Error while inserting the title in each column of the the table












0















I have code for wherein I tried to insert the title for each column but I am getting an error. The error says "Missing control sequence inserted". How to overcome this?



documentclass[twocolumn,10pt]{article}%{asme2ej}
usepackage{graphicx}
usepackage{stfloats}
usepackage{adjustbox}
usepackage{scalerel}

usepackage{amssymb}
usepackage{amsmath}
usepackage{mathtools}
usepackage{cuted}

usepackage[Symbol]{upgreek}
usepackage{epstopdf}
%usepackage{float}
usepackage{siunitx}
%usepackage{caption}
usepackage{enumitem}

usepackage{caption}
usepackage{subcaption}
captionsetup{compatibility=false}
usepackage{multirow, tabularx}
usepackage{tikz}
usepackage{pifont}
usepackage{setspace}

usepackage{multicol}

usepackage{lipsum}


begin{document}
lipsum[1]
begin{figure}[htb]
centering
includegraphics[width=columnwidth]{example-image}
caption{}
label{fig:Transition_curves_spring}
end{figure}

lipsum[1]
begin{figure}[htb]
centering
includegraphics[width=columnwidth]{example-image}
caption{}
label{fig: Transition_curves_spring}
end{figure}

lipsum[12]
begin{figure}[!htb]
setkeys{Gin}{width=linewidth, height=0.25textheight}
begin{subfigure}{columnwidth}
includegraphics{example-image}
caption{Cantilever}
label{fig:mode_1_max_beta}
end{subfigure}
begin{subfigure}{columnwidth}
includegraphics{example-image}
caption{Simple Support}
label{fig:mode_2_max_beta}
end{subfigure}
begin{subfigure}{columnwidth}
includegraphics{example-image}
caption{Clamped-Clamped }
label{fig:mode_3_max_beta}
end{subfigure}
caption{xxxxx}
label{fig:location of max beta}
end{figure}

lipsum[2]
begin{table}[tb]
caption{}
label{table:three spring beam}
setlengthtabcolsep{0pt}
begin{tabular*}{linewidth}{@{extracolsep{fill}}
*{3}{S[table-format=4.0]}
S[table-format=1.4]
S[table-format=1.5]
S[table-format=1.3]
S[table-format=1.4]
}
hline
multicolumn{3}{c}{begin{tabular}[c]{@{}c@{}}Non-dimensional\ Stiffnessend{tabular}} & multicolumn{2}{c}{begin{tabular}[c]{@{}c@{}}Mode 1\ $beta_{1}$end{tabular}} & multicolumn{2}{c}{begin{tabular}[c]{@{}c@{}}Mode 2\ $beta_{2}$end{tabular}}\ hline

$K_{t}$ & $M$ & $K_{r}$ & begin{tabular}[c]{@{}c@{}}Present\ Methodend{tabular} & FEM & begin{tabular}[c]{@{}c@{}}Present\ Methodend{tabular} & FEM \ hline
0 & 0 & 0 & 3.142 & 3.140 & 6.281 & 6.2739 \
50 & 0 & 0 & 3.458 & 3.461 & 6.382 & 6.374 \
0 & 100 & 0 & 0.829 & 0.830 & 6.281 & 6.273 \
0 & 0 & 200 & 4.118 & 4.136 & 6.281 & 6.273 \
100 & 200 & 0 & 0.812 & 0.813 & 6.456 & 6.449 \
300 & 0 & 400 & 4.741 & 4.757 & 6.883 & 6.875 \
0 & 500 & 100 & 0.733 & 0.736 & 6.281 & 6.273 \
$infty$ & 0 & 1000 & 5.231 & 5.220 & 9.412 & 9.372 \
$infty$ & 100 & $infty$ & 1.471 & 1.467 & 7.244 & 7.220 \
300 & 800 & 1000 & 0.761 & 0.764 & 6.696 & 6.685 \
1000 & 500 & 3000 & 0.918 & 0.922 & 7.007 & 6.990 \
500 & 4000 & 800 & 0.525 & 0.527 & 6.837 & 6.824 \
$infty$ & $infty$ & $infty$ & 0.0046 & 0.00464 & 7.239 & 7.214 \
hline
end{tabular*}

