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  1. Remote Teaching Module - Car Suspensions

    28 Jul 2020 | General Resources | Contributor(s): Karen Bliss

    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. Remote Teaching Module - Car Suspensions

    28 Jul 2020 | General Resources | Contributor(s): Karen Bliss

    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....

  3. 3-105-S-FrequencyResponse

    22 Jul 2020 | Modeling Scenarios | Contributor(s): Karen Bliss

    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.

  4. 3-034-T-CarSuspensions

    14 Jul 2020 | Modeling Scenarios | Contributor(s): Karen Bliss

    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...

  5. 3-034-T-CarSuspensions

    14 Jul 2020 | Modeling Scenarios | Contributor(s): Karen Bliss

    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...

  6. 3-034-S-CarSuspensions

    14 Jul 2020 | Modeling Scenarios | Contributor(s): Karen Bliss

    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.

  7. 3-027-S-BobbingDropping

    10 Jul 2020 | Modeling Scenarios | Contributor(s): Karen Bliss

    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.

  8. Remote Teaching Module - Spring Design to Meet Specs at Minimum Costs

    16 Jun 2020 | General Resources | Contributor(s): Karen Bliss

    We place here all the materials in support of the SIMIODE Remote Teaching Module - Spring Design to Meet Specs at Minimum Costs. This  Module is about second order, linear, ordinary differential equations.The class lesson starts with building a model of a spring-mass using...

  9. 1-088-S-RoomTemperature

    15 Jun 2020 | Modeling Scenarios | Contributor(s): Karen Bliss

    Students will analyze temperature variations in a room using Newton's Cooling Law. In this model, the only influence on the indoor temperature is the (oscillating) outdoor temperature (as we assume the heating/cooling system is broken). The main goal of this project is for students to set up...

  10. Remote Teaching Module - Modeling the Spread of Oil Slick

    10 Jun 2020 | General Resources | Contributor(s): Karen Bliss

    We place here and in the Supporting Docs all the materials in support of the SIMIODE Remote Teaching Module - Modeling the Spread of Oil Slick.This module contains1)  (Below and separate file in Supporting Docs) A brief Teaching Guide with an overview of the content and...

  11. 3-031-S-SpringCost

    28 May 2020 | Modeling Scenarios | Contributor(s): Karen Bliss

    This is a situation where we are charged with analyzing costs for a spring to meet certain specifications.

  12. 5-010-S-DNADegradation

    21 Apr 2020 | Modeling Scenarios | Contributor(s): Karen Bliss

    We ask students to use the system of first order linear differential equations given in a source paper and estimates of the data from laboratory procedures from a plot to estimate the parameters and complete the modeling process. Then we seek to compare the results of the final model with...

  13. 2009-NoakeSleigh-AirflowInfectionHospitalWards

    29 Mar 2020 | Potential Scenario Ideas | Contributor(s): Karen Bliss

    2009-NoakeSleigh-AirflowInfectionHospitalWardsNoakes, Catherine J. and P. Andrew Sleigh. 2009. Mathematical models for assessing the role of airflow on the risk of airborne infection in hospital wards. J. R. Soc. Interface. 6: S791-S-800.Abstract: Understanding the risk of...

  14. 1-001d-S-HotelPopulationDecay

    03 Jul 2019 | Modeling Scenarios | Contributor(s): Karen Bliss

    We offer students an opportunity to create a simulation model a hotel population with clients checking in and checking out according to two different disciplines as well as a number of different starting populations in the hotel.

  15. 3-067-S-RLCSeriesCircuit

    28 Apr 2019 | Modeling Scenarios | Contributor(s): Karen Bliss

    In this validation-oriented setup, the second order linear ordinary differential governing equation of a small signal RLC series AC circuit is solved analytically, and the results are compared with the data acquired from analyzing the numerical model (using Multisim).

  16. 7-011-Text-S-CoupledSystemLaplace

    31 Mar 2019 | Technique Narratives | Contributor(s): Karen Bliss

    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...

  17. 1986-Cooke-Linear And Logistic Harvesting Models-Math Modeling Journal

    09 Dec 2018 | Potential Scenario Ideas | Contributor(s): Karen Bliss

    Cook, K. L. and M. Witten. 1986. One-dimensional linear and logistic harvesting models. Mathematical Modeling. 7: 301-340.Abstract: Some of the results in the literature on simple one-dimensional, density dependent, discrete and continuous models-with and without harvesting-are reviewed. Both...

  18. 1-054-S-GrowthInFarmland

    14 Aug 2018 | Modeling Scenarios | Contributor(s): Karen Bliss

    An enriching project developing a model from data with missing temporal information is described. Students fit functions to the data that leads to the creation of a differential equations model, which they then are required to analyze in multiple ways. Different fits, modeling approaches, and...

  19. LeakingBucket: Differential Equations in Engineering

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Karen Bliss

    Differential Equations in Engineering: The Leaking Bucket. Laboratory Experiment. 4 pp.From the Text:7.1 Laboratory ObjectiveThe objective of this laboratory is to learn about first order differential equations and theirapplication to a leaking bucket. 7.2 Educational ObjectivesAfter...

  20. 2003-RasmussenKeynes-LinesOfEigenVectorsSolutionsToSytemsOfLinearDifferentialEquations

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Karen Bliss

    Rasmussen, Chris and  Michael Keynes. 2003. Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations.  PRIMUS. 13(4): 308-320.Abstract: The purpose of this paper is to describe an instructional sequence where students invent a method for locating lines of...