## Tags: resonance

### All Categories (1-7 of 7)

1. 06 Aug 2021 | | Contributor(s):: Tracy Weyand

This modeling scenario considers a one-story building as a simple structure; the roof is modeled as a single point mass. Movement of the roof can be modeled similar to a mass-spring system. In this activity, students will analyze the motion of the roof caused by ground movement. Here we...

2. 20 Mar 2020 | | Contributor(s):: Brian Winkel

Ehrke, John. 2012. Second Order Equations, Three Cases. Presentation. 17 slides. Presentation on the three possible cases corresponding to possible eigenvalues from characteristic equation. nic and concise.

3. 20 Dec 2019 | | Contributor(s):: Gabriel Nagy

This project has three parts, the first part to be done at home, the last two parts in class. In the home part we recall how to solve second order, linear, differential equations with constant coefficients and simple source functions. In the first in-class part we analyze the solutions found at...

4. 20 Aug 2018 | | Contributor(s):: Jue Wang

This module takes students through real life scenarios to examine resonance and its destructive power using differential equation models. What is resonance? How does it happen? Why is it important? Three cases are presented: shattering a wine glass, collapse of a suspension bridge, and crash of...

5. 11 Sep 2017 | | Contributor(s):: Brian Winkel

Morin, David. Oscillations. http://www.people.fas.harvard.edu/~djmorin/waves/oscillations.pdf . Accessed 11 September 2017. Notes. 37 pp.From the first page“A wave is a correlated collection of oscillations. For example, in a transverse wave traveling along a string, each point in...

6. 02 Sep 2017 | | Contributor(s):: Brian Winkel

Cumber. Peter S. 2015. Waggling pendulums and visualization in mechanics. International Journal of Mathematical Education in Science and Technology. 46(4):  611-630.See https://www.tandfonline.com/doi/abs/10.1080/0020739X.2014.987838 .Abstract:  Students often find...

7. 04 Mar 2017 | | Contributor(s):: Keith Alan Landry, Brian Winkel

This talk was presented at the AMS Special Session  on the Modeling First Approach to Teaching Differential Equations at the Joint Mathematics Meetings, 7 January 2017, Atlanta GA USA.This talk discusses how a structural engineering construct, Tuned Mass Dampers, is introduced in a...