MAE 4730 - Intermediate Dynamics

Fall. 3 credits. Letter grades only.

Prerequisite: MATH 2940 or equivalent. Co-meets with MAE 5730.

Staff.

The course emphasizes the classical dynamics of single- and multi-degree-of-freedom systems made up of particles, rigid-objects in 2 and 3 special dimensions. Three approaches are used: the Newton-Euler and Lagrangian approach, both using minimal coordinates, and also a ‘maximal coordinate’ approach using differential algebraic equations (DAEs). The course emphasizes finding equations of motion, solving them analytically (if possible) and numerically; and graphical presentation of solutions, including animations.

Outcome 1: The student will be able to locate the governing equations of motion for a variety of dynamic mechanical systems consisting of particles and rigid objects that might interact with various standard connections (e.g., strings, springs, hinges, rolling, surface sliding) and forces (e.g., gravity, friction, fluid drag).

Outcome 2: The student will be able to solve the simple cases by hand, solve the more complex cases with numerical integration (Matlab), graphically represent the results, including animations.

Outcome 3: The student will be able to check the reasonableness of the results using extreme cases and Laws of Conservation (momentum, angular momentum and energy).

Outcome 4: The student will be able to use principles of Lagrangian mechanics to develop the same governing equations as above for simple conservative systems.

Outcome 5: The student will be able to formulate, setup, numerically solve, and interpret the equations and solutions of a 3D rigid object rotating in space.