medskip
begin{tabular*}{linewidth}{@{extracolsep{fill}}
*{3}{S[table-format=4.0]}
*{4}{S[table-format=2.3]}
}
hline
multicolumn{3}{c}{begin{tabular}[c]{@{}c@{}}Non-dimensional\ Stiffnessend{tabular}} & multicolumn{2}{c}{begin{tabular}[c]{@{}c@{}}Mode 1\ $beta_{1}$end{tabular}} & multicolumn{2}{c}{begin{tabular}[c]{@{}c@{}}Mode 2\ $beta_{2}$end{tabular}}\ hline

$K_{t}$ & $M$ & $K_{r}$ & begin{tabular}[c]{@{}c@{}}Present\ Methodend{tabular} & FEM & begin{tabular}[c]{@{}c@{}}Present\ Methodend{tabular} & FEM \ hline

0 & 0 & 0 & 9.403 & 9.393 & 12.298 & 12.492 \
50 & 0 & 0 & 9.418 & 9.408 & 12.298 & 12.492 \
0 & 100 & 0 & 7.857 & 7.830 & 12.273 & 12.492 \
0 & 0 & 200 & 9.950 & 9.909 & 13.524 & 13.652 \
100 & 200 & 0 & 7.968 & 7.943 & 12.273 & 12.492 \
300 & 0 & 400 & 10.049 & 10.009 & 13.617 & 13.734 \
0 & 500 & 100 & 7.950 & 7.918 & 13.075 & 13.064 \
{$infty$} & 0 & 1000 & 13.611 & 13.484 & 15.701 & 15.434 \
{$infty$} & 100 & {$infty$} & 13.122 & 13.071 & 15.720 & 15.490 \
300 & 800 & 1000 & 8.325 & 8.297 & 13.173 & 13.130 \
1000 & 500 & 3000 & 9.196 & 9.173 & 13.189 & 13.144 \
500 & 4000 & 800 & 8.583 & 8.557 & 13.172 & 13.130 \
{$infty$} & {$infty$} & {$infty$} & 13.123 & 13.024 & 15.799 & 15.490 \
hline
end{tabular*}
end{table}

lipsum[12]
begin{figure*}[b]
setkeys{Gin}{width=linewidth, height=0.25textheight}
begin{tabularx}{linewidth}{*{2}{X}}
includegraphics{example-image}
caption{xxxxx}
label{fig:mode shape with three springs}
&
includegraphics{example-image}
caption{xx}
\
includegraphics{example-image}
caption{xxx}
label{fig:Transition_curves_mass}
&
includegraphics{example-image}
caption{xx}
label{fig:Linear-rotational spring}
end{tabularx}
end{figure*}
lipsum[2-4]
end{document}









share|improve this question





























    0















    I have code for wherein I tried to insert the title for each column but I am getting an error. The error says "Missing control sequence inserted". How to overcome this?



    documentclass[twocolumn,10pt]{article}%{asme2ej}
    usepackage{graphicx}
    usepackage{stfloats}
    usepackage{adjustbox}
    usepackage{scalerel}

    usepackage{amssymb}
    usepackage{amsmath}
    usepackage{mathtools}
    usepackage{cuted}

    usepackage[Symbol]{upgreek}
    usepackage{epstopdf}
    %usepackage{float}
    usepackage{siunitx}
    %usepackage{caption}
    usepackage{enumitem}

    usepackage{caption}
    usepackage{subcaption}
    captionsetup{compatibility=false}
    usepackage{multirow, tabularx}
    usepackage{tikz}
    usepackage{pifont}
    usepackage{setspace}

    usepackage{multicol}

    usepackage{lipsum}


    begin{document}
    lipsum[1]
    begin{figure}[htb]
    centering
    includegraphics[width=columnwidth]{example-image}
    caption{}
    label{fig:Transition_curves_spring}
    end{figure}

    lipsum[1]
    begin{figure}[htb]
    centering
    includegraphics[width=columnwidth]{example-image}
    caption{}
    label{fig: Transition_curves_spring}
    end{figure}

