Tags: spring

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  1. 1989-Blickhan, R. - Spring Mass Model For Running-Hopping.

    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...

  2. 2003-Fay, T.H. and S. D. Graham - Coupled spring equations. 

    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...

  3. 2003-Givens, Ryan and O. F. de Alcantara Bonfima - Direct observation of normal modes in coupled oscillators.

    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...

  4. 2007-Bellomo, Nicola , Elena De Angelis, and Marcello Delitala - Lecture Notes on Mathematical Modelling in Applied Sciences

    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...

  5. 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...

  6. 2012-Rusinko, Joseph and Hannah Swan - Agent-Based Fabric Modeling Using Differential Equations.

    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...

  7. 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. 

    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...

  8. 2014-Cimbala, John M. - Dynamic System Response. Notes.

    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,...

  9. 2017-Stan, Guy-Bart - Modelling in Biology.

    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...

  10. 2018-Farley, Rosemary and Patrice Tiffany - Time to Change our Traditional Differential Equations

    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,...

  11. 2018-Theodosopoulos, Ted - Modeling Challenges for a High School Course on Differential Equations

    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...

  12. 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....

  13. 2020-Zammit, Corey, Nirantha Balagopal, Zijun Li, Shenghao Xia, and Qisong Xiao - DynamicsOfElasticPendulum - Report

    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...

  14. 3-002-S-ModelsMotivatingSecondOrder

    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...

  15. 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.

  16. 3-030-S-SecondOrderIntro

    22 Apr 2016 | | Contributor(s):: Brian Winkel

    SPANISH LANGUAGE VERSION  We have placed in Supporting Docs both Student and Teacher Version (LaTeX and PDF Versions) with a Spanish LaTeX Class file, SIMIODE-SPANISH.cls. Names will be x-y-S-Title-StudentVersion-Spanish and x-y--T-Title-TeacherVersion-Spanish.

  17. 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.

  18. 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.

  19. 3-040-S-FirstPassageTime

    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.

  20. 3-060-S-DataToDifferentialEquation

    24 Dec 2015 | | Contributor(s):: Eric Sullivan, Kelly Cline

    Students use their knowledge of second-order linear differential equations in conjunction with physical intuition of spring-mass systems to estimate the damping coefficient and spring constant from data. The data is presented as {%5Cit total distance traveled} instead of displacement so the...