Tags: second order

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  1. 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.

  2. 3-034-T-CarSuspensions

    14 Jul 2020 | | Contributor(s):: Therese Shelton, Brian Winkel

    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...

  3. 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.

  4. 3-027-S-BobbingDropping

    10 Jul 2020 | | Contributor(s):: Brian Winkel

    We present two exercises from a differential equations text in which we ask students to model (1) falling object experiencing terminal velocity and (2) bobbing block of wood in liquid. We model the motion using Newton's Second Law of Motion and Archimedes' Principle.

  5. 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.

  6. 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.

  7. Transient and Steady State response in RC or RL circuits

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

    Transient and Steady State response in RC or RL circuits . PowerPoint Slides. 54 Slides, This is a presentation to help understand the concepts of Transient and Steady State response in RC or RL circuits . There is detailed technical material and graphs to richly illustrate the clear...

  8. 2013-Sutton-SecondOrderLinearODE's-PartII

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

    2013-Sutton-SecondOrderLinearODE's-PartIIPresentation by Craig J. Sutton, Department of Mathematics, Dartmouth CollegeMath 23 Differential Equations. 2013. 45 slidesCovers basics or undetermined coefficiens and variation of parameters with applications to mechanicl vibrations

  9. 2011-CasaXPS-Mechanics ApplicationsDEs

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

    2011-CasaXPS-Mechanics ApplicationsDEsCasaXPS. 2011 Variable Forces and Differential Equations. www.casaxps.com.     Table of ContentsVariable Forces and Differential Equations  2Differential Equations  3Second Order Linear Differential...

  10. 2012-Ehrke-Second-Order-Equations-Three-Cases

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

    2012-Ehrke-Second-Order-Equations-Three-CasesEhrke, John. 2012. Second Order Equations, Three Cases. Presentation 17 slides.Presentation on the three possible cases corresponding to possible eigenvalues from characteristic equation. nic and concise.

  11. 2008-SanAndres-DynamicResponseSecondOrderMechanicalSystems

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

    2008-SanAndres-DynamicResponseSecondOrderMechanicalSystemsSan Andrés, Luis. 2008. Dynamic Response of Second Order Mechanical Systems with Viscous Response Forces.  MEEN 617 Notes-Presentation. 39 pp.Walk through the cases in context of second order linear constant...

  12. 3-150-S-ItsABlastFurnace

    13 Aug 2019 | | Contributor(s):: Kurt Bryan

    This project uses the steady-state heat equation to model the temperature distribution in an industrial furnace used for metal production, for example, a blast furnace.The heat flow is assumed to be steady-state, so that only an elementary ordinary differential equation (ODE) is needed, and...

  13. 5-005-Text-S-StiffDifferentialEquations

    05 Mar 2019 | | Contributor(s):: Kurt Bryan

    This material introduces the topic of ``stiffness'' for a system of ordinary differential equations (ODE's), through a series of examples.Stiffness is a property that a system of ODE's may possess that make it difficult to solve numerically with standard methods, and it is a...

  14. Farley and 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, San Diego...

  15. 2015-Endale-ApplicationsOfODEsToRealWorldSystems

    26 Nov 2017 | | Contributor(s):: Brian Winkel

    2015. Endale, Mersha Amdie. Some application of first order differential equations to real world system. Masters Thesis. Haramaya University.We quote from the opening by the author,“The subject of differential equations is important part of mathematics for understanding the physical...

  16. 2011-Harwood-Modeling a RLC Circuit

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

    Harwood, Kenny. 2011. Modeling a RLC Circuit’s Current with Differential Equations. Paper. 17 pp.Abstract The world of electricity and light have only within the past century been explained in mathematical terms yet still remain a mystery to the human race. R. Buckminster Fuller said;...

  17. 2009-MallettFetbrandt-Differential Equations Class Notes

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

    Mallett, Travis and Josh Fetbrandt. 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 are intended to...

  18. 2015-PendrillEager-Trampoline Jumping Model

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

    Pendrill. Ann-Marie and David Eager. 2015. Free fall and harmonic oscillations: analyzing trampoline jumps. Physics Education. 50(1): 1-9.http://iopscience.iop.org/article/10.1088/0031-9120/50/1/64/meta . Accessed 5 September 2017. (This is an author-created, un-copyedited version of an...

  19. BobbingObjectInWater

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

    Introduction to Second Order Linear Equations- Bobbing Object in Water. 2 pp.This is a nice treatment of developing a model of a bobbing object in water from first principles with some nice additional questions which would make a nice Modeling Scenario.Keywords:  buoyancy, bobbing, water,...

  20. 2017-Domokos-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.   http://www.csus.edu/indiv/d/domokos/diffeq.pdf . Accessed 6 September 2017.The author says in the Introduction,“Differential Equations is a...

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