Duhamel Integral | DegreeTutors.com

Simulating crowd vibrations using the Duhamel Integral

In this Python mini-project, you’ll learn about the Duhamel Integral and how it can be used to simulate the dynamic response of a single degree of freedom system. We’ll discuss how to solve the integral and then write some Python code to implement our solution for any arbitrary loading. In the second half of this project, we’re going to use our Duhamel Integral solver to build a crowd loading simulation. This will allow us to simulate the vibration response of a footbridge to pedestrian traffic.