Constraints: Results

For general information on selecting and producing results, see the producing results topic.

The names of the results follow the convention that lower case letters x,y,z indicate components in the local axes directions $\Lxyz$, whereas upper case letters X,Y,Z indicate components in the global axes directions $\GXYZ$.

The in-frame and out-frame translational position and motion results are reported for a user-defined point $\vec{p}$ whose position, relative to and with respect to the in-frame and the out-frame respectively, is given on the results form. If $\vec{p} = (0,0,0)$ then the results reported are for the frame origin.

Relative motion results

Displacement

The magnitude of the displacement between the in-frame and the out-frame.

x, y, z

The position of the out-frame relative to and with respect to the axes of the in-frame.

Angular displacement

The magnitude of the rotation necessary to rotate the in-frame to the out-frame.

Rx, Ry, Rz

The orientation of the out-frame relative to the in-frame, expressed as a rotation vector, $\vec{R}=(Rx, Ry, Rz)$, with respect to the axes of the in-frame. The magnitude of $\vec{R}$ – the angular displacement – is the angle of rotation necessary to rotate the in-frame to the out-frame; the direction of $\vec{R}$ gives the axis of rotation.

Velocity, x velocity, y velocity, z velocity

The magnitude and components of the velocity of the out-frame relative to and with respect to the in-frame.

Angular velocity, x angular velocity, y angular velocity, z angular velocity

The magnitude and components of the angular velocity of the out-frame relative to the in-frame, but reported with respect to the axes of the out-frame.

Acceleration, x acceleration, y acceleration, z acceleration

The magnitude and components of the acceleration of the out-frame relative to and with respect to the in-frame.

Angular acceleration, x angular acceleration, y angular acceleration, z angular acceleration

The magnitude and components of the angular acceleration of the out-frame relative to the in-frame, but reported with respect to the axes of the out-frame.

In-frame results

In-frame X, in-frame Y, in-frame Z

The position, in global axes coordinates, of the user-defined point $\vec{p}$.

In-frame dynamic x, in-frame dynamic y, in-frame dynamic z

The position of the user-defined point $\vec{p}$, relative to the static position of $\vec{p}$, and with respect to the static orientation of the in-frame. The static position and static orientation are the position and orientation in the model's static state. So, if $\vec{p}_\textrm{inst}$ is the instantaneous position, and $\vec{p}_\textrm{static}$ is the static position, then these results report $\vec{p}_\textrm{inst} - \vec{p}_\textrm{static}$ with respect to the in-frame's static axis directions.

In-frame azimuth, in-frame declination, in-frame gamma

These angles define the orientation of the in-frame relative to global axes. Declination is in the range 0° to 180°. Range jump suppression is applied to the azimuth and gamma angles, so values outside the range -360° to +360° might be reported.

In-frame dynamic Rx, in-frame dynamic Ry, in-frame dynamic Rz

These angles define the orientation of the in-frame relative to its static orientation. Considered as a vector, $\vec{R}=(Rx, Ry, Rz)$ defines the rotation from the static orientation to the instantaneous orientation. The rotation is about the direction of the vector $\vec{R}$, and has magnitude $|\vec{R}|$.

In-frame velocity, in-frame GX velocity, in-frame GY velocity, in-frame GZ velocity

The magnitude and components of the velocity of the in-frame, relative to earth and reported with respect to the global coordinate frame, at the user-defined point $\vec{p}$.

In-frame x velocity, in-frame y velocity, in-frame z velocity

The components of the velocity of the in-frame, relative to earth and reported with respect to the in-frame axes, at the user-defined point $\vec{p}$.

In-frame angular velocity, in-frame x angular velocity, in-frame y angular velocity, in-frame z angular velocity

The magnitude and components of the angular velocity of the in-frame, relative to earth and reported with respect to the in-frame axes.

In-frame acceleration, in-frame GX acceleration, in-frame GY acceleration, in-frame GZ acceleration

The magnitude and components of the acceleration of the in-frame, relative to earth and reported with respect to the global coordinate frame, at the user-defined point $\vec{p}$.

In-frame x acceleration, in-frame y acceleration, in-frame z acceleration

The components of the acceleration of the in-frame, relative to earth and reported with respect to the in-frame axes, at the user-defined point $\vec{p}$.

In-frame angular acceleration, in-frame x angular acceleration, in-frame y angular acceleration, in-frame z angular acceleration

The magnitude and components of the angular acceleration of the in-frame, relative to earth and reported with respect to the in-frame axes.

In-frame connection force, in-frame connection GX force, in-frame connection GY force, in-frame connection GZ force

The magnitude and components, with respect to global axes, of the total force applied to the in-frame by the object to which it is connected, including structural inertia loads and added inertia loads.

In-frame connection Lx force, in-frame connection Ly force, in-frame connection Lz force

The components, with respect to the local in-frame axes, of the total force applied to the in-frame by the object to which it is connected, including structural inertia loads and added inertia loads.

