Метрология, стандартизация и сертификация. Акмайкин Д.А. - 106 стр.

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МГУ им. Невельского | Владивосток

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106
# ), &!)  , !  p-
)cos(
2
k
p
k
k
kc
ϕϕ
+
=
'*. ( #! ," #! ((&" &!!.
! 2"  &# ) $
)2cos(
22
ϕ
ϕ
+
c
 - #$-
$, ! &#
)3cos(
33
ϕ
ϕ
+
c
−  /1! " (,!-
#" ! . . #.0! &# ), !".0! "
,pk
 -
-. #!$. +, (! & '#$1" &!# &#
) (#&" &  #).0!,  -.0! 1-
/$ (/!.
#!& "- (!$ #!)  +!#!!-
& (/! (#$" &!!,  #! *"!
 2" #&  (#)):
),()( lzfzf
+
≠
 z − ("), &! ) #$ ! +!#!, (!&"
;0 lz
≤
≤
l
− #! #!.
) +!#!!&. !" !
zR ,,
ϕ
! #
(!), & (! T=2l, (!" #!)  #$
+!#!!& #! (#$" &!!
)(zf
! !-
"!& (#!"
,)2/sin()2()(
1
0
zlkcczf
p
k
k
π
=
+≈
 k – ()  " &# *#-!).
! k =1 (  &#
).5,0sin()(
11
lzczf
π
=

0)(
1
=
zf
(!
0
=
z
!
11
)( czf
=
(! z=1.   &# *#-!) /!* -
# '*.0 +!#! ('*$).  &# *#-
-!)
)/sin()(
22
lzczf
π
=
/!*  (#$  (-
#$" &!! ('&'*$). 4 - &# *#-!) (!
#!&!! ! ,*
)/cos()2//sin()(
222
lzclzczf
π
π
π
=
−
=
 -
#'*$ ! . . 
                                                                                         p
               #          ) ,          &! )                             ,!     p-              ck cos(kϕ + ϕ k )
                                                                                        k =2

 ' * .               (                  #             !   ,     "             #! ( (                 &       "         & !!.
     ! 2 "                            &#          )             $       c 2 cos(2ϕ + ϕ 2 )                   -                 #$-
      $,             ! &#             c3 cos(3ϕ + ϕ 3 ) −                                 /         1!            " ( ,!-
# "! . .                     #        .0! &#                       ) , !" .0!                   "        k        p,             -
- .    # !                       $.                   +, ( !                   & ' #$1 " &! # &#
  ) ( # &                "      &                                            #).0! ,   - .0! 1                                   -
/      $(                  /   !.
        #                !& " - (      ! $ #                                            !)           +!#!                      !-
&     (                  /   ! (   #$ " & !!,                                                  # ! * "                          !
        2                " # &    ( # ) ):
           f ( z ) ≠ f ( z + l ),
     z − ( "                           ),            &!             )         #$        ! +!#!                    , ( !& "
0 ≤ z ≤ l ; l − #!                             #!.
                    ) +!#!              !&               . !        "               !           R, ϕ , z !             #
( ! ) , &                ( !           T=2l, (                      !"        #   !)                                   #$
+!#!           !&                       #!           (        #$        "    & !! f (z )                 !             !         -
"         !&              ( #!          "
                                           p
           f ( z ) ≈ (c 0 2) +                 c k sin(k π / 2l ) z ,
                                       k =1

      k–( )                                "       &#              *# - !).
                   ! k =1 (                    &#         f1 ( z ) = c1 sin(0,5π z l ).                  f1 ( z) = 0 ( !
z = 0 ! f1 ( z ) = c1 ( ! z=1.                                     &#         *# - !) /                           !*             -
 #         ' * .0      +!#!         (                                   ' *         $).                      &#            *# -
- !) f 2 ( z ) = c 2 sin(πz / l ) /                                !*             ( #           $                          (     -
     #$    "         & !! (' &                     ' *            $). 4         - &#           *# - !) ( !
     #!&!!            !          , *           f 2 ( z ) = c 2 sin(πz / l − π / 2) = c 2 cos(πz / l ) -
      # ' *                  $! . .




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