    lipsum[12]
    begin{figure}[!htb]
    setkeys{Gin}{width=linewidth, height=0.25textheight}
    begin{subfigure}{columnwidth}
    includegraphics{example-image}
    caption{Cantilever}
    label{fig:mode_1_max_beta}
    end{subfigure}
    begin{subfigure}{columnwidth}
    includegraphics{example-image}
    caption{Simple Support}
    label{fig:mode_2_max_beta}
    end{subfigure}
    begin{subfigure}{columnwidth}
    includegraphics{example-image}
    caption{Clamped-Clamped }
    label{fig:mode_3_max_beta}
    end{subfigure}
    caption{xxxxx}
    label{fig:location of max beta}
    end{figure}

    lipsum[2]
    begin{table}[tb]
    caption{}
    label{table:three spring beam}
    setlengthtabcolsep{0pt}
    begin{tabular*}{linewidth}{@{extracolsep{fill}}
    *{3}{S[table-format=4.0]}
    S[table-format=1.4]
    S[table-format=1.5]
    S[table-format=1.3]
    S[table-format=1.4]
    }
    hline
    multicolumn{3}{c}{begin{tabular}[c]{@{}c@{}}Non-dimensional\ Stiffnessend{tabular}} & multicolumn{2}{c}{begin{tabular}[c]{@{}c@{}}Mode 1\ $beta_{1}$end{tabular}} & multicolumn{2}{c}{begin{tabular}[c]{@{}c@{}}Mode 2\ $beta_{2}$end{tabular}}\ hline

    $K_{t}$ & $M$ & $K_{r}$ & begin{tabular}[c]{@{}c@{}}Present\ Methodend{tabular} & FEM & begin{tabular}[c]{@{}c@{}}Present\ Methodend{tabular} & FEM \ hline
    0 & 0 & 0 & 3.142 & 3.140 & 6.281 & 6.2739 \
    50 & 0 & 0 & 3.458 & 3.461 & 6.382 & 6.374 \
    0 & 100 & 0 & 0.829 & 0.830 & 6.281 & 6.273 \
    0 & 0 & 200 & 4.118 & 4.136 & 6.281 & 6.273 \
    100 & 200 & 0 & 0.812 & 0.813 & 6.456 & 6.449 \
    300 & 0 & 400 & 4.741 & 4.757 & 6.883 & 6.875 \
    0 & 500 & 100 & 0.733 & 0.736 & 6.281 & 6.273 \
    $infty$ & 0 & 1000 & 5.231 & 5.220 & 9.412 & 9.372 \
    $infty$ & 100 & $infty$ & 1.471 & 1.467 & 7.244 & 7.220 \
    300 & 800 & 1000 & 0.761 & 0.764 & 6.696 & 6.685 \
    1000 & 500 & 3000 & 0.918 & 0.922 & 7.007 & 6.990 \
    500 & 4000 & 800 & 0.525 & 0.527 & 6.837 & 6.824 \
    $infty$ & $infty$ & $infty$ & 0.0046 & 0.00464 & 7.239 & 7.214 \
    hline
    end{tabular*}

    medskip
    begin{tabular*}{linewidth}{@{extracolsep{fill}}
    *{3}{S[table-format=4.0]}
    *{4}{S[table-format=2.3]}
    }
    hline
    multicolumn{3}{c}{begin{tabular}[c]{@{}c@{}}Non-dimensional\ Stiffnessend{tabular}} & multicolumn{2}{c}{begin{tabular}[c]{@{}c@{}}Mode 1\ $beta_{1}$end{tabular}} & multicolumn{2}{c}{begin{tabular}[c]{@{}c@{}}Mode 2\ $beta_{2}$end{tabular}}\ hline

    $K_{t}$ & $M$ & $K_{r}$ & begin{tabular}[c]{@{}c@{}}Present\ Methodend{tabular} & FEM & begin{tabular}[c]{@{}c@{}}Present\ Methodend{tabular} & FEM \ hline

