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Fixing a few typos in casefiles.rst
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kccwing authored Nov 11, 2024
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* ``num_constraints``: Number of constraints between bodies.

The initial conditions for each body and the constraint definititions are defined in groups. The body groups are named
The initial conditions for each body and the constraint definitions are defined in groups. The body groups are named
as ``body_xx``, where the xx is replaced with a two digit body number starting from 00, e.g. ``body_00``. Each of these
groups should have the following items:

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This value scales the multibody equations, where generally settings to ``dt^2`` provides acceptable results.

* ``behavior``: Constraint behavior.
* ``behaviour``: Constraint behaviour.

This string defines the type of constraint applied to a single or multiple bodies. A wide range of standard lower-pair
kinematic joints are available, such as hinge and spherical joints, as well as prescribed rotation joints. A list of the
available joints can be found in ``sharpy/structure/utils/lagrangeconstraints.py`` and
``sharpy/structure/utils/lagrangeconstraintsjax.py``, depending on the solver being used. Due to every constraint being
different, further paramters depend upon the constraint type used. These parameters are added as variables to the constraint
different, further parameters depend upon the constraint type used. These parameters are added as variables to the constraint
group. Some examples which may be included are listed below:

* ``body_FoR``: Body frame of reference number.

The number of the body which is constrainted by its body attached frame of reference. For example for a double pendulum,
The number of the body which is constrained by its body attached frame of reference. For example for a double pendulum,
this would be the lower link.

* ``body``: Body number.
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* ``node_in_body``: Node in body.

This is paired to the ``body`` paramter, and this indicates which node within the body is to be constrained.
This is paired to the ``body`` parameter, and this indicates which node within the body is to be constrained.

* ``rot_axisB [3]``: Rotation axis in the B frame.

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For simulating wings with dynamic sweep by a local rotation around the z axis, the aerodynamic grid needs to warp to
account for this. To create a smooth warp, it can be preferred to gradually change the sweep (and therefore chord to
maintain the "same" geometry) at elements around the discontinuity. This paramter sets the sweep per node using this
maintain the "same" geometry) at elements around the discontinuity. This parameter sets the sweep per node using this
parameter to scale the input angle. If not included, it will be ignored when generating the aerodynamic grid and have
no effect.

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* ``z_0_ellipse [num_node]``: Vertical offset of the ellipse center from the beam node.

Is an array with the vertical offset of the center of the elliptical cross-sectoin from the fuselage node.
Is an array with the vertical offset of the center of the elliptical cross-section from the fuselage node.

* ``surface_m [num_surfaces]``: Radial panelling.

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