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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 8: Gear Trains

Lesson 8: Gear Trains#

Lesson contents:

  • Introduction and Prerequisite Concepts
    • When should a gear train be used?
    • A fundamental distinction: Axle vs. Shaft
    • Design Criteria
    • Classification of Gear Trains
    • Ordinary Gear Trains
    • Synthesis of Gear Trains
  • Epicyclic (Planetary) Gear Trains
    • Willis’ Formula and the Apparent Ratio (\(\mu_a\))
    • Classification and Behavior Depending on the Fixed Element
    • Differential Gear Trains
    • The Automotive Differential

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Gear Manufacturing

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Introduction and Prerequisite Concepts

By Mechanical Engineering, University of Almería

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