    0 & 0 & 0 & 9.403 & 9.393 & 12.298 & 12.492 \
    50 & 0 & 0 & 9.418 & 9.408 & 12.298 & 12.492 \
    0 & 100 & 0 & 7.857 & 7.830 & 12.273 & 12.492 \
    0 & 0 & 200 & 9.950 & 9.909 & 13.524 & 13.652 \
    100 & 200 & 0 & 7.968 & 7.943 & 12.273 & 12.492 \
    300 & 0 & 400 & 10.049 & 10.009 & 13.617 & 13.734 \
    0 & 500 & 100 & 7.950 & 7.918 & 13.075 & 13.064 \
    {$infty$} & 0 & 1000 & 13.611 & 13.484 & 15.701 & 15.434 \
    {$infty$} & 100 & {$infty$} & 13.122 & 13.071 & 15.720 & 15.490 \
    300 & 800 & 1000 & 8.325 & 8.297 & 13.173 & 13.130 \
    1000 & 500 & 3000 & 9.196 & 9.173 & 13.189 & 13.144 \
    500 & 4000 & 800 & 8.583 & 8.557 & 13.172 & 13.130 \
    {$infty$} & {$infty$} & {$infty$} & 13.123 & 13.024 & 15.799 & 15.490 \
    hline
    end{tabular*}
    end{table}

    lipsum[12]
    begin{figure*}[b]
    setkeys{Gin}{width=linewidth, height=0.25textheight}
    begin{tabularx}{linewidth}{*{2}{X}}
    includegraphics{example-image}
    caption{xxxxx}
    label{fig:mode shape with three springs}
    &
    includegraphics{example-image}
    caption{xx}
    \
    includegraphics{example-image}
    caption{xxx}
    label{fig:Transition_curves_mass}
    &
    includegraphics{example-image}
    caption{xx}
    label{fig:Linear-rotational spring}
    end{tabularx}
    end{figure*}
    lipsum[2-4]
    end{document}









    share|improve this question



























      0












      0








      0








      I have code for wherein I tried to insert the title for each column but I am getting an error. The error says "Missing control sequence inserted". How to overcome this?



      documentclass[twocolumn,10pt]{article}%{asme2ej}
      usepackage{graphicx}
      usepackage{stfloats}
      usepackage{adjustbox}
      usepackage{scalerel}

      usepackage{amssymb}
      usepackage{amsmath}
      usepackage{mathtools}
      usepackage{cuted}

      usepackage[Symbol]{upgreek}
      usepackage{epstopdf}
      %usepackage{float}
      usepackage{siunitx}
      %usepackage{caption}
      usepackage{enumitem}

      usepackage{caption}
      usepackage{subcaption}
      captionsetup{compatibility=false}
      usepackage{multirow, tabularx}
      usepackage{tikz}
      usepackage{pifont}
      usepackage{setspace}

      usepackage{multicol}

      usepackage{lipsum}


      begin{document}
      lipsum[1]
      begin{figure}[htb]
      centering
      includegraphics[width=columnwidth]{example-image}
      caption{}
      label{fig:Transition_curves_spring}
      end{figure}

      lipsum[1]
      begin{figure}[htb]
      centering
      includegraphics[width=columnwidth]{example-image}
      caption{}
      label{fig: Transition_curves_spring}
      end{figure}

      lipsum[12]
      begin{figure}[!htb]
      setkeys{Gin}{width=linewidth, height=0.25textheight}
      begin{subfigure}{columnwidth}
      includegraphics{example-image}
      caption{Cantilever}
      label{fig:mode_1_max_beta}
      end{subfigure}
      begin{subfigure}{columnwidth}
      includegraphics{example-image}
      caption{Simple Support}
      label{fig:mode_2_max_beta}
      end{subfigure}
      begin{subfigure}{columnwidth}
      includegraphics{example-image}
      caption{Clamped-Clamped }
      label{fig:mode_3_max_beta}
      end{subfigure}
      caption{xxxxx}
      label{fig:location of max beta}
      end{figure}

