How long the string tension last? Here is the answer (maybe)

Discussion in 'Badminton String' started by badder, Jul 29, 2010.

  1. kwun

    kwun Administrator

    Joined:
    Apr 24, 2002
    Messages:
    41,048
    Likes Received:
    2,073
    Occupation:
    BC Janitor
    Location:
    Santa Clara, CA, USA
    i think so, i think 1lb ~= 25Hz or so.

    i updated the graph. another a couple of Hz drop after a today.

    so in total, for ZM62, it drops around 4-5% of the original string tension with zero use.
     
  2. kwun

    kwun Administrator

    Joined:
    Apr 24, 2002
    Messages:
    41,048
    Likes Received:
    2,073
    Occupation:
    BC Janitor
    Location:
    Santa Clara, CA, USA
    that's the plan. the racket has now pretty close to settled at around 1143-1145Hz. i will bring it to badminton tomorrow to see how much it drops after a few hours of play.
     
  3. kwun

    kwun Administrator

    Joined:
    Apr 24, 2002
    Messages:
    41,048
    Likes Received:
    2,073
    Occupation:
    BC Janitor
    Location:
    Santa Clara, CA, USA
    strange sudden drop of tension between 56 and 63 hours. the racket has not been used.

    will use it tonight and report back.
     
  4. jerby

    jerby Regular Member

    Joined:
    Sep 3, 2005
    Messages:
    4,124
    Likes Received:
    37
    Location:
    EU
    can anybody tell me what software thet use to measure the frequency? I have a laptop and USB-microphone and just can't find anything...
     
  5. keith.roche

    keith.roche Regular Member

    Joined:
    Apr 6, 2009
    Messages:
    187
    Likes Received:
    0
    Location:
    Dubai, United Arab Emirates, U
    Setup : 2 x Ti 10s
    String: BG 65 White

    I guess my stringer cheated me.... :D LOL
    I asked stringer A to string my two Ti 10s at 26 lbs. ( Almost 2 weeks back )
    I played a tournament just 4 days back, and ended up breaking the string of one of them.
    I gave it for re stringing at Stringer B and put 24 lbs. ( BG 65 white )


    I compared one of my Ti 10 from Stringer A ( 26 lbs ) and the newly strung Ti 10 from Stringer B ( 24 lbs ).
    Note : The spare Ti 10 from A was barely used.

    To my surprise, the 24 lbs at Stringer B was actually more than the 26 lbs by Stringer A.


    Frequency Analysis Results :

    a. Ti 10 at Stringer A = 1230 Hz
    b. Ti 10 at Stringer B = 1289 Hz

    Now, if the difference of 50 Hz = 1 lb theory is true, then I have about 2 lbs of difference between the rackets. But, there is no way to verify if the tension " as said by the stringer " is same as the " Actual Tension ".
     

    Attached Files:

  6. kwun

    kwun Administrator

    Joined:
    Apr 24, 2002
    Messages:
    41,048
    Likes Received:
    2,073
    Occupation:
    BC Janitor
    Location:
    Santa Clara, CA, USA
    currently the theory is approx around 25Hz/lb. this will vary with different string types and probably different tension. the relationship between frequency and tension is not a straight line but instead square root. however, we are only interested in a vary narrow band so we can approximate it with linear difference.
     
  7. kwun

    kwun Administrator

    Joined:
    Apr 24, 2002
    Messages:
    41,048
    Likes Received:
    2,073
    Occupation:
    BC Janitor
    Location:
    Santa Clara, CA, USA
    after an hour or two of play with my ARC10+ZM62, the frequency dropped from ~1135Hz to 1106Hz. that's more than a pound drop in one evening with a newly strung racket.
     
  8. kwun

    kwun Administrator

    Joined:
    Apr 24, 2002
    Messages:
    41,048
    Likes Received:
    2,073
    Occupation:
    BC Janitor
    Location:
    Santa Clara, CA, USA
    i use something call iAnalyzerLite on the iPhone. i googled for "spectrum analyzer software" and quite a few came up. most are shareware that cost ~$10.
     
  9. keith.roche

    keith.roche Regular Member

    Joined:
    Apr 6, 2009
    Messages:
    187
    Likes Received:
    0
    Location:
    Dubai, United Arab Emirates, U
    I suspect that 25 Hz = 1 lb is false theory.

