# MBDCRV

Bulk Data Entry Defines an ordered list of grids as a Multibody Deformable Curve.

## Format

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
MBDCRV DCID ENDTYPEL LAMBDAL ENDTYPER LAMBDAR NSEG
G1 G2 G3 etc

## Example

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
MBDCRV 1 NATURAL   CANTILEVER 0.5 100 5
201 202 203 204 205

## Definitions

Field Contents SI Unit Example
DCID Curve identification number.

No default (Integer > 0)

ENDTYPEL Select from.
NATURAL (Default)
PARABOLIC
PERIODIC
CANTILEVER 1

LAMBDAL This parameter is only applicable for CANTILEVER type end condition. It should be left blank for other end conditions.

A real valued parameter in the interval [0,1] that controls the left end condition for CUBIC spline interpolation. A value of 0 implies NATURAL end condition while a value of 1 implies PARABOLIC end condition.

Default = 0.0 (0.0 < Real < 1.0)

ENDTYPER Select from:
NATURAL (Default)
PARABOLIC
PERIODIC
CANTILEVER 1

LAMBDAR This parameter is only applicable for CANTILEVER type end condition. It should be left blank for other end conditions.

A real valued parameter in the interval [0,1] that controls the left end condition for CUBIC spline interpolation. A value of 0 implies NATURAL end condition while a value of 1 implies PARABOLIC end condition.

Default = 0.0 (0.0 < Real < 1.0)

NSEG Number of segments used to visualize the deformable curve in animation.

No default (Integer > 0)

G1, G2, G3, … Ordered list of grid IDs defining the curve.

## Comments

1. The deformable curve is generated using the CUBIC spline interpolation which requires assumptions on the second derivative of the interpolating function at either end of the curve. The keywords NATURAL, PARABOLIC, PERIODIC and CANTILEVER represent the four standard assumptions defined as:(1)
$\begin{array}{l}\text{NATURAL}\left(\text{or} \text{free}\right): {f}^{″}\left({x}_{0}\right)={f}^{″}\left({x}_{N}\right)=0\\ \text{PARABOLIC}: {f}^{″}\left({x}_{0}\right)={f}^{″}\left({x}_{1}\right),{f}^{″}\left({x}_{N}\right)={f}^{″}\left({x}_{N-1}\right)\\ \text{PERIODIC}: {f}^{″}\left({x}_{0}\right)={f}^{″}\left({x}_{N-1}\right),{f}^{″}\left({x}_{N}\right)={f}^{″}\left({x}_{1}\right)\\ \text{CANTILEVER}: {f}^{″}\left({x}_{0}\right)=\lambda {f}^{″}\left({x}_{1}\right),{f}^{″}\left({x}_{N}\right)=\lambda {f}^{″}\left({x}_{N-1}\right),0\le \lambda \le 1\end{array}$

$\lambda$ =0.0 implies NATURAL (or free) end conditions and $\lambda$ =1.0 implies PARABOLIC end conditions.

2. This card is represented as a set in HyperMesh.