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finding roots tests=MIME_BOUND_NEXTPART,RCVD_IN_ORBS,RCVD_IN_OSIRUSOFT_COM, X_OSIRU_OPEN_RELAY version=2.55

  • To: mathgroup at smc.vnet.net
  • Subject: [mg50975] finding roots tests=MIME_BOUND_NEXTPART,RCVD_IN_ORBS,RCVD_IN_OSIRUSOFT_COM, X_OSIRU_OPEN_RELAY version=2.55
  • From: "sohaib malik" <hihoney6 at hotmail.com>
  • Date: Thu, 30 Sep 2004 04:52:27 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

hi

i am trying the roots using mathematica .please help me in solving my
problem.please find attached my mathematica code.waiting for reply from your
side.

                                                   Thanks and regards



(************** Content-type: application/mathematica **************
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                    Mathematica-Compatible Notebook

This notebook can be used with any Mathematica-compatible
application, such as Mathematica, MathReader or Publicon. The data
for the notebook starts with the line containing stars above.

To get the notebook into a Mathematica-compatible application, do
one of the following:

* Save the data starting with the line of stars above into a file
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* Copy the data starting with the line of stars above to the
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Data for notebooks contains only printable 7-bit ASCII and can be
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For more information on notebooks and Mathematica-compatible
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  web: http://www.wolfram.com
  email: info at wolfram.com
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Notebook reader applications are available free of charge from
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Notebook[{
Cell[BoxData[{
    \(\(t = 2*10^\(-3\);\)\), "\[IndentingNewLine]",
    \(\(v =  .3;\)\), "\[IndentingNewLine]",
    \(\(E11 = 1.9*10^11;\)\), "\[IndentingNewLine]",
    \(\(rho = 7850;\)\), "\[IndentingNewLine]",
    \(\(n = 0;\)\), "\[IndentingNewLine]",
    \(\(x = Table[{j, j}, {j, 1, 3000}]*0;\)\), "\[IndentingNewLine]",
    \(\(y = Table[{j, j}, {j, 1, 3000}]*0;\)\), "\[IndentingNewLine]",
    \(\(For[w = 20000, w < 1520000, w = w + 500,
        n = n + 1; \[IndentingNewLine]d = \((w*t)\)/2*
            Sqrt[\((\((2  rho \((1 + v)\))\)/
                  E11)\)]; \[IndentingNewLine]z = \((1 - 2*v)\)/\((2 -
                2*v)\); \[IndentingNewLine]a =
          E11/\((2  rho \((1 + v)\)*L^2)\); \[IndentingNewLine]h =
          Tan[Sqrt[\((1 - a)\)]*d]/
              Tan[Sqrt[\((z - a)\)]*d] + \((2  a - 1)\)^2/\((4  a*
                  Sqrt[\((1 - a)\)]*
                  Sqrt[\((z - a)\)])\); \[IndentingNewLine]x[\([n, 2]\)] =
          N[Re[L /. FindRoot[
                  h \[Equal] 0, {L, 1000, 100,
                    4000}]]]; \[IndentingNewLine]x[\([n, 1]\)] = \(\(N[w]/2\)/
              Pi\)/1000;];\)\), "\[IndentingNewLine]",
    \(\(n = 0;\)\), "\[IndentingNewLine]",
    \(\(For[i = 1, i < 2999, \(i++\), n = n + 1;
        f = \((x[\([i + 1, 1]\)] + x[\([1, 1]\)])\)/2;
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        g = \((x[\([i + 1, 2]\)] - x[\([i, 2]\)])\)/\((x[\([i + 1, 1]\)] -
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        y[\([n, 1]\)] = f; \[IndentingNewLine]y[\([n, 2]\)] =
          cg;];\)\), "\[IndentingNewLine]",
    \(\(one =
        ListPlot[x, PlotLabel -> "\<Lamb Wave Phase Velocity for Steel\>",
          PlotRange -> {{0, 3500}, {0, 4000}},
          FrameLabel -> {"\<Frequency(kHz)\>", "\<Phase Velocity(m/s)\>"}];\)\
\), "\[IndentingNewLine]",
    \(\(two =
        ListPlot[y,
          PlotLabel \[Rule] "\<Lamb Wave Group Velocity for Steel\>",

          PlotLabel \[Rule] "\<Lamb Wave Group Velocity for Steel\>",
          PlotRange \[Rule] {{0, 3500}, {0, 4000}},
          FrameLabel \[Rule] {"\<Frequency(kHz)\>", "\<Group \
Velocity(m/s)\>"}];\)\), "\[IndentingNewLine]",
    \(\)}], "Input"]
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~
~


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