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Linear

The center node of a plate moves in the normal direction. Two other nodes that are neighbors to the center node are constrained such that their displacement in the normal direction is identical. Download is available in the download section of this document.

Introduction

*CONSTRAINED_LINEAR
Linearly Constrained Plate
LS-DYNA Manual Section: *CONSTRAINED_LINEAR

Additional Sections:
BOUNDARY_PRESCRIBED_MOTION_NODE
DEFINE_CURVE

Example: Linearly Constrained Plate

Filename: constrained.linear.plate.k

Description:
The center node of a plate moves in the normal direction. Two other nodes that
are neighbors to the center node are constrained such that their displacement
in the normal direction is identical.

Model:
The plate is made of an elastic material measuring 40 * 4 0* 2 mm3 and contains
64 Hughes-Liu shell elements. The center node displacement increases linearly.
At the termination time, 0.0005 seconds, the displacement is 15 mm. The degree
of freedom in the z-direction for the two nodes is identical.

Input:
A load curve defines the ma gnitude of the prescribed displacement of the
center node (*BOUNDARY_PRESCRIBED_MOTION_NODE, *DE FINE_CURVE). A linear
constraint card defines the coupling of the displacement in the z -direction
between the two nodes (*CONSTRA INED_LINEAR). Two equal coefficients with
opposite signs control the displacement.

Reference:
Schweizerhof, K. and Weimar, K.

Keywords

*BOUNDARY_PRESCRIBED_MOTION_NODE
*CONSTRAINED_LINEAR
*CONTROL_CONTACT
*CONTROL_HOURGLASS
*CONTROL_SHELL
*CONTROL_TERMINATION
*DATABASE_BINARY_D3PLOT
*DATABASE_BINARY_D3THDT
*DATABASE_EXTENT_BINARY
*DATABASE_HISTORY_NODE
*DATABASE_NODOUT
*DEFINE_CURVE
*ELEMENT_SHELL
*END
*KEYWORD
*MAT_ELASTIC
*NODE
*PART
*SECTION_SHELL
*TITLE

Reduced Input

  *KEYWORD
  *TITLE
  Linear Constraint Equations
  $
  $  LSTC Example
  $
  $  Last Modified: September 3, 1997
  $
  $   Units: mm, s
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $$$$  Control Ouput
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $...>....1....>....2....>....3....>....4....>....5....>....6....>....7....>....8
  $
  *CONTROL_TERMINATION
  $   endtim    endcyc     dtmin    endneg    endmas
      0.0005
  $
  *CONTROL_CONTACT
  $   slsfac    rwpnal    islchk    shlthk    penopt    thkchg     orien
         0.1                   2
  $
  $   usrstr    usrfac     nsbcs    interm    xpenen
  
  $
  *CONTROL_HOURGLASS
  $      ihq        qh
           4
  $
  *CONTROL_SHELL
  $   wrpang    itrist     irnxx    istupd    theory       bwc     miter
                                                   1
  $
  $
  *DATABASE_BINARY_D3PLOT
  $       dt      lcdt
     0.00002
  $
  *DATABASE_BINARY_D3THDT
  $       dt      lcdt
     0.00001
  $
  *DATABASE_EXTENT_BINARY
  $    neiph     neips    maxint    strflg    sigflg    epsflg    rltflg    engflg
                                         1
  $
  $   cmpflg    ieverp    beamip
  
  $
  $
  *DATABASE_HISTORY_NODE
  $      id1       id2       id3       id4       id5       id6       id7       id8
  $...>....1....>....2....>....3....>....4....>....5....>....6....>....7....>....8
          40        41        42
  $      
  *DATABASE_NODOUT
  $       dt
     0.00001
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $$$$  Constraints and Boundary Conditions
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $...>....1....>....2....>....3....>....4....>....5....>....6....>....7....>....8
  $
  $$$$  nodes 40 and 42 are constrained to have identical z-direction motion
  $
  *CONSTRAINED_LINEAR
  $      num
           2
  $
  $      nid      dofx      dofy      dofz    dofrx      dofry     dofrz      coef
          40                             1                                    1.00
          42                             1                                   -1.00
  $
  $
  $$$$  node 41 is displaced in the z-direction according to load curve 1
  $
  *BOUNDARY_PRESCRIBED_MOTION_NODE
  $      nid       dof       vad      lcid        sf       vid
          41         3         2         1       1.0
  $
  *DEFINE_CURVE
  $     lcid      sidr      scla      sclo      offa      offo
           1
  $
  $           abscissa            ordinate
                   0.0                 0.0
                0.0005               -15.0
                0.0015               -15.1
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $$$$  Define Parts and Materials
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  *PART
  Impacted Material 
  $      pid       sid       mid     eosid      hgid    adpopt
           1         1         1         0         0         0
  $
  $
  $$$$$$  Materials
  $
  *MAT_ELASTIC
  $      mid        ro         e        pr        da        db         k
           1   2.00e-8  100000.0     0.300
  $
  $
  $$$$$$  Sections
  $
  *SECTION_SHELL
  $      sid    elform      shrf       nip     propt   qr/irid     icomp
           1         6   0.83333       2.0       3.0
  $
  $       t1        t2        t3        t4      nloc
         2.0       2.0       2.0       2.0
  $
  $
  *END

Figures

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Animated Result

Result