Dynamics

Abstract

The course offers an introduction to dynamics of engineering systems. The first part focuses on Newtonian dynamics and energy principle to systems of particles and rigid bodies. The second part focuses on the free and forced response of single- and multi-degrees-of-freedom linear systems. Hands-on exercises, computer-based labs and experimental demos will support the theoretical lectures.

Objective

After successful completion of this course the students will be able to: 1. Set up the kinematic description of a system of particles and rigid bodies subject to constraints. 2. Formulate the governing equations of motion of a system particles or of rigid bodies using balance law. 3. Alternative from the above, the student will be able to derive the equations of motion using Lagrange’s equations, d’Alembert’s principle, and Hamilton’s principle. 4. Find the equilibrium configurations of a given system, and perform linearization. 5. Compute the dynamic response of discrete systems to harmonic, periodic, pulse, and impulse excitation using time-history and response-spectrum methods.

Content

Day-by-day course content: Week 1 Day 1 – Recap on Newtonian Dynamics for single particle Day 2 – Kinetics of systems of particles Day 3 – Kinetics of Rigid bodies Day 4 – Analytical mechanics Week 2 Day 6 – Mechanical Vibrations Day 7 – Elements of Structural Vibration - SDOF Day 8 – Elements of Vibration Theory - MDOF Day 9 – State Space Representations Day 10 – Transformations

Resources