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John B Napp
https://simiode.org/members/5432
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2020-Shelton, Therese - Remote Teaching Module - Car Suspensions
28 Jul 2020 | | Contributor(s):: Therese Shelton
In this modeling activity, students examine the spring-mass-dashpot 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....
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3-105-S-FrequencyResponse
22 Jul 2020 | | Contributor(s):: Brian Winkel
We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.
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3-034-S-CarSuspensions
14 Jul 2020 | | Contributor(s):: Therese Shelton, Brian Winkel
We examine the spring-mass-dashpot that is part of a car suspension, how the ride is related to parameter values, and the effect of changing the angle of installation. We model a "quarter car'', meaning a single wheel.
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1-128-S-RocketFlight
04 Jun 2020 | | Contributor(s):: Brian Winkel
We offer an opportunity to build a mathematical model using Newton's Second Law of Motion and a Free Body Diagram to analyze the forces acting on the rocket of changing mass in its upward flight under power and then without power followed by its fall to earth.
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3-026-S-SpringInverseProblem
29 May 2020 | | Contributor(s):: Brian Winkel
We are given data on the position of a mass in an oscillating spring mass system and we seek to discover approaches to estimating an unknown parameter.
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3-031-S-SpringCost
28 May 2020 | | Contributor(s):: Brian Winkel
This is a situation where we are charged with analyzing costs for a spring to meet certain specifications.
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2017-Brandi, A. C. and R. E. Garcia - Motivating engineering students to math classes: Practical experience teaching ordinary differential equations.
03 Apr 2020 | | Contributor(s):: Brian Winkel
Brandi, A. C. and R. E. Garcia. 2017. Motivating engineering students to math classes: Practical experience teaching ordinary differential equations. IEEE Frontiers in Education Conference. See https://ieeexplore.ieee.org/document/8190489 . Abstract: Teaching...
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2010-Adams, D. E. - Mechanical Vibration - Class Notes.
15 Mar 2020 | | Contributor(s):: Brian Winkel
Adams, D. E. 2010. Mechanical Vibration Class Notes. West Lafayette IN: Purdue University. 131 pp.From the introduction:"The role of mechanical vibration analysis should be to use mathematical tools for modeling and predicting potential vibration problems and solutions, which are...
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2012-Moore, Hassan - Using projects to stimulate learning in mathematics and engineering mathematics courses.
13 Mar 2020 | | Contributor(s):: Brian Winkel
Moore, Hassan. 2012. Using projects to stimulate learning in mathematics and engineering mathematics courses. American Society of Engineering Education. 120th ASEE Annual Conference and Exposition. Paper ID #7658.See...
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3-061-S-ChemEng
27 Nov 2019 | | Contributor(s):: Eric Stachura, Tamara Lozano
Chemical and biomedical applications of differential equationsSPANISH LANGUAGE VERSION We have placed in Supporting Docs a Spanish version of this Student Modeling Scenario. Name will be x-y-S-Title-StudentVersion-Spanish.
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7-011-Text-S-CoupledSystemLaplace
31 Mar 2019 | | Contributor(s):: Mitaxi Pranlal Mehta
Differential equations and Laplace transforms are an integral part of control problems in engineering systems. However a clear explanation of the relationship of Laplace transforms with the differential equation formalism is difficult to find for coupled differential equations. Here we describe...
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Herman, Russell L. 2017. A First Course in Differential Equations for Scientists and Engineers
03 Mar 2018 | | Contributor(s):: Russell L. Herman
Herman, Russell L. 2017. A First Course in Differential Equations for Scientists and Engineers. Text book. 369 pp. http://people.uncw.edu/hermanr/mat361/ODEBook/ODE1.pdf . Accessed 2 March 2018.This is a self-published text book with excellent coverage and solid mathematics and theory to...
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2017-Ramsay, Jim - From Data To Differential Equations
23 Sep 2017 | | Contributor(s):: Brian Winkel
Ramsay, Jim. From Data To Differential Equations. Presentation. 52 slides. Themes: Differential equations are powerful tools for modeling data. There are new methods for estimating differential equations directly from data. Some examples are offered, drawn from...
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1984-Davis, Mark - NumericalMethods - Modeling For Chemical Engineering-Text
09 Sep 2017 | | Contributor(s):: Brian Winkel
Davis, Mark. E. 1984. Numerical Methods and Modeling for Chemical Engineers. NewYork: John Wiley & Sons. 264 pp.From the PrefaceThis book is an introduction to the quantitative treatment of differential equations that arise from modeling physical phenomena in the...
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2011-Shibberu, Yosi - MA211 Differential Equations. Class Notes
09 Sep 2017 | | Contributor(s):: Brian Winkel
Shibberu, Yosi. 2011. MA211 Differential Equations. Class Notes. PowerPoint. 426 slides. https://www.rose-hulman.edu/~shibberu/MA211/Slides.pdf . Accessed 1 September 2017This is a very good set of course slides and the Table of Contents is given here. Since this is a mathematics...
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2009-Martinez-Luaces - Modelling Applications Inverse Modelling
07 Sep 2017 | | Contributor(s):: Brian Winkel
Martinez-Luaces, Victor. 2009. Modelling, applications and inverse modelling: innovations in differential equations courses. Seventh Southern Right Delta Conference. pp. 159-170.Abstract: Differential equations and Laplace transform are widely used to solve problems concerned with...
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2012-Ramsay, Jim - From Data to Differential Equations
07 Sep 2017 | | Contributor(s):: Brian Winkel
Ramsay, Jim. 2012. From Data to Differential Equations. PowerPoint. 52 slides. www.psych.mcgill.ca/misc/fda/files/CRM-Data2DifEquations.ppt . Accessed 6 September 2017. From Slide 2: “The themes Differential equations are powerful tools for modeling data. There are new...
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2014-Fogarty, Tiernan R - Successful modeling motivation for beam equations
04 Mar 2017 | | Contributor(s):: Tiernan R Fogarty
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 presentation illustrates a successful empirical modeling activity for several beam configurations...
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2015-Ryu, Jaeku - ShareTechNote. Engineering Math – Differential Equations.
03 Mar 2017 | | Contributor(s):: Jaeku Ryu
Ryu, Jaeku. 2015. ShareTechNote. Engineering Math – Differential Equations.http://www.sharetechnote.com/html/EngMath_DifferentialEquation.html . Accessed on 31 May 2015.This is a remarkable set of rich resources for engineering education and we note the strong conviction of...