NodePointSlope1

A 3D point/slope vector node for spatial Bernoulli-Euler ANCF (absolute nodal coordinate formulation) beam elements; the node has 6 displacement degrees of freedom (3 for displacement of point node and 3 for the slope vector ‘slopex’); all coordinates lead to second order differential equations; the slope vector defines the directional derivative w.r.t the local axial (x) coordinate, denoted as \(()^\prime\); in straight configuration aligned at the global x-axis, the slope vector reads \({\mathbf{r}}^\prime=[r_x^\prime\;\;r_y^\prime\;\;r_z^\prime]^T=[1\;\;0]^T\).

Additional information for NodePointSlope1:

• This Node has/provides the following types = Position

The item NodePointSlope1 with type = ‘PointSlope1’ has the following parameters:

• name [type = String, default = ‘’]:

  node’s unique name
• referenceCoordinates [type = Vector6D, size = 6, default = [0.,0.,0.,1.,0.,0.]]:

  reference coordinates (x-pos,y-pos,z-pos; x-slopex, y-slopex, z-slopex) of node; global position of node without displacement
• initialCoordinates [type = Vector6D, size = 6, default = [0.,0.,0.,0.,0.,0.]]:

  initial displacement coordinates: ux, uy, uz and x/y/z ‘displacements’ of slopex
• initialVelocities [type = Vector6D, size = 6, default = [0.,0.,0.,0.,0.,0.]]:

  initial velocity coordinates
• visualization [type = VNodePointSlope1]:

  parameters for visualization of item

The item VNodePointSlope1 has the following parameters:

• show [type = Bool, default = True]:

  set true, if item is shown in visualization and false if it is not shown
• drawSize [type = float, default = -1.]:

  drawing size (diameter, dimensions of underlying cube, etc.) for item; size == -1.f means that default size is used
• color [type = Float4, size = 4, default = [-1.,-1.,-1.,-1.]]:

  Default RGBA color for nodes; 4th value is alpha-transparency; R=-1.f means, that default color is used

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DESCRIPTION of NodePointSlope1

The following output variables are available as OutputVariableType in sensors, Get…Output() and other functions:

• Position: \(\LU{0}{{\mathbf{p}}}\cConfig = [p_0,\, p_1,\, p_2]\cConfig\tp\)

  global 3D position vector of node (=displacement+reference position)
• Displacement: \(\LU{0}{{\mathbf{u}}}\cConfig = [q_0,\, q_1,\, q_2]\cConfig\tp\)

  global 3D displacement vector of node
• Velocity: \(\LU{0}{{\mathbf{a}}}\cConfig = [\dot q_0,\,\dot q_1,\,\dot q_2]\cConfig\tp\)

  global 3D velocity vector of node
• Acceleration: \(\LU{0}{{\mathbf{a}}}\cConfig = [\ddot q_0,\,\ddot q_1,\,\ddot q_2]\cConfig\tp\)

  global 3D acceleration vector of node
• Coordinates:

  coordinates vector of node (3 displacement coordinates + 3 slope vector coordinates)
• Coordinates\_t:

  velocity coordinates vector of node (derivative of the 3 displacement coordinates + 3 slope vector coordinates)
• Coordinates\_tt:

  acceleration coordinates vector of node (derivative of the 3 displacement coordinates + 3 slope vector coordinates)

The web version may not be complete. For details, consider also the Exudyn PDF documentation : theDoc.pdf