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Advanced Engineering Dynamics

Course Description

Interdisciplinary blend of physics, applied mathematics, computational methods, and logic. Thorough treatment of particle and rigid body kinematics and kinetics; various reference frames and relative motion; constrained motion. Focus on computational methods and use of computer software. Inertia properties of rigid bodies and transformation of inertia matrix.

Additional Requirements for Graduate Students:
Both undergraduate and graduate students will undertake a project in which they analyze a dynamic system consisting of interconnected rigid bodies. In addition, all graduate students will be required to write a research paper with a literature review that includes their results from the project. They will also be required to present their findings to the class. The project is to be on a topic closely related to their graduate research field or a personal interest.

Athena Title

Advanced Engineering Dynamics

Prerequisite

ENGR 2130 or ENGR 2130E

Semester Course Offered

Offered every year.

Grading System

A - F (Traditional)

Student learning Outcomes

  • Students will be able to quantify the kinematics of a particle using path variables, Cartesian, and curvilinear coordinate systems.
  • Students will be able to select the optimal kinematic description for any particle motion.
  • Students will be able to perform any combination of translational and rotational coordinate transformations.
  • Students will be able to define constraint equations for the motion of rigid bodies, including linkages.
  • Students will be able to construct and transform inertia matrices.

Topical Outline

  • Basic Concepts: vector operations, Newtonian mechanics
  • Particle Kinematics: path variables, rectangular Cartesian coordinates, curvilinear coordinates, mixed kinematical descriptions
  • Relative Motion: coordinate transformations, moving reference frames
  • Kinematics of Constrained Rigid Bodies: Eulerian angles, interconnections, and linkages
  • Inertial Effects for a Rigid Body: linear and angular momentum, moments and products of inertia, principle axes

Syllabus

Public CV

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