Advanced Dynamics - ME56200
Kinematics of paths and particle motion; kinetics of particles, rigid bodies and multi-body systems; Lagrangian formulation for mechanics of mechanical systems; holonomic and non-holonomic constraints; Lagrange's equations; Hamilton's principle for holonomic systems; classification and stability of vibratory systems; simple applications to vehicle dynamics, orbital motion, robotics.
Learning Objective:
To provide a comprehensive understanding of the principles of dynamics of rigid bodies and multi-body systems, an introductions to ideas of stability, and to develop an ability to analyze such systems
Topics Covered:
Kinematics of paths and particle motion, kinetics of particles, rigid bodies and multi-body systems; momentum and energy methods; linearized equations for mechanical systems; Lagrangian formulation for mechanics of mechanical systems; holonomic and non-holonomic constraints; Lagrange's equations; Hamilton's principle for holonomic systems; classification and stability of vibratory systems; applications to vehicle dynamics, orbital motion, robotics.
Prerequisites:
Vectors and matrices; linear algebra and elements of ordinary differential equations--material covered in most undergraduate curricula in mechanical engineering and physics; undergraduate course in dynamics.
Applied / Theory:
30 / 70
Web Address:
Homework:
Homework will be assigned at completion of major topics. Approximately 6-8 homeworks will be assigned. Homeworks may be submitted via the blackboard website for the course.
Projects:
Not required.
Exams:
One (1-hour) midterm exam and one (two-hour) final exam.
Textbooks:
Required--D.T. Greenwood, "Principles of Dynamics," Prentice-Hall, 1988, ISBN 013-709-9819.
Computer Requirements:
ProEd minimum computer requirements.
Other Requirements:
None.