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ME
311
Theory of Machines
Graphical, analytical and computer aided analysis and synthesis of basic mechanism, cam design, analysis and design of gears, gear trains.
Prerequisites:
0600203
0630311
(3-0-3)

Text Book:

  1. C. E. Wilson and J. P. Sadler, Kinematics and Dynamics of Machinery, 3rd Edition, Prentice-Hall, 2003.
  2. W. Cleghorn and N. Dechev, Mechanics of Machines, 2nd Edition, Oxford University Press, 2014.

References:

  1. H.H. Mabie and C.F. Reinholtz, Mechanics and Dynamics of Machinery, 4th Edition, John Wiley, 1987
  2. K.J. Waldron and G.L. Kinzel, Kinematics, Dynamics, and Design of Machinery, 2nd Edition, John Wiley & Sons, 2004.
  3. J. Uicker, G. Pennok, and J. Shigley, Theory of Machines and Mechanism, 4th Edition, Oxford University Press, 2010.

Coordinator:

Dynamics and Control TAG

Prerequisites by Topics:

  1. Assembly drawing, geometry, and calculus.
  2. Kinematics and dynamics of rigid bodies.

Learning Objectives[^1]:

  1. Introduce the basic concepts of mechanisms and machines and the function of common mechanisms used in the transformation of motion, in the transmission of loads and in the transfer of energy. (1)
  2. Apply kinematics of rigid bodies to the analysis of motion of common mechanisms, analytically/graphically, and using numerical software. (1)
  3. Apply the laws of dynamics to analyze the forces involved in the common mechanisms. (1)
  4. Apply design principles to design mechanisms for specified purposes, based on kinematic considerations. (1,2)
  5. Describe and discuss the characteristics and functions of a number of mechanisms not covered in lectures. (1,7)

Topics:

  1. Introduction to Mechanisms
  2. Analyses and Synthesis of Common Linkages
  3. Cams: Graphical/Analytical Design
  4. Analysis and Design of Gears (Spur, Helical, Worm, Bevel).
  5. Analysis and Design of Gear Trains.

[^1] Numbers in parenthesis refer to the student outcomes.

Computer Usage:

  1. Students are requested to use the computer analysis, synthesis and animation of mechanisms.
  2. Design of a linkage or of a cam using computer.

Evaluation Methods:

  1. Exams
  2. Quizzes
  3. Homework
  4. Project

Learning Outcomes:

Upon completion of this course, students will be able to:

Objective 1

1.1 determine the degree of freedom of a mechanism.

1.2 recognize the various mechanisms in a machine or in a mechanical system and to identify them with the mechanisms commonly used.

Objective 2

2.1 calculate the displacement, velocity and acceleration of the various links of a mechanism using analytical methods such as vectors or complex variables, or graphical methods.

2.2 solve the governing equations numerically by writing their own program or using any available numerical software to perform parametric study to visualize the motions of some linkages.

Objective 3

3.1 identify the forces involved in the various types of gears.

Objective 4

4.1 design simple linkages to transform motion.

4.2 design cams to achieve specified motions of the follower using graphical, analytical and computational methods.

4.3 design a gear train (involving spur, helical, worm, bevel gears and planetary gear trains) to realize a specified speed ratio between specified input and output points, with the analysis of all the forces and torques involved.

Objective 5

5.1 understand the function of common mechanisms not covered in lectures (e.g. Pantograph, swash plate, Wankel engine, variable-stroke pump, differential screw, cluthes, steering linkage, robotic manipulators), and analyze them kinematically by self-learning.

Course Classification

Student Outcomes Level Relevant Activities
1. An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics. H Analysis of mechanisms; calculus, geometry: trigonometry, theory of envelopes, complex analysis, vector calculus, Modeling of mechanisms. Output-Input relations. Force analysis of gears.
2. An ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors. M Design of mechanisms (linkages, cams, gears) for specified purposes.
3. An ability to communicate effectively with a range of audiences. L Term Project
4. An ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts.
5. An ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives.
6. An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions.
7. An ability to acquire and apply new knowledge as needed, using appropriate learning strategies. M Self-study of mechanisms not covered in lectures.