Dynamic validation example (#111) #173
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armantekinalp
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Aug 15, 2022
examples/DynamicCantileverCase/dynamic_cantilever_phase_space.py
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examples/DynamicCantileverCase/dynamic_cantilever_visualization.py
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examples/DynamicCantileverCase/dynamic_cantilever_phase_space.py
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examples/DynamicCantileverCase/dynamic_cantilever_visualization.py
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added 6 commits
August 16, 2022 14:27
armantekinalp
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Aug 17, 2022
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Some minor changes. @bhosale2 please look after these changes are implemented
bhosale2
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Aug 17, 2022
examples/DynamicCantileverCase/analytical_dynamic_cantilever.py
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bhosale2
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Aug 17, 2022
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LGTM. @armantekinalp you can finish up with any minor stuff if needed.
armantekinalp
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Aug 17, 2022
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Fixes #111 by adding a dynamic cantilever example.
The example compares the simulated response of cantilever, initialized by modal oscillations at natural frequencies, to Euler-Bernoulli beam theory. The comparison is made with respect to varying densities.
With a given set of parameters, the time-dependent response using the Cosserat model matches the theoretical response in both time and frequency domains (Left: time-dependent cantilever deflection at the tip. Right: corresponding FFT plot).
The example supports modal oscillation up to the first four modes (example using the second mode).
Dynamic_cantilever_mode_2.mp4