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0542-4420

Theory of machines

Also listed as: תורת המכונות

Linkages, cams and gears analysed and then synthesised. The course that makes a mechanism something you can specify rather than something you copy.

Semester
Semester A
Weekly hours
4h
Counts as
Core: systems
Interest areas
Mechanical design · Mechatronics and robotics

Comes after

  • Rigid body dynamics
  • Mechanics of solids 1

Opens up

What it covers

Kinematic analysis

  • Mechanisms and kinematic pairs, mobility by Kutzbach and Grübler
  • Grashof's law and kinematic inversions
  • Position, velocity and acceleration of linkages: graphical polygons, instant centres, loop-closure
  • Coriolis component and where students lose marks on it
  • Four-bar and slider-crank, quick-return mechanisms, transmission angle

Synthesis, cams and gears

  • Two- and three-position synthesis, function, path and motion generation
  • Coupler curves, Chebyshev spacing
  • Cams: displacement diagrams, SVAJ, cycloidal and harmonic follower motion, pressure angle, undercutting
  • Gears: involute geometry, interference, contact ratio
  • Gear trains: simple, compound, epicyclic, and their ratios

Forces and balancing

  • Static and dynamic force analysis
  • Flywheels and speed fluctuation
  • Balancing of rotating and reciprocating masses
  • Gyroscopic effects, friction in bearings, clutches, brakes and belts

Results worth carrying out

  • Kutzbach mobility

    DOF=3(n−1)−2j1−j2\mathrm{DOF} = 3(n-1) - 2j_1 - j_2
  • Grashof condition

    s+l≤p+qs + l \le p + q
  • Balancing a rotor

    ∑mr=0,∑mrl=0\sum m r = 0, \qquad \sum m r l = 0

Figures worth knowing

  • Four-bar and slider-crank diagrams
  • Velocity and acceleration polygons
  • Cam SVAJ diagrams
  • Involute gear-tooth geometry
  • Epicyclic train schematics

Quick answers

When is Theory of machines taught?

Theory of machines (0542-4420) is taught in Semester A (fall), 4 weekly hours. It counts toward “Core: systems” in the Tel Aviv University Mechanical Engineering elective requirements.

What do I need before 0542-4420?

Before Theory of machines you need: Rigid body dynamics, Mechanics of solids 1.

What software is used in Theory of machines?

Theory of machines is normally taught with MATLAB, SolidWorks Motion, MSC ADAMS.

Which jobs does Theory of machines prepare you for?

Theory of machines is part of the preparation for these roles: Mechanical design engineer.

Which interest areas include Theory of machines?

Theory of machines sits in these interest areas: Mechanical design, Mechatronics and robotics.

Related courses

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The topic outlines are not official syllabi. The university publishes a catalogue blurb per course, not lecture-by-lecture material, so each outline describes what a course of that name, at those hours, with those prerequisites teaches at engineering schools generally, cross-checked against the standard textbook for the subject. Treat it as an informed map, not as a transcript of the lectures.