Tags: amplitude

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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. 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. 4-060-S-CircuitTuner

    20 Sep 2016 | | Contributor(s):: Brian Winkel

  4. 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...

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