1.2.2 VDISP
User subroutine to specify prescribed boundary conditions.

Product: Abaqus/Explicit  

References

Overview

User subroutine VDISP:

Initial velocity

At the beginning of each step user subroutine VDISP is called once to establish the initial velocity; and then, it is called once on each configuration, including the initial configuration, to establish the nodal acceleration.

The first call to user subroutine VDISP is made to establish the initial velocity, which is indicated by the passing of a step time value of into the subroutine, where is the current time increment. If displacement is prescribed, the returned variable, rval, corresponds to , where and are the initial displacement and velocity respectively. If velocity is prescribed, the returned variable corresponds to the initial velocity . If acceleration is prescribed, the returned variable corresponds to where is the initial velocity.

The default value of rval is consistent with the velocity at the end of previous step or that specified as an initial condition in case of the first step. You only need to reset the rval if a different initial velocity is desired. The arrays u and v stand for the default initial displacement and velocity, respectively. The array a contains a zero value.

Acceleration

During time incrementation user subroutine VDISP is called once for each configuration, including the initial configuration, to establish the nodal acceleration.

If displacement is prescribed, the returned variable should be set equal to the displacement at stepTime+dtNext, where stepTime is the step time and dtNext is the next time increment. If velocity is prescribed, the returned variable should be set equal to the mean velocity at stepTime+dtNext/2. If acceleration is prescribed, the returned variable should be set equal to the acceleration at stepTime. Note that stepTime is zero for the initial configuration.

The variable rval has a default value that is computed as if the boundary condition is released. You only need to reset the rval if the boundary condition is active. The variable u contains values at stepTime. Whereas, the variable v contains initial velocity when stepTime is zero and, otherwise, velocity at stepTime—dt/2. The variable a contains values at stepTime computed as if the bondary condition is released.

Tip:  If you wish to apply a concentrated load, instead of the boundary condition, you can compute the change in acceleration due to this load and modify the rval value to account for that change. Note that the nodal mass and the rotary inertia are available in VDISP for computing the change in acceleration. Also, note that the default value of rval already reflects all other forces acting at the node.

User subroutine interface

      subroutine vdisp(
c Read only variables -
     1   nblock, nDof, nCoord, kstep, kinc,
     2   stepTime, totalTime, dtNext, dt,
     3   cbname, jBCType, jDof, jNodeUid, amp,
     4   coordNp, u, v, a, rf, rmass, rotaryI,
c Write only variable -
     5   rval )
c
      include 'vaba_param.inc'
c
      character*80 cbname
      dimension jDof(nDof), jNodeUid(nblock), 
     1          amp(nblock), coordNp(nCoord,nblock),
     2          u(nDof,nblock), v(nDof,nblock), a(nDof,nblock),
     3          rf(nDof,nblock), rmass(nblock), rotaryI(3,3,nblock),
     4          rval(nDof,nblock)
c
      do 100 k = 1, nblock
      do 100 j = 1, nDof
         if( jDof(j) .gt. 0 ) then
            user coding to define rval(j, k)
         end if
  100 continue
c
      return
      end

Variable to be defined

rval(nDof, nblock)

Values of the prescribed variable for degrees of freedom 1–6 (translation and rotation) at the nodes. The variable can be displacement, velocity, or acceleration, depending on the type specified in the associated boundary condition. The variable type is indicated by jBCType. The variable rval has a default value that is computed as if the boundary condition is released. You only need to reset the rval if the boundary condition is active.

Variables passed in for information

nblock

Number of nodal points to be processed in this call to VDISP.

nDof

Number of degrees of freedom (equals 6).

nCoord

Number of coordinate components (equals 3).

kstep

Step number.

kinc

Increment number.

stepTime

Value of time since the step began.

totalTime

Value of total time. The time at the beginning of the step is given by totalTime-stepTime.

dtNext

Next time increment size.

dt

Current time increment size.

cbname

User-specified name corresponding to the associated boundary condition.

jBCType

Indicator for type of prescribed variable: 0 for displacement, 1 for velocity, and 2 for acceleration.

jDof(nDof)

Indicator for prescribed degrees of freedom. The values given by rval(j,k) are prescribed only if jDof(j) equals 1.

jNodeUid(nblock)

Node numbers.

amp(nblock)

Amplitude values corresponding to the associated amplitude functions. These values are passed in for information only and will not contribute to the values of the prescribed variable automatically.

