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| − | ===<!--6.4.2-->Contact Physics – Formulas===
  | + | {|  | 
| − |    | + | |'''Editor''':  | 
| − | *'''Constriction resistance'''  
  | + | |DODUCO Holding GmbH<br>  | 
| − | : <math>R_e = \rho/2a</math>
  | + | Im Altgefäll 12<br>  | 
| − | (Single spot contact according to Holm; circular touching spot between clean
  | + | 75181 Pforzheim / Germany<br>  | 
| − | contact surfaces)
  | + | Phone +49 (0) 7231 602-0<br>  | 
| − | : <math>R_e = \rho/2Na</math>
  | + | Fax +49 (0) 7231 602-398<br>  | 
| − | (Multi-spot contact according to Holm without influence between the N
  | + | Mail: info@doduco.net<br>  | 
| − | individual spots)
  |   | 
| − | : <math>R_e = \rho/2 x \sum a_i + 3 \pi \rho /32N^2 x \sum \sum (s_ij) i \neq j</math>
  |   | 
| − | (Multi-spot contact according to Greenwood considering the influence between
  |   | 
| − | the spots)
  |   | 
| − |    |   | 
| − | *'''Contact resistance'''
  |   | 
| − | : <math>R_K = R_e + R_f</math>
  |   | 
| − |    |   | 
| − | *'''Path resistance''' 
  |   | 
| − | : <math>R_d = R_b + R_K</math>
  |   | 
| − |    |   | 
| − | *'''Contact resistance and contact force'''
  |   | 
| − | : <math>R_K = 280\rho \sqrt[3]{E (F_K \cdot r)} </math> 
  |   | 
| − | (According to Holm model for film-free spherical contact surfaces with plastic
  |   | 
| − | deformation of the contact material; F<sub>k</sub> < 1 N for typical contact materials)
  |   | 
| − | : <math>R_K = 9000 \rho \sqrt{ H/ F_K}</math>
  |   | 
| − | (According to Holm model for film-free spherical contact surfaces with plastic
  |   | 
| − | deformation of the contact material; F<sub>k</sub> > 5 N for typical contact materials)
  |   | 
| − |    |   | 
| − | *'''Dynamic contact separation''' (without considering magnetic fields caused by the current path) 
  |   | 
| − | : <math>F_A \approx 0,8 xl^2</math>  |   | 
| − | (Rule of thumb with F<sub>A</sub> in N and l in kA)
  |   | 
| − |    |   | 
| − | *'''Contact voltage and max. contact temperature'''
  |   | 
| − | : <math>T_kmax \approx 3200 U_K</math>
  |   | 
| − |    |   | 
| − | *'''Contact resistance at higher contact forces (according to Babikow)''' 
  |   | 
| − | : <math>R_K = cF_k^{-m}</math>
  |   | 
| − | For F<sub>K</sub> between 10 and 200 N<br/>
  |   | 
| − | c = material dependent proportionality factor<br/>
  |   | 
| − | m = shape dependent exponent of the contact force
  |   | 
| − |    |   | 
| − |    |   | 
| − | {| class="twocolortable scalable" style="text-align: left; font-size: 12px; width:45%;"
  |   | 
|   | |-  |   | |-  | 
| − | !Material combination 
  | + | |'''Managing Directors''':  | 
| − | !c
  | + | |  | 
|   | + | Dr. Hans-Joachim Dittloff (Vorsitzender)<br>  | 
|   | + | Dr. Franz Kaspar<br>  | 
|   | + | Hajo Kufahl<br>  | 
|   | |-  |   | |-  | 
| − | |Copper - Copper   | + | |'''Registration''':  | 
| − | |(0.08 bis 0.14) x 10<sup>-3</sup>  | + | |HRB 710592 AG Mannheim  | 
|   | |-  |   | |-  | 
| − | |Aluminum - Aluminum  | + | |'''Consulting and Realisation''':  | 
| − | |(3 bis 6,7) x 10<sup>-3</sup>  | + | |Steinbeis - Transferzentrum Unternehmensentwicklung an der Hochschule Pforzheim (SZUE)<br>  | 
|   | + | Blücherstraße 32 <br>  | 
|   | + | 75177 Pforzheim <br>  | 
|   | + | https://www.szue.de/  | 
|   | |-  |   | |-  | 
| − | |Brass - Brass   | + | |'''Revision and German version''':  | 
| − | |0.67 x 10<sup>-3</sup>
  | + | |Christian Teitscheid - Teitscheid Freelance IT<br>  | 
|   | + | Barbarastraße 22 <br>  | 
|   | + | 47495 Rheinberg <br>  | 
|   | + | http://www.teitscheid-freelance.de/  | 
|   | |-  |   | |-  | 
| − | |Steel – Silver
  |   | 
| − | |0.06 x 10<sup>-3</sup>
  |   | 
| − | |-
  |   | 
| − | |Steel – Copper
  |   | 
| − | |3.1 x 10<sup>-3</sup>
  |   | 
| − | |-
  |   | 
| − | |Steel – Brass
  |   | 
| − | |3.0 x 10<sup>-3</sup>
  |   | 
| − | |}
  |   | 
| − | 
  |   | 
| − | {| class="twocolortable scalable" style="text-align: left; font-size: 12px; width:45%; "
  |   | 
| − | |-
  |   | 
| − | !Contact shapes 
  |   | 
| − | !m
  |   | 
| − | |-
  |   | 
| − | |Flat – Flat 
  |   | 
| − | |1
  |   | 
| − | |-
  |   | 
| − | |Pyramid – Flat
  |   | 
| − | |0.5
  |   | 
| − | |-
  |   | 
| − | |Sphere – Flat 
  |   | 
| − | |0.6
  |   | 
| − | |-
  |   | 
| − | |Sphere – Sphere
  |   | 
| − | |0.5
  |   | 
| − | |-
  |   | 
| − | |Multi-strand brush - Flat
  |   | 
| − | |1
  |   | 
| − | |-
  |   | 
| − | |Current bar (Busbar) contact
  |   | 
| − | |0.5 - 0.7
  |   | 
|   | |}  |   | |}  | 
| − | <div class="clear"></div>
  |   | 
| − | 
  |   | 
| − | ==References==
  |   | 
| − | [[Application Tables and Guideline Data for Use of Electrical Contact Design#References|References]]
  |   | 
| − | 
  |   | 
| − | [[de:Formeln_aus_der_Kontaktphysik]]
  |   |