MAE 315 Dynamics of Machines


Department of Mechanical and Aerospace Engineering

Instructor:     Dr. Jon Ryu (EBIII 3413, 919-515-5235),

Text:   Mechanical Vibrations, 6th Ed., Singiresu S. Rao, 2017

Prerequisites: Grade “C” or better in MAE 208 or CE 215, MA 341

Course Outcomes:

  • Ability to apply knowledge of mathematics, science, and engineering:
    • The subject of vibration applies the knowledge of mathematics (differential equations, matrix algebra, vector methods, and complex numbers) and science (statics and dynamics) to solve engineering vibration problems.
  • Ability to identify, formulate, and solve engineering problems:
    • The numerous illustrative examples, problems for practice, and design projects help identify various types of practical vibration problems and develop mathematical models, analyze, solve to find the response, and interpret the result.
  • Ability to design and conduct experiment, as well as to analyze and interpret data on the vibration problems.


Course Outline:

Review of Kinetics 

Undamped and Damped Free Vibrations
Vibration models; energy;
Rayleigh’s principle

Damped Free Vibrations
Energy dissipation; viscous,
Hysteretic, Coulomb damping

Harmonic Forced Vibrations

Multi-DOF Vibration
Natural freq. and modes; forced responses

Vibration absorbers

Vibration of Continuous Systems
Stretched string vibration
Longitudinal and torsional vibration
Transverse beam vibration

Kinematics and Dynamics of Link mechanisms 

Force Analysis, Virtual Work
Three-bar Crank Slide Linkage
Shaking Force and Torque

Balance of Machines
Static and dynamic balance
Engine balance