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Mechanisms Design
31416
Description
Course Program

  • Kinematics and Curvature Analysis
    • Galilei-Varignon, Rivals, and Coriolis Theorems;
    • Poisson and Bour Formulas;
    • Instantaneous Center of Rotation and Chasles’ theorem;
    • Polar Trajectories and Transformation Matrices;
    • Center of Accelerations;
    • Vector Fields of Velocities and Accelerations;
    • Euler-Savary formula, Bobillier theorem, and Hartmann construction;
    • Circle of Inflections and Stationarity (Bresse circles);
    • Application Examples.

  • Machines and Mechanisms:
    • Pairs and Kinematic Chains;
    • Degrees of Freedom and Grübler’s criterion;
    • Type and Number Synthesis.

  • Kinematic Chains:
    • 4-member Chains: 4R, 3RP, 2R2P, RPRP;
    • 6-member Chains: Watt and Stephenson;
    • 8-member Chains.

  • Chains with Higher Pairs: Gear Trains, Cams, and Tendon-Driven Mechanisms.

  • Kinematic Inversion and Derived Mechanisms:
    • Grashof’s rule: Quadrilaterals and Crank Mechanisms;
    • Aronhold-Kennedy Theorem.

  • Kinematic Analysis of Planar Mechanisms:
    • Graph-numeric Methods: Polar Diagrams and Bresse circles;
    • Analytical Method: Loop Closure Equations;
    • Application Examples.

  • Articulated Mechanisms:
    • Path-generating Mechanisms;
    • Stationary Curvature Cubic and Center points;
    • Ball Point.

  • Classical Mechanisms:
    • Cardan, Watt, Scott-Russell, Roberts, Chebyshev, Evans Mechanisms;
    • Roberts-Chebyshev Theorem;
    • Dwell and Long-dwell Mechanisms;
    • Translating Motion Generators (parallel motion);
    • Force Multipliers (presses, crushers, gripping devices).

  • Function Generators;
  • Equations and Freudenstein Theorem;
  • Quick-Return Mechanisms (Fairbairn and Whitworth);
  • Intermittent Motion Mechanisms;
  • Pantographs and inverters;
  • Rigid Body Guidance Mechanisms for 2 and 3 Finite Positions;
  • Graphical and analytical methods by Suh & Radcliffe;
  • Case of Prismatic Pairs;

  • Mechanisms with Higher Pairs:
    • Conjugate Profiles and Euler-Savary Formula for Envelopes;
    • Equivalent Mechanisms;
    • Circle of Regress and Aronhold Theorems;
    • Theory of Planar Curve Envelopes (meshing equation);
    • Cam Mechanism Synthesis;
    • Gear design Synthesis;
    • Camus Theorem (Envelope and Epicyclic Methods).

  • Dynamics of Machines:
    • Inertia Tensor: Eigenvalues and Eigenvectors;
    • Dynamics of Rigid Rotors;
    • Static and Dynamic Balancing;
    • Rotors and Gyroscopic Effect;
    • Flywheel Design and Crank Mechanism Balancing;
    • Critical Bending Speeds and Torsional Pulsations.
ECTS credits
9
Teaching Language
italiano
Exam Language
italiano
Support Materials Language
italiano
Basic Learning Outcomes
Managing Entity (faculty)
Department of Civil and Mechanical Engineering (UNICAS)