      lipsum[2]
      begin{table}[tb]
      caption{}
      label{table:three spring beam}
      setlengthtabcolsep{0pt}
      begin{tabular*}{linewidth}{@{extracolsep{fill}}
      *{3}{S[table-format=4.0]}
      S[table-format=1.4]
      S[table-format=1.5]
      S[table-format=1.3]
      S[table-format=1.4]
      }
      hline
      multicolumn{3}{c}{begin{tabular}[c]{@{}c@{}}Non-dimensional\ Stiffnessend{tabular}} & multicolumn{2}{c}{begin{tabular}[c]{@{}c@{}}Mode 1\ $beta_{1}$end{tabular}} & multicolumn{2}{c}{begin{tabular}[c]{@{}c@{}}Mode 2\ $beta_{2}$end{tabular}}\ hline

      $K_{t}$ & $M$ & $K_{r}$ & begin{tabular}[c]{@{}c@{}}Present\ Methodend{tabular} & FEM & begin{tabular}[c]{@{}c@{}}Present\ Methodend{tabular} & FEM \ hline
      0 & 0 & 0 & 3.142 & 3.140 & 6.281 & 6.2739 \
      50 & 0 & 0 & 3.458 & 3.461 & 6.382 & 6.374 \
      0 & 100 & 0 & 0.829 & 0.830 & 6.281 & 6.273 \
      0 & 0 & 200 & 4.118 & 4.136 & 6.281 & 6.273 \
      100 & 200 & 0 & 0.812 & 0.813 & 6.456 & 6.449 \
      300 & 0 & 400 & 4.741 & 4.757 & 6.883 & 6.875 \
      0 & 500 & 100 & 0.733 & 0.736 & 6.281 & 6.273 \
      $infty$ & 0 & 1000 & 5.231 & 5.220 & 9.412 & 9.372 \
      $infty$ & 100 & $infty$ & 1.471 & 1.467 & 7.244 & 7.220 \
      300 & 800 & 1000 & 0.761 & 0.764 & 6.696 & 6.685 \
      1000 & 500 & 3000 & 0.918 & 0.922 & 7.007 & 6.990 \
      500 & 4000 & 800 & 0.525 & 0.527 & 6.837 & 6.824 \
      $infty$ & $infty$ & $infty$ & 0.0046 & 0.00464 & 7.239 & 7.214 \
      hline
      end{tabular*}

      medskip
      begin{tabular*}{linewidth}{@{extracolsep{fill}}
      *{3}{S[table-format=4.0]}
      *{4}{S[table-format=2.3]}
      }
      hline
      multicolumn{3}{c}{begin{tabular}[c]{@{}c@{}}Non-dimensional\ Stiffnessend{tabular}} & multicolumn{2}{c}{begin{tabular}[c]{@{}c@{}}Mode 1\ $beta_{1}$end{tabular}} & multicolumn{2}{c}{begin{tabular}[c]{@{}c@{}}Mode 2\ $beta_{2}$end{tabular}}\ hline

      $K_{t}$ & $M$ & $K_{r}$ & begin{tabular}[c]{@{}c@{}}Present\ Methodend{tabular} & FEM & begin{tabular}[c]{@{}c@{}}Present\ Methodend{tabular} & FEM \ hline

      0 & 0 & 0 & 9.403 & 9.393 & 12.298 & 12.492 \
      50 & 0 & 0 & 9.418 & 9.408 & 12.298 & 12.492 \
      0 & 100 & 0 & 7.857 & 7.830 & 12.273 & 12.492 \
      0 & 0 & 200 & 9.950 & 9.909 & 13.524 & 13.652 \
      100 & 200 & 0 & 7.968 & 7.943 & 12.273 & 12.492 \
      300 & 0 & 400 & 10.049 & 10.009 & 13.617 & 13.734 \
      0 & 500 & 100 & 7.950 & 7.918 & 13.075 & 13.064 \
      {$infty$} & 0 & 1000 & 13.611 & 13.484 & 15.701 & 15.434 \
      {$infty$} & 100 & {$infty$} & 13.122 & 13.071 & 15.720 & 15.490 \
      300 & 800 & 1000 & 8.325 & 8.297 & 13.173 & 13.130 \
      1000 & 500 & 3000 & 9.196 & 9.173 & 13.189 & 13.144 \
      500 & 4000 & 800 & 8.583 & 8.557 & 13.172 & 13.130 \
      {$infty$} & {$infty$} & {$infty$} & 13.123 & 13.024 & 15.799 & 15.490 \
      hline
      end{tabular*}
      end{table}

