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Kinematics and Dynamics of Machines MECE 3380

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Title: Kinematics and Dynamics of Machines MECE 3380


1
Kinematics and Dynamics of MachinesMECE 3380
  • Bob Freeman
  • 3/1/04

2
ABET Syllabus
  • COURSE OBJECTIVES
  • Master the fundamental concepts of
  • kinematic and dynamic analysis of 1-DOF planar
    mechanisms,
  • kinematic synthesis of 4Bar linkages,
  • and general parametric design and optimization.
  • Understand that the mathematical models used for
    analysis are also used for design.
  • Effective use of math and engineering software
    (e.g., MathCad and Working Model 2D) for
    analysis, simulation, and design of planar
    machines.

3
Topics Subject (of 50 min. lectures)
  • Design
  • Fundamental concepts including joint and link
    types, mobility, classification, and equivalent
    diagrams 4 Language
  • Survey of simple mechanical devices including
    gears, cams, friction drives, and differentials
    6 Comfort food
  • Design theory and methodology (as applied to
    gears) 4 Key concept of unknowns vs. of
    equations
  • Dimensional synthesis of planar 4Bar linkages 9
    This is where they come from.

4
Topics, cont.
  • Analysis
  • 4R 4Bar Analysis including position, velocity,
    acceleration, and force analysis, and shaking
    force and moment balancing 5 Comfortable
    (Dynamics)
  • Geometric Energy based Dynamic modeling of 1DOF
    planar machines 6 New (system level
    characterization variables, no numbers)
  • DYAD based planar mechanism analysis including
    structural formulation, position, velocity,
    acceleration, and force analysis, and dynamic
    modeling 8 Modular construction of complicated
    mechanisms
  • Math and Engineering Software - 0
  • Web-based tutorials for
  • MathCad
  • Working Model 2D
  • ??? MatLab and WM 3D

5
Approach to Student Learning of Software
  • The students must want to learn the software and
    use the tutorial materials.
  • First, hook them with the utility of the software
    to solve problems and understand concepts through
    in-class demonstrations.
  • Then, teach them the software in easily
    digestible bites using asynchronous tutorial
    materials that coincide with course assignments.
  • After being introduced to the basics, students
    are both more likely and more able to use the
    softwares own more encyclopedic materials.

6
Enabling Technology for Asynchronous Materials
  • TechSmiths Camtasia Screen capture with Audio
  • Easy to use
  • Excellent editing features
  • Reasonable file size Roughly 3MB per minute

7
Lecture Summaries
  • Condensed summaries of each lecture are posted on
    the course web-site with links to additional
    asynchronous tutorial material as appropriate.

8
Example Homework Assignment
9
Project Overview
  • Student teams to propose a task that can be
    solved using a 4-Bar linkage.
  • Two (or more) different kinematic solutions
    required.
  • Use Mathcad to obtain analytic solutions, and
    then Working Model 2D to "virtually" verify the
    solutions.
  • Perform a dynamic analysis on one of the
    solutions in one position (state) by hand and
    with Mathcad.
  • Use WM2D to dynamically simulate the mechanism
    and compare link accelerations, joint reaction
    forces, and required motor torque with Mathcad
    results.
  • Compare their two kinematic solutions dynamically
    using WM2D under realistic operating conditions
    for their task and select one as their "optimal"
    design based on some dynamic metric.

10
Sample Project
  • The example project discusses a solution to the
    general task of controlling the motion of a box
    top.
  • Mathcad Script
  • WM Tutorial

11
(No Transcript)
12
CONTRIBUTION OF COURSE OUTCOMES TO DEPARTMENT
OUTCOMES
  • It will be demonstrated that the student
  • 1 is able to use knowledge of mathematics, basic
    sciences and engineering to analyze (identify,
    formulate, and solve) problems in mechanical
    engineering.
  • 3 is able to design mechanical devices, systems
    or processes that meet given specifications.
  • 5 is able to communicate ideas effectively in
    graphical, oral and in written media.
  • 8 is able to use state of the art computational
    hardware and software for analysis, design and
    documentation (techniques, skills, and modern
    engineering tools necessary for engineering
    practice).
  • S2 has the ability to apply advanced mathematics
    to problems involving thermal and mechanical
    systems.
  • S3 has the ability to apply statistics and linear
    algebra to problems involving thermal and
    mechanical systems
  • E2 has the ability to design and analyze
    components and systems for mechanical and energy
    performance.

13
Questions!!!
  • Keep KD as a required course?
  • Replace KD with Modeling?
  • Replace 2nd Chemistry / Physics Elective with
    Modeling?
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