abaqususer1981
Structural
- Jul 18, 2013
- 14
Hi All!
Imagine you have a two noded beam in space, defined by extreme nodes 1 and 2, see figure.
To simplify, initially, the longitudinal axis of the beam, defined by the unit vector of the line that connects the nodes 1 and 2, is coincident with the X axis of the global coordinate system. Also the local frame x,y and z axis of each node are coincident with the global frame X, Y and Z axis.
Now assume that the beam rotated, with independent rotations in nodes 1 and 2. I know the rotations along global X, Y and Z axis of nodes 1 and 2.
How can I know the updated rotation matrix that transforms the original local frame at node 1 (or 2) to the rotated (updated) local frame at node 1 (or 2), i.e. matrices R1 and R2 in the figure?
Also, I belive it is not possible to obtain from any of these rotation matrices the updated local frame of the beam (matrix Rr in the figure): i.e. I can know the local x axis (which is defined by the line that connects node 1 and node 2), but T have to arbitrate the local y and z axis of the beam, right?
Thanks!
Andre
Imagine you have a two noded beam in space, defined by extreme nodes 1 and 2, see figure.
To simplify, initially, the longitudinal axis of the beam, defined by the unit vector of the line that connects the nodes 1 and 2, is coincident with the X axis of the global coordinate system. Also the local frame x,y and z axis of each node are coincident with the global frame X, Y and Z axis.
Now assume that the beam rotated, with independent rotations in nodes 1 and 2. I know the rotations along global X, Y and Z axis of nodes 1 and 2.
How can I know the updated rotation matrix that transforms the original local frame at node 1 (or 2) to the rotated (updated) local frame at node 1 (or 2), i.e. matrices R1 and R2 in the figure?
Also, I belive it is not possible to obtain from any of these rotation matrices the updated local frame of the beam (matrix Rr in the figure): i.e. I can know the local x axis (which is defined by the line that connects node 1 and node 2), but T have to arbitrate the local y and z axis of the beam, right?
Thanks!
Andre