CATALOG DATA:
Fundamental principles and analytical methods in dynamics with applications to machine design, robot analysis and spacecraft control.REFERENCE BOOKS:
Goldstein, H., Classical Mechanics, 2nd ed., 1980. Kane, T.R., and Levinson, D.A., Dynamics: Theory and Applications, 1985. Kane, T.R., Likins, P.W., and Levinson, D.A., Spacecraft Dynamics, 1983. D'Souza, A.F., and Grag, V.K., Advanced Dynamics: Modeling and Analysis, 1984.REQUIREMENTS:
AME 50521 (AME 335) Intermediate Dynamics or equivalentGOALS:
Upon completion of this course a student should be able to: (a) develop the kinematic and dynamic models for any system of rigid and ?exible bodies; (b) derive Lagrange’s equations and Kane’s method; (c) model various external forces and moments, including constraint forces, contact and impact forces, and friction acting on the system; (d) utilize various computer software and programming techniques to build simulations and animations of the motion of systems comprised of rigid and ?exible bodies.Topics:
- Spatial Kinematics -Geometric descriptions of position and orientation
- Generalized coordinates and degrees-of-freedom
- Translational and rotational velocity
- Translational and rotational acceleration
- Mass and moments of inertia
- Constraint, contact, impact and friction forces
- Virtual Work
- Hamilton’s principle, D’Alembert’s principle, variational principles
- Potential and kinetic energy
- Impulse and momentum
- Dynamic Equations -Newton’s, Euler’s, Lagrange’s, Kane’s
- Simulation and animation
ABET category content as estimated by faculty member who prepared the course description:
Engineering Science: 1.5 credits or 50%
Engineering Design: 1.5 credits or 50%Prepared by: Professor Alan P. Bowling
Last Update: June 11, 2004
Direct comments, questions, and corrections to amedept@nd.edu