/RLINK

Block Format Keyword Defines a rigid link. The rigid link imposes the same velocity on all the secondary nodes in one or more directions.

Format

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
/RLINK/rlink_ID
rlink_title
Trarot Skew_ID frame_ID grnod_ID Ipol            

Definition

Field Contents SI Unit Example
rlink_ID Rigid link integer.

(Integer, maximum 10 digits)

  
rlink_title Rigid link title.

(Character, maximum 100 characters)

  
Trarot Codes for translation and rotation.
= 0
Free DOF
= 1
Fixed DOF

(6 Booleans)

  
Skew_ID frame_ID Frame identifier for Ipol=0 or frame identifier for Ipol=1. 3

If Skew_ID ≠ 0: the code refers to this local skew (or frame) identifier.

If Skew_ID = 0: the code refers to the global coordinate system.

(Integer)

  
grnod_ID Secondary nodes group identifier.

(Integer)

  
Ipol Polar rigid link flag. 3
= 0 (Default)
DOF determined in a Cartesian coordinate system
= 1
DOF determined in a polar coordinate system

(Integer)

  

Codes for Translation and Rotation: input format for the first field (1) Trarot

If Ipol = 0
(1)-1 (1)-2 (1)-3 (1)-4 first boolean (1)-5 second boolean (1)-6 third boolean (1)-7 (1)-8 fourth boolean (1)-9 fifth boolean (1)-10 sixth boolean
      TX TY TZ   ω X MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeaaciGaaiaabeqaamaabaabaaGcbaGaeqyYdC3aaS baaSqaaiaadIfaaeqaaaaa@38CA@ ω Y MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeaaciGaaiaabeqaamaabaabaaGcbaGaeqyYdC3aaS baaSqaaiaadIfaaeqaaaaa@38CA@ ω Z MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeaaciGaaiaabeqaamaabaabaaGcbaGaeqyYdC3aaS baaSqaaiaadIfaaeqaaaaa@38CA@
If Ipol = 1
(1)-1 (1)-2 (1)-3 (1)-4 first boolean (1)-5 second boolean (1)-6 third boolean (1)-7 (1)-8 fourth boolean (1)-9 fifth boolean (1)-10 sixth boolean
      Trad Taxial Ttang   ω r a d MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeaaciGaaiaabeqaamaabaabaaGcbaGaeqyYdC3aaS baaSqaaiaadkhacaWGHbGaamizaaqabaaaaa@3AB3@ ω axial MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeaaciGaaiaabeqaamaabaabaaGcbaGaeqyYdC3aaS baaSqaaiaadkhacaWGHbGaamizaaqabaaaaa@3AB3@ ω tang MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeaaciGaaiaabeqaamaabaabaaGcbaGaeqyYdC3aaS baaSqaaiaadkhacaWGHbGaamizaaqabaaaaa@3AB3@

Definition

Field Contents SI Unit Example
TX Code for translation along X-axis.
= 0
Free DOF
= 1
Fixed DOF

(Boolean)

  
TY Code for translation along Y-axis.
= 0
Free DOF
= 1
Fixed DOF

(Boolean)

  
TZ Code for translation along Z-axis.
= 0
Free DOF
= 1
Fixed DOF

(Boolean)

  
ω X MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeaaciGaaiaabeqaamaabaabaaGcbaGaeqyYdC3aaS baaSqaaiaadIfaaeqaaaaa@38CA@ Code for rotation around X-axis.
= 0
Free DOF
= 1
Fixed DOF

(Boolean)

  
ω Y MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeaaciGaaiaabeqaamaabaabaaGcbaGaeqyYdC3aaS baaSqaaiaadIfaaeqaaaaa@38CA@ Code for rotation around Y-axis.
= 0
Free DOF
= 1
Fixed DOF

(Boolean)

  
ω Z MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeaaciGaaiaabeqaamaabaabaaGcbaGaeqyYdC3aaS baaSqaaiaadIfaaeqaaaaa@38CA@ Code for rotation around Z-axis.
= 0
Free DOF
= 1
Fixed DOF

(Boolean)

  
Trad Code for translation in radial direction.
= 0
Free DOF
= 1
Fixed DOF

(Boolean)

  
Taxial Code for translation in axial direction.
= 0
Free DOF
= 1
Fixed DOF

(Boolean)

  
Ttang Code for translation in tangential direction.
= 0
Free DOF
= 1
Fixed DOF

(Boolean)

  
ω r a d MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeaaciGaaiaabeqaamaabaabaaGcbaGaeqyYdC3aaS baaSqaaiaadkhacaWGHbGaamizaaqabaaaaa@3AB3@ Code for rotation in radial direction
= 0
Free DOF
= 1
Fixed DOF

(Boolean)

  
ω axial MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeaaciGaaiaabeqaamaabaabaaGcbaGaeqyYdC3aaS baaSqaaiaadkhacaWGHbGaamizaaqabaaaaa@3AB3@ Code for rotation in axial direction.
= 0
Free DOF
= 1
Fixed DOF

(Boolean)

  
ω tang MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeaaciGaaiaabeqaamaabaabaaGcbaGaeqyYdC3aaS baaSqaaiaadkhacaWGHbGaamizaaqabaaaaa@3AB3@ Code for rotation in tangential direction.
= 0
Free DOF
= 1
Fixed DOF

(Boolean)

  

Comments

  1. The velocity is computed using momentum conservation equations. However, no global momentum equilibrium is respected.
    • For translational DOF:(1)
      T X = ∑ j = 1 N M j T X j ∑ j = 1 N M j
    • For rotational DOF:(2)
      ω X = ∑ j = 1 N I j ω X j ∑ j = 1 N I j
  2. Input format details for Trarot are shown above. The six individual boolean codes (one per direction) must be right justified in the 10 character fields used by the Trarot variables.
  3. If Ipol =1, polar coordinate system is used; frame_ID definition is compulsory. In this case, not only direction of the axis is set, but also the position of the center of the polar coordinate system.
    • The first boolean code corresponds to the radial direction effect
    • The second boolean code corresponds to the axial effect
    • The third boolean corresponds to the tangential effect
    • Axial direction is defined by the X direction of the frame
    • Radial direction is orthogonal to axial direction and is passing through concerned node
    • Tangential direction is orthogonal to axial and radial directions