Dipartimento di Ingegneria Civile e ARchitettura

Viale Andrea Doria 6 – 95125 Catania, Italia. Tel. (39) 095 7382418; email:

A.A. 2016-17–COSTRUZIONE DI MACCHINE II

DOCENTE PROF. G. MIRONE

PROGRAMMA DEL CORSO

Basics of elastoplasticity, damage and high strain rateeffect:

Basic concepts of time-independent plasticity –Yielding, Hardening, consistency condition and normality rule – Path-dependent response in elastoplasticity –Triaxial and Deviatoric parameters – Basics of ductile damage mechanisms – Wierzbicki-based damage models - Time-dependent plasticity of materials –Dynamichardening - Johnson-Cook, Zerilli-Armstrong and Cowper-Symonds models – basic concepts of wave propagation in elastic solids – test methods at high strain rates – Hopkinson bar, working principles and practical problems.

Finite elements methodand matrix methods for statics and dynamics:

Matrix method for monodimensional plane structures - Stiffness matrix for an element - Global /local reference rotation matrix - Structure stiffness matrix - Permutation of dof and stiffness partitioning - Nodal displacements and reaction loads - Internal and external constraints –Multiple internal hinges -Element geometry, nodal displacement approximating polynomials - Shape functions - Differentiation and strains - Stress-load relationship - Principle of virtual work, - Truss element - Euler beam - - 4 nodes plane membrane element -4 nodes plane shell element - Isoparametric formulation - Gauss integration - Consistency and direct lumping for mass matrices -Matrix Equations for dynamic equilibrium - Free undamped oscillatory solution - Rayleigh damping - State equations for damped oscillatory motion - Transitory and regimen damped oscillations

Rotating discs:

Fundamental equations - constant thickness disc - effect of shaft and blade supporting ring - Hyperbolic, conical and uniform stress profile discs - Grammel method for arbitrary shape discs - Thermal stresses in discs with arbirtary profile –Centrifugal stress due to radial blades - Stress concentation around holes

Critical speed of shafts:

Shaft with a single lumped mass - Critical speed, eccentricity, oscillations - Effect of transverse inertia - Effect of axial stress - Shaft with multiple lumped masses - Equivalent shaft - Dunkerley formula - Shaft with distributed mass - Stodola method for 1st critical speed – Koch, Giovannozzi and Risitano methods for 2nd ctitical speed - Vibration modes, eigenvalues and eigenvectors.

Torsional vibrations of shafts:

Introduction to torsional vibrations - Equivalent system for a torsionally vibrating shaft - Free and forced solutions for torsional vibrations of a shaft - Frequencies of series and parallel shafts systems - Inertia reduction to crank axis for traslating and rotating components of piston engines - Armonic decomposition of torque induced by pressure and inertia - Main and secondary armonics in multi cylinder engines - Resonating armonics - Vibration amplitude of forced and resonating armonics - dynamic stress on crankshafts

Main components of piston engines:

Design of piston pins - Design of connecting rod arm and eyes - Design of piston rings.

Transmission gears:

Straight teeth conical gears - Tredgold model - Selection of gear parameters - Loads on conical gears - Helicoidal gears - front profile and normal profile - Arc of action and effective width -Selection of gear parameters - Loads on cylindrical gears with helicoidal teeth– Conical gears with helicoidal teeth – Tipical shapes of inclined teeth – Planar/conical equivalent gear-Selection of gear parameters - Loads on conical gears with helicoidal teeth.

SUGGESTED BOOKS:

1)Giovannozzi R., “Costruzione di Macchine Vol. II”, Patron;

2)Belingardi G., “Il Metodo degli Elementi Finiti nella Progettazione Meccanica”, Levrotto & Bella;

3)Lecture notes;

FURTHEROPTIONAL READINGS:

1)Estratto Diana – Cheli – Dinamica dei sistemi meccanici,

2)Estratto Bocchi G. “Motori a quattro tempi”, Hoepli;

3)Estratto Vignocchi D. “Elementi di progettazione del motore”, Athena;

4)Manuali software (MATLAB, MSC MARC) ;

5)Cophra, “Dynamics of Structures Theory and Applic.”, Prentice Hall;

6)Zienkiewicz, Taylor “The finite elements method”, Butterworth Heinemann;

Viale Andrea Doria, 6 95125 Catania Italia

Tel. +39 095 7382405/330240/330238

Fax. +39 095 330258/337994

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