Tags: damp

Modeling Scenarios (1-5 of 5)

  1. 3-073-S-EarthQuake Part II

    06 Aug 2021 | | Contributor(s):: Tracy Weyand

    This modeling scenario considers a one-story building as a simple structure; the roof is modeled as a single point mass. Movement of the roof can be modeled similar to a mass-spring-damper system. In this activity, students will analyze motion of the roof under different damping and vibration...

  2. 4-055-S-ShatterWineGlass

    20 Aug 2018 | | Contributor(s):: Jue Wang

    This module takes students through real life scenarios to examine resonance and its destructive power using differential equation models. What is resonance? How does it happen? Why is it important? Three cases are presented: shattering a wine glass, collapse of a suspension bridge, and crash of...

  3. 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.

  4. 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.

  5. 9-012-S-PDEGuitarTuning

    04 Jun 2015 | | Contributor(s):: Brian Winkel

    We present a derivation of  a partial differential equation which models the motion of a string held at both ends, a case of the one-dimensional wave equation. We immediately offer  numerical solutions in a computer algebra system (we use Mathematica, but any...