13 lines
No EOL
363 B
TeX
13 lines
No EOL
363 B
TeX
\textbf{Question 6}
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\begin{center}
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Nous savons que: $ x_1(\zeta, t) = \frac{d^2 w}{d^2\zeta}(\zeta,t)$
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$\Rightarrow w(\zeta,t)=\int\int_0^L x_1(\mu , t)d\mu $\\
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comme $x_1(\mu,t)=\Phi^T(\mu)x_{1d}(t)$\\
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d'où
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\begin{equation}
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w(\zeta,t) =
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\begin{bmatrix}
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\int\int_0^\zeta \Phi(\mu)d\mu & 0_{{\rm I\!R}_{1\times4}}
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\end{bmatrix}x_d(t)
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\end{equation}
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\end{center} |