    From Kwuns Data :

    Tension = 23.5 lbs
    Frequency recorded at 23.5 lbs = 1170 Hz

    The relation Frequency / Pound ( Hz / lb ) = 49.7




    From my data of 24 lbs on Ti 10

    Tension = 24 lbs
    Frequency recorded at 24 lbs = 1289 Hz

    Relation Hz/lb = 53.7


    From the above 2 examples :
    I guess 25 Hz = 1 lb is FALSE.

    More accurate one would be ;
    1 lb = 51 Hz ( +-2 )
     
  10. kwun

    kwun Administrator

    Joined:
    Apr 24, 2002
    Messages:
    41,048
    Likes Received:
    2,073
    Occupation:
    BC Janitor
    Location:
    Santa Clara, CA, USA
    i disagree. as i mentioned, theoretically, the relationship between tension and frequency is not linear but instead square root. therefore it is not correct to just divide the frequency with tension.
     
  11. badder

    badder Regular Member

    Joined:
    Apr 23, 2007
    Messages:
    206
    Likes Received:
    0
    Location:
    CA

    Found two related papers,

    Quote:
    It is shown
    that there is a small loss in tension with time after a racket is strung but there is a large
    decrease in tension during the stringing process. The tension immediately after stringing
    is typically about 30% lower than the pull tension. Additional experiments are
    described, showing that the large drop in tension is due to a combination of factors
    including stress relaxation, frame distortion and friction between the strings.

    http://www.physics.usyd.edu.au/~cross/CrossBower.pdf

    http://www.physics.usyd.edu.au/~cross/StringTension.pdf
     
  12. kwun

    kwun Administrator

    Joined:
    Apr 24, 2002
    Messages:
    41,048
    Likes Received:
    2,073
    Occupation:
    BC Janitor
    Location:
    Santa Clara, CA, USA
    here are some data that illustrate it:

    this is a graph of frequency (vertical axis) vs. tension (horiz axis). i measured it on a single piece of ZM62 (not a whole string bed).

    tension.png

    if you extend the line linearly, it won't intercept at the origin. i did a curve fit of a square root plot, and it fitted perfectly.

    the 25Hz/pound gradient is the gradient around where we are interested in, which is between 20-30lbs.
     
  13. kwun

    kwun Administrator

    Joined:
    Apr 24, 2002
    Messages:
    41,048
    Likes Received:
    2,073
    Occupation:
    BC Janitor
    Location:
    Santa Clara, CA, USA
    well, ok. i updated the graph after tonight's session. the graph should speak for itself what happened... sigh. .62mm don't last very long. :(
     
  14. badder

    badder Regular Member

    Joined:
    Apr 23, 2007
    Messages:
    206
    Likes Received:
    0
    Location:
    CA
    My 62 lasted me a good time on several rackets.
     
  15. Pete LSD

    Pete LSD Regular Member

    Joined:
    Apr 25, 2002
    Messages:
    6,297
    Likes Received:
    13
    Occupation:
    Soul Searching
    Location:
    Canada
    Quadratic relationship?

     
  16. Pete LSD

    Pete LSD Regular Member

    Joined:
    Apr 25, 2002
    Messages:
    6,297
    Likes Received:
    13
    Occupation:
    Soul Searching
    Location:
    Canada
    Why the sudden drop in frequency? Was there major wear and tear shown at that point when the huge drop happened?

     
  17. kwun

    kwun Administrator

    Joined:
    Apr 24, 2002
    Messages:
    41,048
    Likes Received:
    2,073
    Occupation:
    BC Janitor
    Location:
    Santa Clara, CA, USA
    the drop was from around 2hours of badminton.

    another big drop that went to 0 was because i broke the string. i didn't show that as that skewed the scale of the rest of the graph.
     
  18. kwun

    kwun Administrator

    Joined:
    Apr 24, 2002
    Messages:
    41,048
    Likes Received:
    2,073
    Occupation:
    BC Janitor
    Location:
    Santa Clara, CA, USA
    the drop was from around 2hours of badminton.

    another big drop that went to 0 was because i broke the string. i didn't show that as that skewed the scale of the rest of the graph.
     
  19. kwun

    kwun Administrator

    Joined:
    Apr 24, 2002
    Messages:
    41,048
    Likes Received:
    2,073
    Occupation:
    BC Janitor
    Location:
    Santa Clara, CA, USA
    did another one. this time experimenting with lower tension for ZM62. 21.5lbs, 1137Hz.
     
  20. kwun

    kwun Administrator

    Joined:
    Apr 24, 2002
    Messages:
    41,048
    Likes Received:
    2,073
    Occupation:
    BC Janitor
    Location:
    Santa Clara, CA, USA
    1121Hz after 2 hours.
     

Share This Page