ME 6441: Dynamics of Mechanical Systems

Offered Every Fall


Credit Hours: 3-0-3
Prerequisites: ME 3015 or equivalent, or with the consent of the instructor
Catalog Description: Motion analysis and dynamics modeling of systems of particles and rigid bodies in three-dimensional motion.
Textbooks: Jerry H. Ginsberg, Advanced Engineering Dynamics, 2nd Edition, Cambridge University Press, 1998
Instructors: Aldo Ferri, Jerry Ginsberg, John Papastavridis
Topics:
  • Review of particle dynamics: Position, velocity, acceleration, Newton's laws, energy and momentum principles
  • Kinematics of particle motion: Path variables, rectangular and curvilinear coordinate systems
  • Relative motion: Rotation transformations, finite rotations, angular velocity and acceleration, velocity and acceleration in a moving reference frame, Observations From a Moving Reference System
  • Kinematics of rigid bodies: General relations, Chasle's theorem, Eulerian angles, interconnections and constraint conditions, linkages, rolling
  • Newton-Euler Kinetics of a Rigid Body: Fundamental momentum and energy principles for a rigid body, evaluation of angular momentum, inertia properties, equations of three-dimensional motion, Euler's equations, planar motion, application of impulse-momentum and energy principles, systems of rigid bodies
  • Analytical mechanics: Generalized coordinates and degrees of freedom, finite and differential constraints, virtual displacements, generalized forces, hamilton's principle, lagrange's equations
  • Applications: Computational methods, linkages, Coulomb friction, rolling, gyroscopic systems
  • Advanced concepts: Generalized conservation theorems, Hamiltonian and Routhian functions, ignorable coordinates
Grading Scheme (%):

Homework

20

Midterm

30

Final

50