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/RBE3

/RBE3

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/RBE3

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Block Format Keyword

/RBE3 - Interpolation Constraint Element

Description

Defines the motion of a reference (slave) node as the weighted average of the motions of sets of master nodes.

Format

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(10)

/RBE3/rbe3_ID

rbe3_title

Node_IDr

Trarotref

N_set

I_modif

 

 

 

 

 

 

 

For each set with different weighing factors

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

WTi

Trarot_Mi

skew_IDi

grnd_IDi

 

 

 

 

 

hmtoggle_plus1Flag Definition

Field

Contents

rbe3_ID

Interpolation constraint element identifier

(Integer, maximum 10 digits)

rbe3_title

Interpolation constraint element title

(Character, maximum 100 characters)

Node_IDr

Reference (slave) node identifier

(Integer)

Trarotref

Code of DOF used for reference node

(6 Booleans)

=0: free DOF

=1: fixed DOF

Default (blank or 6 zeros), set on all DOF

N_set

Number of different weighing factor and/or Trarot sets

(Integer)

I_modif

Modification of weighing factor flag (Comment 4)

(Integer)

Default (blank or zero), set to 1

= 1: modification is automatic

= 2: forbidden modification

= 3: change all weighing factor to unity (1.0)

WTi

Weighing factor of set i

(Real)

Trarot_Mi

Master nodes’ code of DOF used in interpolation of set i

(6 Booleans)

Default (blank or 6 zeros), set on all DOF

skew_IDi

Local skew identifier of set i

(Integer)

grnd_IDi

Node group defining master nodes of set i

(Integer)

hmtoggle_plus1Codes for Translation and Rotation: Trarotref and Trarot_Mi

(1)-1

(1)-2

(1)-3

(1)-4

(1)-5

(1)-6

(1)-7

(1)-8

(1)-9

(1)-10

 

 

 

TX

TY

TZ

 

W1X

W1Y

W1Z

 

Field

Contents

TX

Code for translation TX

=0: free DOF

=1: fixed DOF

(Boolean)

TY

Code for translation TY

=0: free DOF

=1: fixed DOF

(Boolean)

TZ

Code for translation TZ

=0: free DOF

=1: fixed DOF

(Boolean)

W1X

Code for rotation W1X

=0: free DOF

=1: fixed DOF

(Boolean)

W1Y

Code for rotation W1Y

=0: free DOF

=1: fixed DOF

(Boolean)

W1Z

Code for rotation W1Z

=0: free DOF

=1: fixed DOF

(Boolean)

hmtoggle_plus1Comments
1.This is equivalent to OptiStruct’s RBE3, in which motion of a slave node depends on the motion of a group of master nodes with weighed average. It is similar to but more general than the kinematic condition interface type 2 (which is limited by one slave node to one master segment (3 nodes or 4 nodes) and for all translations and/or all rotation components), the slave rotation is computed as a function of translation and rotation of master nodes, if all DOF are set on in Trarot_Mi.
2.It is recommended that for most applications only the translation components be used for Trarot_Mi (Spotflag =1 in /INTER/TYPE2). An exception is the case where the master nodes are co-linear and some of the slave rotation components can not be determined. In this case, some rotational component should also be set on.
3.The absolute values of the weighing factors are not important; it is the relative values from different sets that are important since these will be normalized.
4.All DOF of the slave node should be determinable.

If only translation components are used for Trarot_Mi and the master nodes are quasi-collinear, numerical instability might occur in explicit analysis to avoid this; RADIOSS by default, will modify the input weighing factors slightly (I_modif = 1). You can prevent this modification by setting I_modif =2.

I_modif =3 will give an equivalent behavior as /INTER/TYPE2 with Spotflag =1

5.It is not recommended to define a hierarchy involving RBE3, with other constraint equation (kinematic conditions; however, this is permitted, if the hierarchy rule has been respected.
6.Hierarchy rule involving /INTER/TYPE2, /RBE2, /RBE3, and /RBODY is the following:

RBODY > RBE3 > RBE2 > INTERFACE TYPE2

See Also:

Implicit Features and Compatibility Information

Skew and Frame (/SKEW & /FRAME)