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Purdue School of Engineering and Technology

Purdue School of Engineering and Technology

Advanced Dynamics

ME 56200 / 3 Cr. (3 Class)

Dynamics of multiple-degrees-of-freedom mechanical systems. Holonomic and nonholonomic constraints. Lagrange’s equations of motion. Hamilton’s principle for holonomic systems. Kinematics and kinetics of rigid-body motion, including momentum and energy methods, linearized equations of motion. Classification of vibratory systems: gyroscopic, circulatory forces. Stability of linear systems: divergence and flutter. Applications to gyroscopes, satellite dynamics, etc.

Textbooks

D. Greenwood, Principles of Dynamics, 2nd Edition, Prentice Hall

Outcomes

After completing this course, students should be able to:

  • Demonstrate understanding and correct application of Newtonian and analytical mechanics principles
  • Solve dynamics problems involving spatial systems of particles and systems of rigid bodies
  • Use the derivation and application of kinematic relations in moving frames for various coordinate systems
  • Use work-energy and impulse-momentum principles
  • Solving analytical mechanics equation of motion including Lagrange’s equations and Hamilton’s principle.
Topics
  • Vector Analysis
  • Newton's Laws of motion
  • D'Alembert's Principle
  • Kinematics of a Particle
  • Dynamics of a Particle
  • Dynamics of a System of Particles
  • Orbital Mechanics
  • Lagrange's Equations
  • Analtyical Mechanics
  • Rigid Body Motion
  • Dynamics of a rigid body