
9125SBeamModeling
27 Aug 2021   Contributor(s):: Brody Dylan Johnson
This modeling scenario examines the deflection of a cantilever beam under two different distributed loads. Students will have the opportunity to conduct experiments with their own cantilever beam or use data provided in the student version. A mathematical model for the beam deflection will be...

5036SHalfCarVibration
08 Aug 2021   Contributor(s):: Shengyong Zhang
Vibration vehicle models provide a great opportunity to integrate vehiclebased vibrations into a mechanical engineering vibrations course. This project works on a multipledegreeoffreedom (MDOF) including the pitch and bounce of the vehicle body mounting on a suspension system. The approach...

3092SWirelessPower
04 Aug 2021   Contributor(s):: Maila Hallare, Iordanka Panayotova
This activity presents an engineering application that is modelled by a coupled system of two linear secondorder differential equations with constant coefficients. One of the equations is homogeneous while the other one is nonhomogeneous. The application is called wireless power transmission...

Optimum Matched Filter Design (Transfer Function)
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22 Mar 2021 
Posted by Phil B Brubaker
https://www.simiode.org/members/5865/collections/calculuslevelprogramminglanguageandapps

Engineering Design Optimization using Calculus Level Methods: A Casebook Approach (Manual)
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20 Mar 2021 
Posted by Phil B Brubaker
https://www.simiode.org/members/5865/collections/calculuslevelprogramminglanguageandapps

Phil B Brubaker
My HistoryI attended Oregon State U. and majored 3 years in Electrical Engineering. Then I switched to a Math major for my final years and graduated with a B.S. in Math (1967). Developed...
https://www.simiode.org/members/5865

SIMIODE EXPO 2021  MR2  The Language of Laplace Transforms in an Introduction to Control Theory
23 Feb 2021   Contributor(s):: Kurt Bryan
SIMIODE EXPO 2021  MR2  Kurt Bryan  The Language of Laplace Transforms in an Introduction to Control TheoryKurt Bryan, RoseHulman Institute of Technology, Terre Haute IN USAThis was a presentation made at the SIMIODE EXPO 2021  see program.Abstract: Control...

2020Winkel, Brian  One Liner Laplace
28 Dec 2020   Contributor(s):: Brian Winkel
One liners, hey I got a million of 'em. Probably said by Henny Youngman, a famous 1950's TV Comedian!Another one is, "What's the use of happiness? It can't buy you money ."Henny Youngman Prepared by PROF Brian Winkel, Department of Mathematical...

9015SUnearthingTruth
28 Aug 2019   Contributor(s):: Kurt Bryan
This project introduces electrical resistivity tomography, a technique of interest for geophysical imaging, used to produce images of underground features or structures by using electrical current. Specifically, a known electrical current is injected into an object (for example, the earth) and...

7011TextSCoupledSystemLaplace
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...

7040STankInterruptMixing
22 Aug 2018   Contributor(s):: Norman Loney
We present a differential equation model for the interrupted mixing of a tank with salt water. We offer two solution strategies (1) two step approach and (2) Laplace Transforms.

7020SThermometerInVaryingTempStream
22 Aug 2018   Contributor(s):: Norman Loney
We present a differential equation model for the temperature of a mercury thermometer which is sitting in a stream of water whose temperature oscillates. We suggest a solving strategy which uses Laplace Transforms.

2009Mallett, Travis and Josh Fetbrandt  Differential Equations Class Notes.
11 Sep 2017   Contributor(s):: Brian Winkel
Mallett, Travis and Josh Fetbrandt. 2009. Differential Equations Class Notes. Washington State University.From the Dear Reader opening page of these notes,“These notes were written by two students (Travis Mallett and Josh Fetbrandt) at Washington State University in Fall 2009 and...

2011Shibberu, 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.rosehulman.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...

2017Peletier, L. A.  Ordinary Differential Equations in Pharmacodynamics. Notes.
09 Sep 2017   Contributor(s):: Brian Winkel
Peletier, L. A. 2018 Ordinary Differential Equations in Pharmacodynamics. Notes. 23 pp.See http://www.math.leidenuniv.nl/~peletier/azcourse04.pdf . Accessed 8 September 2017.Good mix of theory, application, solution technique in a number of areas of applications of...

2015Lutzer, Carl V.  Using Expected Value to Introduce the Laplace Transform
09 Sep 2017   Contributor(s):: Brian Winkel
Lutzer, Carl V. 2015. Using Expected Value to Introduce the Laplace Transform. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 25(4): 339348.See https://www.tandfonline.com/doi/abs/10.1080/10511970.2014.977474 .Abstract: We propose an introduction...

2015Upreti, Sandhya and Ms. Piyali Sarkar  Laplace Transforms and its Applications.
08 Sep 2017   Contributor(s):: Brian Winkel
Upreti, Sandhya and Ms. Piyali Sarkar. 2015. Laplace Transforms and its Applications. IJIRT. 1(6): 19431945.Abstract: Laplace transform is applied in various areas of engineering and science. It is considered as a powerful tool. Laplace transform makes it easier to solve...

2017Domokos , Andras  Differential Equations  Theory and Applications – Notes
07 Sep 2017   Contributor(s):: Andras Domokos
Domokos , Andras. 2017. Differential Equations  Theory and Applications – Notes. 126 pp. California State University, Sacramento. See http://www.csus.edu/indiv/d/domokos/diffeq.pdf . Accessed 6 September 2017.The author says in the...

Yogesh Manohar Muley
https://www.simiode.org/members/1899

7010SMultipleDoses
12 Oct 2016   Contributor(s):: Brian Winkel
Two possible multiple dose drug administration regimens are offered for modeling. A drug is to maintain a certain level (above a set minimum and below a set maximum) in the blood stream and one regimen involves bolus injections and the other involves steady drip flow over short periods of time....