      lipsum[12]
      begin{figure*}[b]
      setkeys{Gin}{width=linewidth, height=0.25textheight}
      begin{tabularx}{linewidth}{*{2}{X}}
      includegraphics{example-image}
      caption{xxxxx}
      label{fig:mode shape with three springs}
      &
      includegraphics{example-image}
      caption{xx}
      \
      includegraphics{example-image}
      caption{xxx}
      label{fig:Transition_curves_mass}
      &
      includegraphics{example-image}
      caption{xx}
      label{fig:Linear-rotational spring}
      end{tabularx}
      end{figure*}
      lipsum[2-4]
      end{document}









      share|improve this question
















      I have code for wherein I tried to insert the title for each column but I am getting an error. The error says "Missing control sequence inserted". How to overcome this?



      documentclass[twocolumn,10pt]{article}%{asme2ej}
      usepackage{graphicx}
      usepackage{stfloats}
      usepackage{adjustbox}
      usepackage{scalerel}

      usepackage{amssymb}
      usepackage{amsmath}
      usepackage{mathtools}
      usepackage{cuted}

      usepackage[Symbol]{upgreek}
      usepackage{epstopdf}
      %usepackage{float}
      usepackage{siunitx}
      %usepackage{caption}
      usepackage{enumitem}

      usepackage{caption}
      usepackage{subcaption}
      captionsetup{compatibility=false}
      usepackage{multirow, tabularx}
      usepackage{tikz}
      usepackage{pifont}
      usepackage{setspace}

      usepackage{multicol}

      usepackage{lipsum}


      begin{document}
      lipsum[1]
      begin{figure}[htb]
      centering
      includegraphics[width=columnwidth]{example-image}
      caption{}
      label{fig:Transition_curves_spring}
      end{figure}

      lipsum[1]
      begin{figure}[htb]
      centering
      includegraphics[width=columnwidth]{example-image}
      caption{}
      label{fig: Transition_curves_spring}
      end{figure}

      lipsum[12]
      begin{figure}[!htb]
      setkeys{Gin}{width=linewidth, height=0.25textheight}
      begin{subfigure}{columnwidth}
      includegraphics{example-image}
      caption{Cantilever}
      label{fig:mode_1_max_beta}
      end{subfigure}
      begin{subfigure}{columnwidth}
      includegraphics{example-image}
      caption{Simple Support}
      label{fig:mode_2_max_beta}
      end{subfigure}
      begin{subfigure}{columnwidth}
      includegraphics{example-image}
      caption{Clamped-Clamped }
      label{fig:mode_3_max_beta}
      end{subfigure}
      caption{xxxxx}
      label{fig:location of max beta}
      end{figure}

      lipsum[2]
      begin{table}[tb]
      caption{}
      label{table:three spring beam}
      setlengthtabcolsep{0pt}
      begin{tabular*}{linewidth}{@{extracolsep{fill}}
      *{3}{S[table-format=4.0]}
      S[table-format=1.4]
      S[table-format=1.5]
      S[table-format=1.3]
      S[table-format=1.4]
      }
      hline
      multicolumn{3}{c}{begin{tabular}[c]{@{}c@{}}Non-dimensional\ Stiffnessend{tabular}} & multicolumn{2}{c}{begin{tabular}[c]{@{}c@{}}Mode 1\ $beta_{1}$end{tabular}} & multicolumn{2}{c}{begin{tabular}[c]{@{}c@{}}Mode 2\ $beta_{2}$end{tabular}}\ hline

