Advanced Dynamics
ME 56200/ 3 Cr.
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.
Primary Track: Solid Mechanics & CAE, Mechatronics & Controls
- Available Online: No
- Credit by Exam: No
- Laptop Required: No
Prerequisites/Co-requisites:
Prerequisite: ME 37200, ME 27400 or EEN 24000
Textbooks
Principles of Dynamics, Greenwood, Prentice Hall, 2nd or latest Edition
Outcomes
- 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