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wavedef

PURPOSE ^

Wave definitions and nomenclature

SYNOPSIS ^

This is a script file.

DESCRIPTION ^

 WAVEDEF Wave definitions and nomenclature 
 
  Definition of trough and crest: 
 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  A trough (t) is defined as the global minimum between a
  level v down-crossing (d) and the next up-crossing (u)  
  and a crest (c) is defined as the global maximum between a
  level v up-crossing and the following down-crossing.
 
  Definition of down- and up -crossing waves: 
 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  A level v-down-crossing wave (dw) is a wave from a 
  down-crossing to the following down-crossing.
  Similarly, a level v-up-crossing wave (uw) is a wave from an up-crossing 
  to the next up-crossing.
 
  Definition of trough and crest waves: 
 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  A trough-to-trough wave (tw) is a wave from a trough (t) to the 
  following trough. The crest-to-crest wave (cw) is defined similarly.
  
  Definition of min2min and Max2Max wave:
 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  A min2min wave (mw) is defined starting from a minimum (m) and  
  ending in the following minimum.
  Similarly a Max2Max wave (Mw) is thus a wave from a maximum (M) 
  to the next maximum (all waves optionally rainflow filtered).
 
            <----- Direction of wave propagation
 
 
    <------Mw-----> <----mw---->
    M             : :  c       :
   / \            M : / \_     :     c_            c
  F   \          / \m/    \    :    /: \          /:\  
 ------d--------u----------d-------u----d--------u---d-------- level v
        \      /:           \  :  /: :  :\_    _/  : :\_   L
         \_   / :            \_t_/ : :  :  \t_/    : :  \m/
           \t/  <-------uw---------> :  <-----dw----->
            :                  :     :             : 
            <--------tw-------->     <------cw----->              
 
  (F= first value and L=last value).
 
  See also  tpdef, crossdef, dat2tc, dat2wa, dat2crossind

CROSS-REFERENCE INFORMATION ^

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SOURCE CODE ^

001 %WAVEDEF Wave definitions and nomenclature 
002 %
003 % Definition of trough and crest: 
004 %~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
005 % A trough (t) is defined as the global minimum between a
006 % level v down-crossing (d) and the next up-crossing (u)  
007 % and a crest (c) is defined as the global maximum between a
008 % level v up-crossing and the following down-crossing.
009 %
010 % Definition of down- and up -crossing waves: 
011 %~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
012 % A level v-down-crossing wave (dw) is a wave from a 
013 % down-crossing to the following down-crossing.
014 % Similarly, a level v-up-crossing wave (uw) is a wave from an up-crossing 
015 % to the next up-crossing.
016 %
017 % Definition of trough and crest waves: 
018 %~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
019 % A trough-to-trough wave (tw) is a wave from a trough (t) to the 
020 % following trough. The crest-to-crest wave (cw) is defined similarly.
021 % 
022 % Definition of min2min and Max2Max wave:
023 %~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
024 % A min2min wave (mw) is defined starting from a minimum (m) and  
025 % ending in the following minimum.
026 % Similarly a Max2Max wave (Mw) is thus a wave from a maximum (M) 
027 % to the next maximum (all waves optionally rainflow filtered).
028 %
029 %           <----- Direction of wave propagation
030 %
031 %
032 %   <------Mw-----> <----mw---->
033 %   M             : :  c       :
034 %  / \            M : / \_     :     c_            c
035 % F   \          / \m/    \    :    /: \          /:\  
036 %------d--------u----------d-------u----d--------u---d-------- level v
037 %       \      /:           \  :  /: :  :\_    _/  : :\_   L
038 %        \_   / :            \_t_/ : :  :  \t_/    : :  \m/
039 %          \t/  <-------uw---------> :  <-----dw----->
040 %           :                  :     :             : 
041 %           <--------tw-------->     <------cw----->              
042 %
043 % (F= first value and L=last value).
044 %
045 % See also  tpdef, crossdef, dat2tc, dat2wa, dat2crossind
046 
047 % history:
048 % revised pab 21.01.2000
049 % -  changed  from: Wave propagating direction 
050 %               to: Direction of wave propagation
051 % by Per A. Brodtkorb 19.09.1999
052 
053 more on
054 help wavedef
055 more off
056

Mathematical Statistics
Centre for Mathematical Sciences
Lund University with Lund Institute of Technology

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