      $K_{t}$ & $M$ & $K_{r}$ & begin{tabular}[c]{@{}c@{}}Present\ Methodend{tabular} & FEM & begin{tabular}[c]{@{}c@{}}Present\ Methodend{tabular} & FEM \ hline
      0 & 0 & 0 & 3.142 & 3.140 & 6.281 & 6.2739 \
      50 & 0 & 0 & 3.458 & 3.461 & 6.382 & 6.374 \
      0 & 100 & 0 & 0.829 & 0.830 & 6.281 & 6.273 \
      0 & 0 & 200 & 4.118 & 4.136 & 6.281 & 6.273 \
      100 & 200 & 0 & 0.812 & 0.813 & 6.456 & 6.449 \
      300 & 0 & 400 & 4.741 & 4.757 & 6.883 & 6.875 \
      0 & 500 & 100 & 0.733 & 0.736 & 6.281 & 6.273 \
      $infty$ & 0 & 1000 & 5.231 & 5.220 & 9.412 & 9.372 \
      $infty$ & 100 & $infty$ & 1.471 & 1.467 & 7.244 & 7.220 \
      300 & 800 & 1000 & 0.761 & 0.764 & 6.696 & 6.685 \
      1000 & 500 & 3000 & 0.918 & 0.922 & 7.007 & 6.990 \
      500 & 4000 & 800 & 0.525 & 0.527 & 6.837 & 6.824 \
      $infty$ & $infty$ & $infty$ & 0.0046 & 0.00464 & 7.239 & 7.214 \
      hline
      end{tabular*}

      medskip
      begin{tabular*}{linewidth}{@{extracolsep{fill}}
      *{3}{S[table-format=4.0]}
      *{4}{S[table-format=2.3]}
      }
      hline
      multicolumn{3}{c}{begin{tabular}[c]{@{}c@{}}Non-dimensional\ Stiffnessend{tabular}} & multicolumn{2}{c}{begin{tabular}[c]{@{}c@{}}Mode 1\ $beta_{1}$end{tabular}} & multicolumn{2}{c}{begin{tabular}[c]{@{}c@{}}Mode 2\ $beta_{2}$end{tabular}}\ hline

      $K_{t}$ & $M$ & $K_{r}$ & begin{tabular}[c]{@{}c@{}}Present\ Methodend{tabular} & FEM & begin{tabular}[c]{@{}c@{}}Present\ Methodend{tabular} & FEM \ hline

      0 & 0 & 0 & 9.403 & 9.393 & 12.298 & 12.492 \
      50 & 0 & 0 & 9.418 & 9.408 & 12.298 & 12.492 \
      0 & 100 & 0 & 7.857 & 7.830 & 12.273 & 12.492 \
      0 & 0 & 200 & 9.950 & 9.909 & 13.524 & 13.652 \
      100 & 200 & 0 & 7.968 & 7.943 & 12.273 & 12.492 \
      300 & 0 & 400 & 10.049 & 10.009 & 13.617 & 13.734 \
      0 & 500 & 100 & 7.950 & 7.918 & 13.075 & 13.064 \
      {$infty$} & 0 & 1000 & 13.611 & 13.484 & 15.701 & 15.434 \
      {$infty$} & 100 & {$infty$} & 13.122 & 13.071 & 15.720 & 15.490 \
      300 & 800 & 1000 & 8.325 & 8.297 & 13.173 & 13.130 \
      1000 & 500 & 3000 & 9.196 & 9.173 & 13.189 & 13.144 \
      500 & 4000 & 800 & 8.583 & 8.557 & 13.172 & 13.130 \
      {$infty$} & {$infty$} & {$infty$} & 13.123 & 13.024 & 15.799 & 15.490 \
      hline
      end{tabular*}
      end{table}

      lipsum[12]
      begin{figure*}[b]
      setkeys{Gin}{width=linewidth, height=0.25textheight}
      begin{tabularx}{linewidth}{*{2}{X}}
      includegraphics{example-image}
      caption{xxxxx}
      label{fig:mode shape with three springs}
      &
      includegraphics{example-image}
      caption{xx}
      \
      includegraphics{example-image}
      caption{xxx}
      label{fig:Transition_curves_mass}
      &
      includegraphics{example-image}
      caption{xx}
      label{fig:Linear-rotational spring}
      end{tabularx}
      end{figure*}
      lipsum[2-4]
      end{document}






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