Optimizing a Non-Linear Oscillating Pendulum

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Optimizing a Non-Linear Oscillating Pendulum

• Paul Grandstrand 2007

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Hamline University
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Goals

• Build a model of a non-linear oscillating
  pendulum
• Write a LabVIEW program to optimize the pendulum
  system

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Linear Oscillation
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Non-Linear Oscillation
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Pulse Train

• A series of current pulses sent through the
  solenoid

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Genetic Algorithm

• Used to optimize pulse train
• Randomly generated first generation of pulse
  trains
• Selected pulse trains that gave greatest
  amplitude and modified them to form next
  generation
• This next generation was then used in the next
  iteration of the algorithm

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Engineering Methods
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Engineering Methods
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Engineering Methods
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Engineering Methods
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Pendulum Bob
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Pendulum Bob
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Solenoid
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Damper
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Wiring Diagram
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Wiring Diagram
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Wiring Diagram
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Wiring Diagram
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Wiring Diagram
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Array-to-Pulse-Train
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Array-to-Pulse-Train
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Array-to-Pulse-Train
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Flipper
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Array-to-Pulse-Train
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Notearly
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Array-to-Pulse-Train
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Array-to-Pulse-Train
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Optimized Pendulum
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Amplitude of Generations
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Final Program
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Future Study

• Use my program to optimize the potential energy
  of oscillating nuclei in chemical bonds

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Acknowledgements

• Dr. Andy Rundquist
• Dr. Fred Kroeger
• Hamline University
• Ms. Fruen
• Team Research

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Optimizing a Non-Linear Oscillating Pendulum

• Paul Grandstrand 2007