coordNp(nCoord, nblock)

Nodal point coordinates.

u(nDof, nblock)

Initial displacements when stepTime is negative, and, otherwise, displacement at stepTime. All translations are included if one or more translational degrees of freedom are prescribed. All rotations are included if one or more rotational degrees of freedom are prescribed.

v(nDof, nblock)

Initial nodal velocities when stepTime is non-positive and, otherwise, mean velocities at stepTime-dt/2 during time incrementation. All translational velocities are included if one or more translational degrees of freedom are prescribed. All angular velocities are included if one or more rotational degrees of freedom are prescribed.

a(nDof, nblock)

Contains a zero value when stepTime is negative and, otherwise, the accelerations, computed without accounting for the boundary condition, at stepTime. All translational accelerations are included if one or more translational degrees of freedom are prescribed. All angular accelerations are included if one or more rotational degrees of freedom are prescribed.

rf(nDof, nblock)

Nodal point reaction at stepTime-dt. All reaction forces are included if one or more translational degrees of freedom are prescribed. All reaction moments are included if one or more rotational degrees of freedom are prescribed.

rmass(nblock)

Nodal point masses.

rotaryI(3, 3, nblock)

Nodal point rotary inertia.

Example: Imposition of acceleration on a rigid body with nonzero initial velocity

In this example a sinusoidal acceleration is imposed on the reference node of a rigid body. Nonzero initial velocity is also specified for the rigid body. User subroutine VDISP given below illustrates how the return value array is to be computed for different phases of the solution. The analysis results show that both the initial velocity and acceleration are correctly specified.

Input file

*HEADING
 Test VDISP with S4R element
*NODE, NSET=NALL
 1,
 2, 2., 0.
 3, 0., 2.
 4, 2., 2.
 9, 1., 1., 0.
*ELEMENT, TYPE=S4R, ELSET=SHELL
 10, 1,2,4,3
*SHELL SECTION, ELSET=SHELL, MATERIAL=ELSHELL
  2.0000000e-02,     3 
*MATERIAL, NAME=ELSHELL
*DENSITY
7850.0, 
*ELASTIC
  2.5000000e+11,   3.0000000e-01
*RIGID BODY, REF NODE=9, ELSET=SHELL
*INITIAL CONDITIONS, Type=VELOCITY
 9, 1, 0.4
*STEP
*DYNAMIC, EXPLICIT, DIRECT USER CONTROL
 0.01, 0.8
*BOUNDARY, USER, TYPE=ACCELERATION
 9, 1
*OUTPUT, HISTORY, TIME INTERVAL=0.01, OP=NEW
*NODE OUTPUT, NSET=NALL
 U, V, A
*END STEP

User subroutine

      subroutine vdisp(
c Read only variables -
     *   nblock, nDof, nCoord, kstep, kinc, 
     *   stepTime, totalTime, dtNext, dt, 
     *   cbname, jBCType, jDof, jNodeUid, amp,
     *   coordNp, u, v, a, rf, rmass, rotaryI, 
c Write only variable -
     *   rval )
c
      include 'vaba_param.inc'
      parameter( zero = 0.d0, half = 0.5d0, one = 1.d0 )
c
      character*80 cbname
      dimension jDof(nDof), jNodeUid(nblock), 
     *   amp(nblock), coordNp(nCoord,nblock), 
     *   u(nDof,nblock), v(nDof,nblock), a(nDof,nblock), 
     *   rf(nDof,nblock), rmass(nblock), 
     *   rotaryI(3,3,nblock), rval(nDof,nblock)
c      
c     Impose acceleration
c
      if( jBCType .eq. 2 ) then
c
         if( stepTime .lt. zero ) then
c
c           Initialization 1
c
            do 310 k=1, nblock
            do 310 j=1, nDof
               if ( jDof(j) .gt. 0 ) then
                  v0 = v(j,k)
                  rval(j,k)  = v0/dt 
               end if
310         continue
c
         else
c
c           Time incrementation
c
            amplitude = 2.0
            period = 0.8
            twopi = 6.2831853d0
c
            do 350 k=1, nblock
            do 350 j=1, nDof
               if ( jDof(j) .gt. 0 ) then
                  rval(j,k) = amplitude*
*                           sin( twopi*stepTime / period )
               end if
350         continue      
         end if
      end if
c
      return
      end