MAE 789 Advanced Dynamics II

3 Credit Hours

This course will begin with a review of MAE 511 (Advanced Dynamics I), and then will move on to cover Newton-Euler methods for multi-body systems, Lagrange’s equations, Kane’s equations, Hamilton’s equations, and additional topics as time permits. Students taking the course should have a basic knowledge of Newton-Euler methods and basic three-dimensional kinematics. Students should have a Math background which includes Calculus III and Differential Equations.

Prerequisite

MAE 511 (Advanced Dynamics I)

Course Objectives

The objective of this course is learn concepts of advanced dynamics related to multi-body systems and how to apply them to model the dynamics of engineering systems undergoing rotation and/or translation, such as aerospace vehicles, land-based vehicles, ships, submarines, wind turbines, biomechanical systems, machine tools, and robotic systems. A substantial portion of the course will be devoted to Kane’s equations, a system of generating equations of motion that can significantly simplify the equations needed to describe the motion of multibody systems, including nonholonomic systems.

Course Requirements

The course grade will be based on HW assignments and a course project.

Course Outline

Review of three-dimensional kinematics and Newton-Euler mechanics
Newton-Euler methods for multi-body systems
Lagrange’s equations
Kane’s equations
Hamilton’s equations
Special Topics (as time permits and depending on class interests)

Textbooks

William Tyrrell Thomson, Introduction to Space Dynamics, Dover, 9780486651132

Leonard Meirovitch, Methods of Analytical Dynamics, Dover, 9780486432397

Software Requirements

Matlab, Mathematica

Created: 11/10/2023