I don't think the main reason is the lack of frets. Fretless acoustic
   guitars, nylon strings or not, are both fretless and plucked and their
   sound is decent, both with regards to tone and sustain.
   On Sun, 30 Jun 2019, 16:59 Miles Dempster,
   <[1]miles.demps...@gmail.com> wrote:

     Violins, violas etc. don't have frets.   When plucked (rather than
     bowed) the string vibration is dampened by the soft fingertip at the
     stopped end. I don't think that the sustain depends significantly on
     how the bridge connects to the soundboard.
     Miles
     > On Jun 30, 2019, at 9:01 AM, Edward Mast
     <[2]nedma...@new-old-mail.cs.dartmouth.edu> wrote:
     >
     > A good question, Dr. Mardinly.   What one notices, though, is that
     when violins, violas, cellos and string basses have their strings
     plucked rather than bowed, the sustain of the note is short (string
     basses doing by far the best, and violins doing the worst with
     pizzicato - plucked notes).   It thus seems to me that the method of
     having the strings stretched over a non-fixed bridge as they are for
     the bowed instruments, works very well for transmitting the
     vibrations of the strings to the instrument when they are bowed, and
     not so well at all when they're plucked.   The fixed bridges with
     strings attached as on guitars, lutes, etc. seems to be the best way
     of transmitting the vibrations to the instrument when the strings
     are plucked, rather than bowed.
     > A luthier's explanation of this would be welcome.
     > Ned
     >
     >> On Jun 29, 2019, at 3:50 PM, John Mardinly
     <[3]john.mardi...@asu.edu> wrote:
     >>
     >> Spot on explanation of what physics does to sound boards. The big
     question that I have never had answered is why do plucked string
     instruments have the string tension carried by the soundboard
     itself, instead of having the string tension carried by the body of
     the instrument via a tailpiece the way violins, violas, cellos and
     string basses do?
     >>
     >> A. John Mardinly, Ph.D., P.E.
     >>
     >>
     >>
     >>
     >>
     >
     >
     >
     >
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   --

References

   1. mailto:miles.demps...@gmail.com
   2. mailto:nedma...@new-old-mail.cs.dartmouth.edu
   3. mailto:john.mardi...@asu.edu
   4. http://www.cs.dartmouth.edu/~wbc/lute-admin/index.html

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