
Remote Teaching Module  Car Suspensions
28 Jul 2020   Contributor(s):: Therese Shelton
In this modeling activity, students examine the springmassdashpot that is part of a car suspension. We model a "quarter car'', meaning a single wheel, and compare effects of different masses, spring constants, damping coefficients, and the angle at which the assembly is installed....

3034TCarSuspensions
14 Jul 2020   Contributor(s):: Therese Shelton, Brian Winkel
In this modeling activity, students examine the springmassdashpot that is part of a car suspension. We model a "quarter car'', meaning a single wheel, and compare effects of different masses, spring constants, damping coefficients, and the angle at which the assembly is...

2014CimbalaDynamicSystemResponse
29 Mar 2020   Contributor(s):: Brian Winkel
2014CimbalaDynamicSystemResponseCimbala, John M. 2014. Dynamic System Response. Notes. 11 pages.IntroductionIn an ideal world, sensors respond instantly to changes in the parameter being measured.In the real world, however, sensors require some time to adjust to changes,...

2018GavinDynamicsOfSimpleOscillators
24 Mar 2020   Contributor(s):: Brian Winkel
2018GavinDynamicsOfSimpleOscillatorsGavin, Henri P. 2018. Dynamics of Simple Oscillators(single degree of freedom systems). Department of Civil and Environmental EngineeringDuke University. Notes. 39 pp.IntroductionThis document describes free and forced dynamic...

4055SShatterWineGlass
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...

MorinOsillations
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 the...

2009MayNodalVibrationControl
09 Sep 2017   Contributor(s):: Brian Winkel
May, James E. 2009. Non0linear vibration control of long flexible structures employing intermodal energy transfer (modal damping). PhD Thesis. University of Akron. 314 pp.From the introductionIn the not too distant past, the design philosophy for tall civil structures could be summarized as...

BobbingObjectInWater
09 Sep 2017   Contributor(s):: Brian Winkel
Introduction to Second Order Linear Equations Bobbing Object in Water. 2 pp.This is a nice treatment of developing a model of a bobbing object in water from first principles with some nice additional questions which would make a nice Modeling Scenario.Keywords: buoyancy, bobbing, water,...

9012SPDEGuitarTuning
04 Jun 2015   Contributor(s):: Brian Winkel
We present a derivation of a partial differential equation which models the motion of a string held at both ends, a case of the onedimensional wave equation. We immediately offer numerical solutions in a computer algebra system (we use Mathematica, but any...