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Machine and Mechanism Theory documentation

Course contents:

  • Lesson 1: Basic concepts on Mechanisms
    • Definitions
    • Links and joints
    • Four bar linkage
    • Six bar linkage
    • Other well-known mechanisms
    • Determining the d.o.f. count
    • DOF solved problems
    • Problems: Determine kinematic chain
  • Lesson 2: Kinematic Analysis
    • Introduction to Kinematic Analysis
    • Position Analysis
    • Velocity Analysis
    • Acceleration Analysis
    • Examples of Mechanism Kinematics
  • Lesson 3: Dynamics
    • Introduction to Dynamic Analysis of Mechanisms
    • Example 3.1
    • Example 3.2
    • Particle dynamics
  • Lesson 4: Work and Energy
    • Lesson 4: Basic Concepts of Work and Energy Applied to Mechanisms
    • Lesson 4: Application Examples (Work, MA and Passive Resistances)
  • Lesson 5: Fundamentals of Machine Balancing
    • Lesson 5: Fundamentals of Machine Balancing
    • Example 5.01: Dynamic Balancing
  • Lesson 6: Introduction to Mechanism Synthesis
    • Lesson 6: Introduction to Mechanism Synthesis
    • Example 6.1
  • Lesson 7: Gear Theory
    • Introduction: Fundamentals of Gear Transmission
    • The Interference Phenomenon
    • Velocity Ratio and Number of Teeth: the Continued-Fraction Method
    • Gear Typology
    • Gear Manufacturing
  • Lesson 8: Gear Trains
    • Introduction and Prerequisite Concepts
    • Epicyclic (Planetary) Gear Trains
  • Lesson 9: Kinematics of Robots
    • Rotation and translation transformations
    • Robot Forward Kinematics Simulator
  • Bibliography
  • Credits
  • .rst

Lesson 1: Basic concepts on Mechanisms

Lesson 1: Basic concepts on Mechanisms#

Lesson contents:

  • Definitions
    • Machines vs Mechanisms
    • Blurry limits: machine vs mechanism
    • Parts of a mechanism
    • Parts of a link
    • Kinematic pairs (Joints)
    • Kinematic chain
    • Abstract and topological analysis of mechanisms
    • Open and closed kinematic chains
    • Mobility and degrees of freedom
    • Equivalent mechanisms
    • Inversions of a mechanism
  • Links and joints
    • Links and joints definitions
    • Degree one (I) joints
    • Degree two (II) joints
  • Four bar linkage
    • Bar names
    • Grashof’s formula
    • Try it yourself!
  • Six bar linkage
    • Stephenson mechanism
    • Watt mechanism
    • Motorbike swingarm
    • Pallet pusher
  • Other well-known mechanisms
    • Crank-rod mechanism
    • Quick return mechanism
    • Ginebra wheel
  • Determining the d.o.f. count
    • Grüebler formula for planar mechanisms
    • Kutzbach’s general formula
    • Practical application of the formula
    • Numbering options
    • Joints with more than two links
    • Exceptions and problematic cases
    • Numerical methods criterion
  • DOF solved problems
    • Example 1
    • Example 2
    • Example 3
    • Example 4
    • Example 5
    • Example 6
    • Example 7
  • Problems: Determine kinematic chain
    • Blind slats
    • Feeder 1
    • Translate without rotation
    • Car trunk
    • Scissor lift
    • Elliptical
    • Motorbike suspension
    • Stacked joints

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