Tags: vibration

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  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. 3-072-S-EarthQuake Part I

    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 system. In this activity, students will analyze the motion of the roof caused by ground movement. Here we...

  3. 2010-Adams, D. E. - Mechanical Vibration - Class Notes.

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

    Adams, D. E. 2010. Mechanical Vibration Class Notes. West Lafayette IN: Purdue University. 131 pp.From the introduction:"The role of mechanical vibration analysis should be to use mathematical tools for modeling and predicting potential vibration problems and solutions, which are...

  4. 2012-Sharma, P. K. - Transient State Analysis of a damped & forced oscillator.

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

    Sharma, P. K. 2012. Transient State Analysis of a damped & forced oscillator. International Journal of Computers Electrical and Advanced Communications Engineering. 1(2):190-196.Abstract: This paper deals with the behaviour of an oscillator in its initial stage of oscillation. How...

  5. 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...

  6. 2008-Padir, Taskin, Kimberly Muller, Collett Coullard - Teaching Differential Equations in a Diverse Classroom.

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

    Padir, Taskin, Kimberly Muller, Collett Coullard. 2008. Teaching Differential Equations in a Diverse Classroom. ASEE Conference. 13 pp.See https://peer.asee.org/teaching-differential-equations-in-a-diverse-classroom.pdf .Diverse means different kinds of engineering majors. The...

  7. 2009-May, James E. - Nonlinear vibration control of long flexible structures employing intermodal energy transfer (modal damping).  PhD Thesis.

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

    May, James E. 2009. Nonlinear vibration control of long flexible structures employing intermodal energy transfer (modal damping).  PhD Thesis. University of Akron. 314 pp.From the introductionIn the not too distant past, the design philosophy for tall civil structures could be...

  8. 2015-Upreti,  Sandhya  and Ms. Piyali Sarkar - Laplace Transforms and its Applications.

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

    Upreti,  Sandhya  and Ms. Piyali Sarkar.  2015. Laplace Transforms and its Applications. IJIRT. 1(6): 1943-1945.Abstract: Laplace transform is applied in various areas of engineering and science. It is considered as a powerful tool. Laplace transform makes it easier to solve...

  9. 2017-Kandry Keith and Brian Winkel - Modeling in an Engineering Mathematics Class - Tuned Mass Dampers

    04 Mar 2017 | | Contributor(s):: Keith Alan Landry, Brian Winkel

    This talk was presented at the AMS Special Session  on the Modeling First Approach to Teaching Differential Equations at the Joint Mathematics Meetings, 7 January 2017, Atlanta GA USA.This talk discusses how a structural engineering construct, Tuned Mass Dampers, is introduced in a...

  10. 5-040-S-TunedMassDampers-Part II

    17 Sep 2016 | | Contributor(s):: Keith Alan Landry, Brian Winkel

  11. 5-040-S-TunedMassDampers-Part I

    17 Sep 2016 | | Contributor(s):: Keith Alan Landry, Brian Winkel

  12. 1999-Marchand, R. and T. J. McDevitt - Learning Differential Equations by Exploring Earthquake Induced Structural Vibrations: A Case Study

    20 Jun 2015 | | Contributor(s):: T. J. McDevitt, Richard Marchand

    Marchand, R. and T. J. McDevitt. 1999.  Learning Differential Equations by Exploring Earthquake Induced Structural Vibrations: A Case Study.  International Journal of Engineering Education. 15(6): 477-485.See https://www.ijee.ie/articles/Vol15-6/ijee1107.pdf .Article...

  13. 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...