SIMIODE

Resources (1-20 of 24)

1. 2020-Shelton, Therese - Remote Teaching Module - Car Suspensions

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   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....

2. 3-105-S-FrequencyResponse

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   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.

3. 3-034-S-CarSuspensions

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   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.

4. 3-026-S-SpringInverseProblem

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   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.

5. 3-031-S-SpringCost

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   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.

6. 2020-Zammit, Corey, Nirantha Balagopal, Zijun Li, Shenghao Xia, and Qisong Xiao - DynamicsOfElasticPendulum - Report

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   06 Apr 2020 | | Contributor(s):: Brian Winkel

   Zammit, Corey, Nirantha Balagopal, Zijun Li, Shenghao Xia, and Qisong Xiao. THE DYNAMICS OF THE ELASTIC PENDULUMhttps://www.math.arizona.edu/~gabitov/teaching/141/math_485/Midterm_Reports/Elastic_pendulum_midterm_report.pdfThe system of the elastic pendulum consists of a spring, connected...

7. 2014-Cimbala, John M. - Dynamic System Response. Notes.

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   29 Mar 2020 | | Contributor(s):: Brian Winkel

   Cimbala, John M. 2014. Dynamic System Response. Notes. 11 pages.See https://www.me.psu.edu/cimbala/me345/Lectures/Dynamic_systems.pdf .IntroductionIn an ideal world, sensors respond instantly to changes in the parameter being measured.In the real world, however,...

8. 2013-I. Boscolo, F. Castelli, and M. Stellato - An undergraduate study of harmonic and parametric motion of a simple spring-mass system from motion waveforms. 

   out of 5 stars 

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

   I. Boscolo, F. Castelli, and M. Stellato. 2013. An undergraduate study of harmonic and parametric motion of asimple spring-mass system from motion waveforms. Dipartimento di Fisica, Universit`a degli Studi di Milano.  17 pp.See https://arxiv.org/pdf/1208.1126.pdf...

9. 1989-Blickhan, R. - Spring Mass Model For Running-Hopping.

   out of 5 stars 

   13 Mar 2020 | | Contributor(s):: Brian Winkel

   Blickhan, R. 1989. Spring Mass Model For Running-Hopping. J. Biomechanics. 22(11/12): 1217-1227.See https://www.cs.cmu.edu/~hgeyer/Teaching/R16-899B/Papers/Blickhan89JBiom.pdf .Abstract: A simple spring—mass model consisting of a massless spring attached to a point mass...

10. 2003-Givens, Ryan and O. F. de Alcantara Bonfima - Direct observation of normal modes in coupled oscillators.

    out of 5 stars 

    13 Mar 2020 | | Contributor(s):: Brian Winkel

    Givens, Ryan and O. F. de Alcantara Bonfima. 2003. Direct observation of normal modes in coupled oscillators.  From  Physics Commons. See  https://pilotscholars.up.edu/phy_facpubs/6/. Abstract: We propose a simple and inexpensive method to directly...

11. 2007-Bellomo, Nicola , Elena De Angelis, and Marcello Delitala - Lecture Notes on Mathematical Modelling in Applied Sciences

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    03 Mar 2018 | | Contributor(s):: Nicola Bellomo

    Bellomo, Nicola , Elena De Angelis, and Marcello Delitala. 2007.  Lecture Notes on Mathematical Modelling in Applied Sciences, Lecture Notes. 168 pp.See https://staff.polito.it/marcello.delitala/dwd/mechanic_Simai.pdf .From the Opening of the Notes:The Lecture Notes...

12. 2018-Farley, Rosemary and Patrice Tiffany - Time to Change our Traditional Differential Equations

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    19 Jan 2018 | | Contributor(s):: Patrice Geary Tiffany, Rosemary Carroll Farley

    Time to Change our Traditional Differential Equations By  Rosemary Farley and Patrice Tiffany, Manhattan College.A talk given at the AMS Special Session on Modeling in Differential Equations - High School, Two-Year College, Four-Year Institution at Joint Mathematics Meetings,...

13. 2018-Theodosopoulos, Ted - Modeling Challenges for a High School Course on Differential Equations

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    19 Jan 2018 | | Contributor(s):: Ted Theodosopoulos

    Modeling Challenges for a High School Course on Differential EquationsBy Ted Theodosopoulos, The Nueva School.A talk given at the AMS Special Session on Modeling in Differential Equations - High School, Two-Year College, Four-Year Institution at Joint Mathematics Meetings, San Diego...

14. 2012-Rusinko, Joseph and Hannah Swan - Agent-Based Fabric Modeling Using Differential Equations.

    out of 5 stars 

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

    Rusinko, Joseph and Hannah Swan. 2012. Agent-Based Fabric Modeling Using Differential Equations. CODEE Journal. 9(1):1-12.See http://scholarship.claremont.edu/codee/vol9/iss1/7/ . Accessed 10 September 2017.Abstract: We use an agent-based modeling software, NetLogo, to simulate...

15. 2011-Shibberu, Yosi - MA211 Differential Equations. Class Notes

    out of 5 stars 

    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...

16. 2003-Fay, T.H. and S. D. Graham - Coupled spring equations. 

    out of 5 stars 

    08 Sep 2017 | | Contributor(s):: Brian Winkel

    Fay, T.H. and S. D. Graham. 2003. Coupled spring equations.  Int.J. Math. Educ. Sci. Technol. 34(1): 65-79.  See https://www.tandfonline.com/doi/abs/10.1080/0020739021000029258 . ABSTRACT Coupled spring equations for modelling the motion of two springs with...

17. 2017-Stan, Guy-Bart - Modelling in Biology.

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

    2017. Stan, Guy-Bart. Modelling in Biology. Class Notes. Imperial College of London. 71 pp.Keywords: differential equation, model, stability, equilibrium, bifurcation, mass action, spring mass, limit cycles.This is a very rich set of notes, rich in examples and ideas for modeling. In...

18. 3-040-S-FirstPassageTime

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    07 Apr 2017 | | Contributor(s):: Brian Winkel

    We apply the notions of dampedness to second order, linear, constant coefficient, homogeneous differential equations used to model a spring mass dashpot system and introduce the notion of first passage time with several applications.

19. 3-002-S-ModelsMotivatingSecondOrder

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    30 Mar 2017 | | Contributor(s):: Brian Winkel

    We introduce several basic, but substantial, approaches to modeling the motion of a spring mass system using a standard second order, linear, constant coefficient differential equation obtained from Newton's Second Law of Motion and a Free Body Diagram. We do this using a set of data...

20. 3-110-S-MilitarySpringMassApplication

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    25 Feb 2017 | | Contributor(s):: Randy Boucher, Ivan Dungan

    The project is a collection of five different scenarios regarding the shock system of a trailer; the first three are chronological and the latter two are optional independent scenarios. In the first two scenarios, students must compare three different shock absorbers (or shocks) for the trailer....