In-frame connection moment, in-frame connection GX moment, in-frame connection GY moment, in-frame connection GZ moment

The magnitude and components, with respect to global axes, of the total moment applied to the in-frame by the object to which it is connected, including structural inertia loads and added inertia loads.

In-frame connection Lx moment, in-frame connection Ly moment, in-frame connection Lz moment

The components, with respect to the local in-frame axes, of the total moment applied to the in-frame by the object to which it is connected, including structural inertia loads and added inertia loads.

Out-frame results

Out-frame X, out-frame Y, out-frame Z

The position, in global axes coordinates, of the user-defined point $\vec{p}$.

Out-frame dynamic x, out-frame dynamic y, out-frame dynamic z

The position of the user-defined point $\vec{p}$, relative to the static position of $\vec{p}$, and with respect to the static orientation of the out-frame. The static position and static orientation are the position and orientation in the model's static state. So, if $\vec{p}_\textrm{inst}$ is the instantaneous position, and $\vec{p}_\textrm{static}$ is the static position, then these results report $\vec{p}_\textrm{inst} - \vec{p}_\textrm{static}$ with respect to the out-frame's static axis directions.

Out-frame azimuth, out-frame declination, out-frame gamma

These angles define the orientation of the out-frame relative to global axes. Declination is in the range 0° to 180°. Range jump suppression is applied to azimuth and gamma, so values outside the range -360° to +360° might be reported.

Out-frame dynamic Rx, out-frame dynamic Ry, out-frame dynamic Rz

These angles define the orientation of the out-frame relative to its static orientation. Considered as a vector, $\vec{R}=(Rx, Ry, Rz)$ defines the rotation from the static orientation to the instantaneous orientation. The rotation is about the direction of the vector $\vec{R}$, and has magnitude $|\vec{R}|$.

Out-frame velocity, out-frame GX velocity, out-frame GY velocity, out-frame GZ velocity

The magnitude and components of the velocity of the out-frame, relative to earth and reported with respect to the global coordinate frame, at the user-defined point $\vec{p}$.

Out-frame x velocity, out-frame y velocity, out-frame z velocity

The components of the velocity of the out-frame, relative to earth and reported with respect to the out-frame axes, at the user-defined point $\vec{p}$.

Out-frame angular velocity, out-frame x angular velocity, out-frame y angular velocity, out-frame z angular velocity

The magnitude and components of the angular velocity of the out-frame, relative to earth and reported with respect to the out-frame axes.

Out-frame acceleration, out-frame GX acceleration, out-frame GY acceleration, out-frame GZ acceleration

The magnitude and components of the acceleration of the out-frame, relative to earth and reported with respect to the global coordinate frame, at the user-defined point $\vec{p}$.

Out-frame x acceleration, out-frame y acceleration, out-frame z acceleration

The components of the acceleration of the out-frame, relative to earth and reported with respect to the out-frame axes, at the user-defined point $\vec{p}$.

Out-frame angular acceleration, out-frame x angular acceleration, out-frame y angular acceleration, out-frame z angular acceleration

The magnitude and components of the angular acceleration of the out-frame, relative to earth and reported with respect to the out-frame axes.

Out-frame connection force, out-frame connection GX force, out-frame connection GY force, out-frame connection GZ force

The magnitude and components, with respect to global axes, of the total force applied to the out-frame by the in-frame, including structural inertia loads and added inertia loads.

Out-frame connection Lx force, out-frame connection Ly force, out-frame connection Lz force

The components, with respect to the local out-frame axes, of the total force applied to the out-frame by the in-frame, including structural inertia loads and added inertia loads.

Out-frame connection moment, out-frame connection GX moment, out-frame connection GY moment, out-frame connection GZ moment

The magnitude and components, with respect to global axes, of the total moment applied to the out-frame by the in-frame, including structural inertia loads and added inertia loads.

Out-frame connection Lx moment, out-frame connection Ly moment, out-frame connection Lz moment

The components, with respect to the local out-frame axes, of the total moment applied to the out-frame by the in-frame, including structural inertia loads and added inertia loads.

Note: The out-frame connection load results retain the same meaning (i.e. the load between the in-frame and the out-frame) even for a constraint with a double-sided connection, for which the out-frame is connected to its own parent. In this scenario, the out-frame effectively has two parent objects, so OrcaFlex could present results for either. If you require the load between the out-frame and the other object to which it is connected, this can be obtained by instead connecting the out-frame to a dummy constraint (with no degrees of freedom of its own and with no offset between them), then connecting this dummy constraint to the parent object. The connection loads reported by the dummy constraint will be exactly the results required.

Curvilinear coordinate results

Each free coordinate defined by the user in a curvilinear constraint has its own set of results. For a coordinate $q$, these are:

$\textbf{q}$

The value of the $q$ coordinate.

$\textbf{q}$ velocity

The rate of change of the $q$ coordinate. This result is not available for constraints solved via the indirect solution method.

$\textbf{q}$ acceleration

The rate of change of the $q$ velocity. This result is not available for constraints solved via the indirect solution method.