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Dynamics of Some Classical System Models

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Dynamics of Some Classical System Models

by Howard Wilson

 

15 Dec 2004 (Updated 20 Dec 2004)

Animated response of some classical systems.

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The animated response of several classical system models is presented. Examples include a) large amplitude pendulum motion b) falling elastic cable c) forced response of a spring-mass-damper system d) vibrating string either released with initial deflection, or shaken at one end, or subjected to a moving load e) beam released with initial deflection f) vibration modes for an elliptic membrane and for a pin-connected truss g) forced wave propagation in rectangular or circular membranes. The analyses employ Runge-Kutta integration, Fourier expansions, and algebraic eigenvalue calculations presented in the book Advanced Mathematics and Mechanics Applications Using MATLAB, 3rd Ed., by Howard Wilson, Louis Turcotte, and David Halpern, CRC Press, 2003.

To see how to run the program, use the command 'type contents' in the workspace containing the program.

MATLAB release MATLAB 7.0.1 (R14SP1)
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Comments and Ratings (9)
24 Dec 2004 tony dinardo

thank you for this early Christmas Present. Cant wait to take apart the mathematics. Very well done!

16 Jan 2005 shafi rahman  
27 Jan 2005 Jor Done

Thanks a lot.

02 May 2005 m d  
17 Dec 2005 rao bin

it is every nice

21 Jan 2007 lee rock

Excellent

20 Apr 2007 hamed nozari  
21 Mar 2008 Thomas Bldr

I don't really understand the values of some constants though (example runchain, gravity = 32.2?), nor why the damping coefficient is devided by 40.
Very nice animations though!

22 Sep 2008 Ed Dcat

Thomas: Gravity is 32.2 ft/s² in standard units.

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Tag Activity for this File
Tag Applied By Date/Time
mechanical modeling Howard Wilson 22 Oct 2008 07:38:13
mathematics Howard Wilson 22 Oct 2008 07:38:13
animated response Howard Wilson 22 Oct 2008 07:38:13
dyn Howard Wilson 22 Oct 2008 07:38:13
editors pick Howard Wilson 22 Oct 2008 07:38:13
animated response Alexander 08 Nov 2009 15:35:10
mechanical modeling Julien 27 Jun 2011 06:28:23

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