Velocity Dependent Friction: Difference between revisions

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<math>{{formula}}\[\mu  = {\mu _{fast}} - \left( {{\mu _{fast}} - {\mu _{slow}}} \right) \cdot {e^{ - transRate\, \cdot \,\left| v \right|}}\]{{formula}}</math>
<math>{{formula}}\[\mu  = {\mu _{fast}} - \left( {{\mu _{fast}} - {\mu _{slow}}} \right) \cdot {e^{ - transRate\, \cdot \,\left| v \right|}}\]{{formula}}</math>
{{formula}}\[\mu  = {\mu _{fast}} - \left( {{\mu _{fast}} - {\mu _{slow}}} \right) \cdot {e^{ - transRate\, \cdot \,\left| v \right|}}\]{{formula}}





Revision as of 23:20, 23 January 2012




This command is used to construct a VDependent friction model object. It is useful for modeling the behavior of "PTFE" or PTFE-like materials sliding on a stainless steel surface. For a detailed presentation on the velocity dependence of such interfaces please refer to Constantinou et al. (1999).

frictionModel VDependent $frnTag $muSlow $muFast $transRate

$frnTag unique friction model object tag
$muSlow coefficient of friction at low velocity
$muFast coefficient of friction at high velocity
$transRate transition rate from low to high velocity


<math>\[\mu = {\mu _{fast}} - \left( {{\mu _{fast}} - {\mu _{slow}}} \right) \cdot {e^{ - transRate\, \cdot \,\left| v \right|}}\]\[\mu = {\mu _{fast}} - \left( {{\mu _{fast}} - {\mu _{slow}}} \right) \cdot {e^{ - transRate\, \cdot \,\left| v \right|}}\]\[\mu = {\mu _{fast}} - \left( {{\mu _{fast}} - {\mu _{slow}}} \right) \cdot {e^{ - transRate\, \cdot \,\left| v \right|}}\]</math> \[\mu = {\mu _{fast}} - \left( {{\mu _{fast}} - {\mu _{slow}}} \right) \cdot {e^{ - transRate\, \cdot \,\left| v \right|}}\]\[\mu = {\mu _{fast}} - \left( {{\mu _{fast}} - {\mu _{slow}}} \right) \cdot {e^{ - transRate\, \cdot \,\left| v \right|}}\]\[\mu = {\mu _{fast}} - \left( {{\mu _{fast}} - {\mu _{slow}}} \right) \cdot {e^{ - transRate\, \cdot \,\left| v \right|}}\]



EXAMPLE:

frictionModel VDependent 1 0.05 0.163 0.615


REFERENCE:

Constantinou, M.C., Tsopelas, P., Kasalanati, A., and Wolff, E.D. (1999). “Property modification factors for seismic isolation bearings”. Report MCEER-99-0012, Multidisciplinary Center for Earthquake Engineering Research, State University of New York.



Code Developed by: Andreas Schellenberg, University of California, Berkeley.