
3026SSpringInverseProblem
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.

2013BoscoloEtAlStudyOfHarmonicAndParametricMotionSpringMass
20 Mar 2020   Contributor(s):: Brian Winkel
2013BoscoloEtAlStudyOfHarmonicAndParametricMotionSpringMassI. Boscolo, F. Castelli, and M. Stellato. 2013. An undergraduate study of harmonic and parametric motion of asimple springmass system from motion waveforms. Dipartimento di Fisica, Universit`a degli Studi di...

2003GivensDirect 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. https://pilotscholars.up.edu/phy_facpubs/6/. Abstract: We propose a simple and inexpensive method to directly observe each...

Ted Theodosopoulos  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, TwoYear College, FourYear Institution at Joint Mathematics Meetings, San Diego CA, 913...

Chapter Nine – Mathematical Models with Differential Equations.
10 Sep 2017   Contributor(s):: Brian Winkel
Chapter Nine – Mathematical Models with Differential Equations. From unknown text. pp. 582622. http://higheredbcs.wiley.com/legacy/college/anton/0470183454/add_materials/mathematical_modeling_with_diff_equations.pdfThis is a rich chapter from unknown text with rich text and...

2011ShibberuDEClassNotes
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 2017 This is a very good set of course slides and the Table of Contents is given here. Since this is a mathematics...

2003FayGrahamCoupledSpringEquations
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): 6579. ABSTRACT Coupled spring equations for modelling the motion of two springs with weights attached, hung in series from the ceiling are described. For the linear model...

3002SModelsMotivatingSecondOrder
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...

3101SSpringMassFirstTry
22 Jul 2016   Contributor(s):: Keith Alan Landry, Brian Winkel

3060SDataToDifferentialEquation
24 Dec 2015   Contributor(s):: Eric Sullivan, Kelly Cline
Students use their knowledge of secondorder linear differential equations in conjunction with physical intuition of springmass 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...