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MaplesonModelP_sm.tex

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mtt MaplesonModelP sm tex

$\displaystyle A_{11} = {{\left ( - 1\right )} \over {\left (c_{b} r_{b}\right )}}\cr$ (1.3)

$\displaystyle A_{18} = {1 \over {\left (c_{ap} r_{b}\right )}}\cr$ (1.4)

$\displaystyle A_{22} = {{\left ( - 1\right )} \over {\left (c_{v} r_{v}\right )}}\cr$ (1.5)

$\displaystyle A_{28} = {1 \over {\left (c_{ap} r_{v}\right )}}\cr$ (1.6)

$\displaystyle A_{33} = {{\left ( - 1\right )} \over {\left (c_{l} r_{l}\right )}}\cr$ (1.7)

$\displaystyle A_{38} = {1 \over {\left (c_{ap} r_{l}\right )}}\cr$ (1.8)

$\displaystyle A_{44} = {{\left ( - 1\right )} \over {\left (c_{f} r_{f}\right )}}\cr$ (1.9)

$\displaystyle A_{48} = {1 \over {\left (c_{ap} r_{f}\right )}}\cr$ (1.10)

$\displaystyle A_{55} = {{\left ( - 1\right )} \over {\left (c_{s} r_{s}\right )}}\cr$ (1.11)

$\displaystyle A_{58} = {1 \over {\left (c_{ap} r_{s}\right )}}\cr$ (1.12)

$\displaystyle A_{66} = {{\left ( - {\left (r_{ap} r_{i} + r_{ap} r_{vp} + r_{i} r_{vp}\right )}\right )} \over {\left (c_{i} r_{ap} r_{i} r_{vp}\right )}}\cr$ (1.13)

$\displaystyle A_{69} = {1 \over {\left (c_{vp} r_{vp}\right )}}\cr$ (1.14)

$\displaystyle A_{76} = {1 \over {\left (c_{i} r_{ap}\right )}}\cr$ (1.15)

$\displaystyle A_{77} = {{\left ( - 1\right )} \over {\left (c_{ap} r_{ap}\right )}}\cr$ (1.16)

$\displaystyle A_{87} = {1 \over {\left (c_{ap} r_{ap}\right )}}\cr$ (1.17)

$\displaystyle A_{88} = {{\left ( - {\left (r_{b} r_{f} r_{l} r_{s} + r_{b} r_{f...
...ght )}\right )} \over {\left (c_{ap} r_{b} r_{f} r_{l} r_{s} r_{v}\right )}}\cr$ (1.18)

$\displaystyle A_{96} = {1 \over {\left (c_{i} r_{vp}\right )}}\cr$ (1.19)

$\displaystyle A_{99} = {{\left ( - 1\right )} \over {\left (c_{vp} r_{vp}\right )}}\cr$ (1.20)

$\displaystyle A_{910} = {1 \over {\left (c_{vp} r_{vp}\right )}}\cr$ (1.21)

$\displaystyle A_{101} = {1 \over {\left (c_{b} r_{b}\right )}}\cr$ (1.22)

$\displaystyle A_{102} = {1 \over {\left (c_{v} r_{v}\right )}}\cr$ (1.23)

$\displaystyle A_{103} = {1 \over {\left (c_{l} r_{l}\right )}}\cr$ (1.24)

$\displaystyle A_{104} = {1 \over {\left (c_{f} r_{f}\right )}}\cr$ (1.25)

$\displaystyle A_{105} = {1 \over {\left (c_{s} r_{s}\right )}}\cr$ (1.26)

$\displaystyle A_{1010} = {{\left ( - 1\right )} \over {\left (c_{vp} r_{vp}\right )}}\cr$ (1.27)

$\displaystyle B = \begin{pmatrix}{0} \cr {0} \cr {0} \cr {0} \cr {0} \cr {1 \over r_{i}} \cr {0} \cr {0} \cr {0} \cr {0} \end{pmatrix}$ (1.28)

$\displaystyle C_{11} = {1 \over c_{b}}\cr$ (1.29)

$\displaystyle C_{22} = {1 \over c_{v}}\cr$ (1.30)

$\displaystyle C_{33} = {1 \over c_{l}}\cr$ (1.31)

$\displaystyle C_{44} = {1 \over c_{f}}\cr$ (1.32)

$\displaystyle C_{55} = {1 \over c_{s}}\cr$ (1.33)

$\displaystyle C_{66} = {1 \over c_{i}}\cr$ (1.34)

$\displaystyle D = \begin{pmatrix}{0} \end{pmatrix}$ (1.35)


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