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@ -6934,7 +6934,7 @@ $$
\ddot{\mathbf{r}}_{A}=\mathbf{L}\ddot{\mathbf{q}}+\dot{\mathbf{L}}\dot{\mathbf{q}}={\left[\begin{array}{l}{0.66}\\ {22.32}\end{array}\right]}+{\left[\begin{array}{l}{-46.702}\\ {-4.159}\end{array}\right]}={\left[\begin{array}{l}{-46.042}\\ {18.161}\end{array}\right]}\,\mathrm{m}/\mathrm{sec}^{2}
$$
# 5.2 INERTIA OF DEFORMABLE BODIES
# 5.2 INERTIA OF DEFORMABLE BODIES
In this section, we develop the kinetic energy of deformable bodies and point out the differences between the inertia properties of deformable bodies that undergo finite rotations and the inertia properties of both rigid and structural systems. In addition to the inertia tensor and the conventional mass matrix that appear, respectively, in rigid body dynamics and the dynamics of linear structural systems, it will be shown that a set of inertia shape integrals that depend on the assumed displacement field must be evaluated in order to completely define the mass matrix of deformable bodies that undergo large reference rotations. Moreover, the body inertia tensor depends on the elastic deformation and, as a consequence, is time-variant.

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