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EJSS ammeter circular coil damping model with critical damping
http://weelookang.blogspot.sg/2014/03/ejss-ammeter-angular-coil-damping-model.html
source: https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_src_SHMcoil.zip
author: lookang
author of EJSS 5.0 Francisco Esquembre
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EJSS ammeter circular coil damping model with critical damping
http://weelookang.blogspot.sg/2014/03/ejss-ammeter-angular-coil-damping-model.html
source: https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_src_SHMcoil.zip
author: lookang
author of EJSS 5.0 Francisco Esquembre
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EJSS SHM model with resonance showing Amplitude vs frequency graphs, heavy damping (RED)
frequency ratio for better x azes values
https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_model_SHMresonance01/SHMresonance01_Simulation.html
source: https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_src_SHMresonance01.zip
source: https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_src_SHMresonance.zip
author: lookang
author of EJSS 5.0 Francisco Esquembre
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No damping
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| EJSS ammeter circular coil damping model with no damping http://weelookang.blogspot.sg/2014/03/ejss-ammeter-angular-coil-damping-model.html https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_model_SHMcoil/SHMcoil_Simulation.html source: https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_src_SHMcoil.zip author: lookang author of EJSS 5.0 Francisco Esquembre |
Very light damping
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| EJSS ammeter circular coil damping model with very light damping http://weelookang.blogspot.sg/2014/03/ejss-ammeter-angular-coil-damping-model.html https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_model_SHMcoil/SHMcoil_Simulation.html source: https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_src_SHMcoil.zip author: lookang author of EJSS 5.0 Francisco Esquembre |
Light damping
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| EJSS ammeter circular coil damping model with light damping http://weelookang.blogspot.sg/2014/03/ejss-ammeter-angular-coil-damping-model.html https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_model_SHMcoil/SHMcoil_Simulation.html source: https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_src_SHMcoil.zip author: lookang author of EJSS 5.0 Francisco Esquembre |
Moderate damping
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| EJSS ammeter circular coil damping model with moderate damping http://weelookang.blogspot.sg/2014/03/ejss-ammeter-angular-coil-damping-model.html https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_model_SHMcoil/SHMcoil_Simulation.html source: https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_src_SHMcoil.zip author: lookang author of EJSS 5.0 Francisco Esquembre |
Critical damping
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| EJSS ammeter circular coil damping model with critical damping http://weelookang.blogspot.sg/2014/03/ejss-ammeter-angular-coil-damping-model.html https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_model_SHMcoil/SHMcoil_Simulation.html source: https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_src_SHMcoil.zip author: lookang author of EJSS 5.0 Francisco Esquembre |
Heavy damping
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| EJSS ammeter circular coil damping model with heavy damping http://weelookang.blogspot.sg/2014/03/ejss-ammeter-angular-coil-damping-model.html https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_model_SHMcoil/SHMcoil_Simulation.html source: https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_src_SHMcoil.zip author: lookang author of EJSS 5.0 Francisco Esquembre |
Wikipedia
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| http://upload.wikimedia.org/wikipedia/commons/9/9c/Ampere-o-meter-vintage-HDR-0h.jpg |
my edited version:
YJC note
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| 2) Moving-coil meters Critical damping is an important feature of moving-coil meters which are used to measure current and voltage. When the reading changes, it is of little use if the pointer oscillates for a while or takes too long to settle down to the new reading. The new reading must be taken quickly in case it changes again. Thus, a pointer is critically damped to allow it to move to the correct position immediately whenever a current flows through it or a voltage is applied across it. |
The equations that model the motion of the car suspension spring mass system are:
$ F = - k (\theta - \theta_{0}) $
where $ F $ is the restoring elastic force exerted by the spring (in SI units: N), k is the spring constant (N·m−1), and $ \theta $ is the displacement from the equilibrium position $ \theta_{0} $ (in radians).
Thus, this model assumes the following ordinary differential equations:
$ \frac{\delta \theta }{\delta t} = \omega $
$ \frac{\delta \omega }{\delta t} = -\frac{k}{m} (\theta - \theta_{0}) - b\frac{\omega}{m} + $
where the terms
$ -\frac{k}{m} (\theta - \theta_{0}) $ represents the restoring force component as a result of the coil spring extending and compressing.
$ - b\frac{\omega}{m}$ represents the damping force component as a result of dampers retarding the car mass's motion.
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