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Maple

Maple Powertools

These seven Maple lessons teach the theory of damped oscillations and vibrations. The course gives special attention to non-periodic external forcing functions, and gives a thorough treatment of phase curves. The lessons are appropriate for upper-level undergraduate physics courses.

Dr. Alexei V. Tikhonenko of The Institute of Nuclear Power Engineering, Russia, developed the lessons.

Download all 7 lessons (for Maple 9 or Maple 8)
Preview individual lessons below

	Preview
Part 1: General Symbolic Solutions
Part 2: Symbolic Solutions With Initial Conditions
Part 3: Plots of Solutions
Part 4: Forced Oscillations and Resonance
Part 5: Piecewise and Finite-Duration Disturbances
Part 6: Velocity and Acceleration of Oscillations and Phase Curves
Part 7: Analysis of Solutions for Piecewise External Functions

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"Without the Maple software, we would have to spend weeks generating the equations of motion for every experiment. Then the chances that we did it right would basically be near zero. There would always be a mistake somewhere. It is very difficult to set up a dynamic motion model by hand."
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