Friday, March 28, 2014

EJSS ammeter angular coil damping model

EJSS ammeter angular coil damping model, an original model by lookang
EJSS ammeter circular coil damping model with critical damping
http://weelookang.blogspot.sg/2014/03/ejss-ammeter-angular-coil-damping-model.html
author: lookang
author of EJSS 5.0 Francisco Esquembre

EJSS ammeter circular coil damping model with critical damping
http://weelookang.blogspot.sg/2014/03/ejss-ammeter-angular-coil-damping-model.html
author: lookang
author of EJSS 5.0 Francisco Esquembre



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
author: lookang
author of EJSS 5.0 Francisco Esquembre



No damping

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

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

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

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

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

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

http://upload.wikimedia.org/wikipedia/commons/9/9c/Ampere-o-meter-vintage-HDR-0h.jpg

my edited version:



YJC note

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:

Mathematically, the restoring force $ F $ is given by 

$ 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.