ME 6441 Dynamics of Mechanical Systems

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.
Textbook:	Jerry H. Ginsberg, Advanced Engineering Dynamics, 2nd Edition, Cambridge University Press, 1998
Instructors:	Aldo Ferri (Fall 2003), Jerry Ginsberg (Fall 2004), John Papastavridis (Fall 2003)

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:

Midterm (30%)

Final (50%)

HW (20%)

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Revised June 2004