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Theory manual edit in seismic force. Refs #3
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cbolisetti committed May 15, 2020
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Expand Up @@ -15,13 +15,3 @@ convert a velocity applied tangential to the boundary into a shear stress, Equat
\tau = \rho V_s \frac{du}{dt}
\end{equation}
where, $V_s$ is the shear wave speed and $\tau$ is the shear stress.

In some situations, the ground motion measured at a depth within the soil is available. This ground
motion is the summation of the wave that enters and exits the soil domain. MASTODON has the
capability to extract the incoming wave from the within soil ground motion. To calculate the incoming
wave velocity, an iterative procedure is used. The initial guess for the incoming wave velocity
($v_i$) at time t is taken to be the same as the within soil velocity measured at that location. The
velocity at this boundary obtained from MASTODON ($v_{mastodon}$) is now going to be different from
the measured within soil velocity ($v_{measured}$) at time t. Half the difference between
$v_{mastodon}$ and $v_{measured}$ is added to $v_o$ and the iterations are continued until $v_i$
converges (within a numerical tolerance).

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