Difference between revisions of "VPOD 3DOF Vibratory Device"
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=Nondimensional 3DOF Bouncing Ball Simulator= |
=Nondimensional 3DOF Bouncing Ball Simulator= |
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The Nondimensional 3DOF Bouncing Ball Simulator is a simple Matlab program meant to mimic the behavior of a bouncing ball on a vibratory device capable of sinusoidal motion in three degrees, such as the VPOD. The simulator uses a numerical method in which the equations of motion describing the ball's flight are determined from the state variables of the previous impact. The program uses a binary search to locate the time at which the ball's position in the x,z plane is equal to that of the oscillating bar. In short, it calculates the intersection of a parabola with a sinusoid, uses a simple impact model to compute the new state variables, and repeats this computation as many times as desired. |
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The equations of motion for the oscillating bar are as follows: |
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[[Media:Nondimensional 3DOF Bouncing Ball Simulator.zip|Download the simulator.]] |
[[Media:Nondimensional 3DOF Bouncing Ball Simulator.zip|Download the simulator.]] |
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=Using the VPOD= |
=Using the VPOD= |
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Revision as of 11:41, 11 September 2009
Last modified 11 September, 2009
Nondimensional 3DOF Bouncing Ball Simulator
The Nondimensional 3DOF Bouncing Ball Simulator is a simple Matlab program meant to mimic the behavior of a bouncing ball on a vibratory device capable of sinusoidal motion in three degrees, such as the VPOD. The simulator uses a numerical method in which the equations of motion describing the ball's flight are determined from the state variables of the previous impact. The program uses a binary search to locate the time at which the ball's position in the x,z plane is equal to that of the oscillating bar. In short, it calculates the intersection of a parabola with a sinusoid, uses a simple impact model to compute the new state variables, and repeats this computation as many times as desired. The equations of motion for the oscillating bar are as follows: Download the simulator.
