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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 5: Fundamentals of Machine Balancing

Lesson 5: Fundamentals of Machine Balancing#

Lesson contents:

  • Lesson 5: Fundamentals of Machine Balancing
    • 1. Introduction: Why do we balance?
    • 2. The Physical Origin: Axes and Forces
    • 3. Types of Unbalance
    • 4. Mathematical Formulation and Simplification
    • 5. Single-Plane Balancing (Static Case)
    • 6. Two-Plane Balancing (Dynamic Case)
    • 7. Analytical Solution Method
  • Example 5.01: Dynamic Balancing
    • Problem Statement
    • 1. Known Data
    • 2. Setting up the Vector Equations
    • 3. Solving the Symbolic System
    • 4. Extracting and Correcting the Results
    • 5. Printing the Final Results

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Lesson 4: Application Examples (Work, MA and Passive Resistances)

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Lesson 5: Fundamentals of Machine Balancing

By Mechanical Engineering, University of Almería

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