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Machine and Mechanism Theory

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Course contents:

  • Lesson 1: Basic concepts on Mechanisms
    • Definitions
    • Links and joints: detailed classification
    • Four-bar linkage
    • Six-bar linkage
    • Other well-known mechanisms
    • Determining the d.o.f. count
    • DOF solved problems
    • Problems: Determine the kinematic chain
  • Lesson 2: Kinematic Analysis
    • Introduction to Kinematic Analysis
    • Review of vector algebra
    • Kinematics of points and rigid bodies
    • Position Analysis
    • Velocity Analysis
    • Instantaneous Centers of Rotation
    • Acceleration Analysis
    • Solved examples
      • Example 2.1: Kinematic analysis of a four-bar linkage
      • Example 2.2: Kinematic analysis of a slider-crank mechanism
      • Example 2.3: Kinematic analysis of a quick-return mechanism
      • Example 2.4: Kinematic analysis of an inverted slider-crank mechanism
      • Example 2.5: Kinematic analysis of a six-bar linkage
      • Example 2.6: 2026 exam, exercise 3
      • Example 2.7: Bar with two sliders
      • Example 2.8: Two bars with two sliders
      • Example 2.9: Bicycle suspension
      • Example 2.10: Disc with a sliding collar
      • Example 2.11: Rocker with a pin in a rotating slot
      • Example 2.12: Thumb motion (3D relative motion)
      • Example 2.13: Carousel horse (3D relative motion)
      • Example 2.14: Instantaneous centers of a four-bar linkage
      • Example 2.15: Bicycle suspension (graphical method)
  • Lesson 3: Dynamics
    • Introduction to dynamic analysis
    • Particle dynamics
    • Rigid body dynamics
    • Computing inertias in 2D
    • D’Alembert’s principle
    • Analytical force method
    • Graphical methods
    • Friction forces
    • Solved examples
      • Example 3.1: Robotic gripper (quasi-static analysis)
      • Example 3.2: Disk driven by a piston
      • Example 3.3: Vehicle accelerating on level ground
      • Example 3.4: Slider-crank with the mass at the slider
      • Example 3.5: Graphical static analysis of a four-bar linkage
      • Example 3.6: Inertia forces in a four-bar linkage (graphical method)
      • Example 3.7: Transfer mechanism (complete analysis)
      • Example 3.8: Bar clamp (friction locking)
      • Example 3.9: Two blocks joined by a bar, with friction
      • Example 3.10: Sliding door (rolling and sliding)
  • 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 4: Work and Energy

Lesson 4: Work and Energy#

Lesson contents:

  • Lesson 4: Basic Concepts of Work and Energy Applied to Mechanisms
    • Introduction: The Energy Approach
    • Fundamental Concepts
    • Work-Energy Theorem
    • Mechanical Advantage
    • Application Example: Toggle Position (Crusher)
    • Passive Resistances
    • Efficiency (\(\eta\)) and Actuator Selection
    • Lesson Summary
  • Lesson 4: Application Examples (Work, MA and Passive Resistances)
    • Example 4.1: Ideal Mechanical Advantage (IMA) Analysis via PVW
    • Example 4.2: Friction in Prismatic Joints (Wedge)
    • Example 4.3: Friction in Revolute Joints (Friction Circle)
    • Example 4.4: Efficiency and Overall Power Analysis

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Example 3.10: Sliding door (rolling and sliding)

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Lesson 4: Basic Concepts of Work and Energy Applied to Mechanisms

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