*BCREFLOC

Data format:

One line with 10 parameters as follows:

IREF \(u_1(1)\) \(u_1(2)\) \(u_1(3)\) \(u_2(1)\) \(u_2(2)\) \(u_2(3)\) \(u_3(1)\) \(u_3(2)\) \(u_3(3)\)

Status:

Optional

Purpose:

To define a reference frame with three vectors \((\vec{u}_1, \vec{u}_2, \vec{u}_3)\) in the local co-ordinate system \((\vec{d}_{x1}, \vec{d}_{x2}, \vec{d}_{x3})\) of a node NOE

Restriction:

NOE must be connected at least to one beam

Details :

Parameter	Description
IREF	Identification number of the reference
\(u_1(1)\)	X-coordinate of the local 1 axis \(\vec{u}_1\) expressed in \((\vec{d}_{x1}, \vec{d}_{x2}, \vec{d}_{x3})\)
\(u_1(2)\)	Y-coordinate of the local 1 axis \(\vec{u}_1\) expressed in \((\vec{d}_{x1}, \vec{d}_{x2}, \vec{d}_{x3})\)
\(u_1(3)\)	Z-coordinate of the local 1 axis \(\vec{u}_1\) expressed in \((\vec{d}_{x1}, \vec{d}_{x2}, \vec{d}_{x3})\)
u2(1)	X-coordinate of the local 2 axis \(\vec{u}_2\) expressed in \((\vec{d}_{x1}, \vec{d}_{x2}, \vec{d}_{x3})\)
u2(2)	Y-coordinate of the local 2 axis \(\vec{u}_2\) expressed in \((\vec{d}_{x1}, \vec{d}_{x2}, \vec{d}_{x3})\)
u2(3)	Z-coordinate of the local axis \(\vec{u}_2\) expressed in \((\vec{d}_{x1}, \vec{d}_{x2}, \vec{d}_{x3})\)
u3(1)	X-coordinate of the local 3 axis \(\vec{u}_3\) expressed in \((\vec{d}_{x1}, \vec{d}_{x2}, \vec{d}_{x3})\)
u3(2)	Y-coordinate of the local 3 axis \(\vec{u}_3\) expressed in \((\vec{d}_{x1}, \vec{d}_{x2}, \vec{d}_{x3})\)
u3(3)	Z-coordinate of the local 3 axis \(\vec{u}_3\) expressed in \((\vec{d}_{x1}, \vec{d}_{x2}, \vec{d}_{x3})\)

Note

Default vector for \(\vec{u}_1\) is the first flexion axis \(\vec{d}_{x1} = \begin{pmatrix} 1 \\ 0 \\ 0 \end{pmatrix}\)

Default vector for \(\vec{u}_2\) is the first flexion axis \(\vec{d}_{x2} = \begin{pmatrix} 0 \\ 1 \\ 0 \end{pmatrix}\)

Default vector for \(\vec{u}_3\) is the first flexion axis \(\vec{d}_{x2} = \begin{pmatrix} 0 \\ 0 \\ 1 \end{pmatrix}\)

If only NOE is defined, the reference is the local reference defined by the beam section IREF must not be used for any other reference frame defined with BCREFGLO, BCREFLOC or *BCREFPF

Examples :

1) *BCREFLOC
1 5

Reference 1 is the local reference of node 5

2) *BCREFLOC
2 6 1. 1. 0. -1. 1. 0.
Reference 2 is defined by \((\vec{u}_1, \vec{u}_2, \vec{u}_3)\) in the local reference of node 6 :

\(\vec{u}_1 = \begin{pmatrix} \frac{\sqrt{2}}{2} \\ \frac{\sqrt{2}}{2} \\ 0 \end{pmatrix}, \vec{u}_2 = \begin{pmatrix} - \frac{\sqrt{2}}{2} \\ \frac{\sqrt{2}}{2} \\ 0 \end{pmatrix}, \vec{u}_3 = \vec{u}_1 \wedge \vec{u}_2 = \begin{pmatrix} 0 \\ 0 \\ 1 \end{pmatrix}\)