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A thin elastic cantilever plate is situated in the wake of a rigid square cylinder. Two configurations are studies. One with no initial deflection, the other with an initial deflection of approx. 2:3cm. In the initial deflection configuration, the beam is released after ten seconds.

Animated Result

Fluid velocity fringes

dam

 

 

Keywords

*KEYWORD
*TITLE
*BOUNDARY_SPC_SET_BIRTH_DEATH
*CONTROL_IMPLICIT_DYNAMICS
*CONTROL_IMPLICIT_GENERAL
*CONTROL_IMPLICIT_SOLUTION
*CONTROL_TERMINATION
*DATABASE_BINARY_D3PLOT
*DATABASE_HISTORY_NODE
*DATABASE_NODOUT
*DEFINE_CURVE_TITLE
*ELEMENT_SHELL
*ICFD_BOUNDARY_FREESLIP
*ICFD_BOUNDARY_FSI
*ICFD_BOUNDARY_NONSLIP
*ICFD_BOUNDARY_PRESCRIBED_VEL
*ICFD_BOUNDARY_PRESCRIBED_PRE
*ICFD_CONTROL_FSI
*ICFD_CONTROL_OUTPUT
*ICFD_CONTROL_TIME
*ICFD_DATABASE_DRAG
*ICFD_MAT
*ICFD_PART
*ICFD_PART_VOL
*ICFD_SECTION
*INCLUDE
*LOAD_SEGMENT_SET
*MAT_ELASTIC
*MESH_BL
*MESH_SIZE
*MESH_SURFACE_ELEMENT
*MESH_SURFACE_NODE
*MESH_VOLUME
*NODE
*PARAMETER
*PART
*SECTION_SHELL
*SET_SEGMENT
*END

Reduced Input

$-----------------------------------------------------------------------------
$
$ Example provided by Iñaki (LSTC)
$
$ E-Mail: info@dynamore.de
$ Web: http://www.dynamore.de
$
$ Copyright, 2015 DYNAmore GmbH
$ Copying for non-commercial usage allowed if
$ copy bears this notice completely.
$
$X------------------------------------------------------------------------------
$X
$X 1. Run file as is.
$X    Requires LS-DYNA MPP R8.0.0 (or higher) with double precision 
$X
$X------------------------------------------------------------------------------
$# UNITS: (kg/m/s)
$X------------------------------------------------------------------------------
$X
*KEYWORD
*TITLE
ICFD Vortex excited elastic plate
$---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
$                                                                              $
$                             PARAMETERS                                       $
$                                                                              $
$---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
*PARAMETER
R    T_end      15.0
R  dt_plot      0.25
R   fsi_bt       10.
$
$--- Fluid
$
R  v_inlet     0.315
Rrho_fluid      1.18
R mu_fluid   1.82e-5 
R dt_fluid     0.001
*INCLUDE
mesh.k
*INCLUDE
struc.k
$---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
$                                                                              $
$                           ICFD CONTROL CARDS                                 $
$                                                                              $
$---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
*ICFD_CONTROL_TIME
$#     ttm        dt
    &T_end &dt_fluid
*ICFD_CONTROL_FSI
$#     owc        bt
         0   &fsi_bt
*ICFD_CONTROL_OUTPUT
$#    mslv
         4
$---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
$                                                                              $
$                       ICFD PARTS/ SECTION/ MATERIAL                          $
$                                                                              $
$---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
*ICFD_SECTION
$#     sid   
         1
*ICFD_MAT
$#     mid       flg        ro       vis          
         1         1&rho_fluid &mu_fluid       
*ICFD_PART
$#     pid     secid       mid 
         1         1         1
*ICFD_PART
$#     pid     secid       mid 
         2         1         1
*ICFD_PART
$#     pid     secid       mid 
         3         1         1
*ICFD_PART
$#     pid     secid       mid 
         4         1         1
*ICFD_PART
$#     pid     secid       mid 
         5         1         1
*ICFD_PART
$#     pid     secid       mid 
         6         1         1
*ICFD_PART_VOL
$#     pid     secid       mid 
        10         1         1
$#   spid1     spid2     spid3     spid4     spid5     spid6
         1         2         3         4         5         6
$---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
$                                                                              $
$                    ICFD BOUNDARY/INITIAL CONDITIONS                          $
$                                                                              $
$---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
*ICFD_BOUNDARY_PRESCRIBED_VEL
$#     pid       dof       vad      lcid       
         1         1         1         1      
*ICFD_BOUNDARY_PRESCRIBED_VEL
$#     pid       dof       vad      lcid       
         1         2         1         2       
*ICFD_BOUNDARY_PRESCRIBED_PRE
$#     pid      lcid        sf     death     birth     
         2         2     
*ICFD_BOUNDARY_FREESLIP
$#     pid   
         3
*ICFD_BOUNDARY_NONSLIP
$#     pid   
         4
*ICFD_BOUNDARY_FSI
$#     pid   
         5  
*ICFD_BOUNDARY_NONSLIP
$#     pid   
         5
*DEFINE_CURVE_TITLE
Velocity inlet
$#    lcid      sidr       sfa       sfo      offa      offo    dattyp
         1               
$#                a1                  o1
                 0.0            &v_inlet
             10000.0            &v_inlet
*DEFINE_CURVE_TITLE
Pressure outlet
$#    lcid      sidr       sfa       sfo      offa      offo    dattyp
         2
$#                a1                  o1
                 0.0                 0.0
             10000.0                 0.0
$---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
$                                                                              $
$                            ICFD MESH KEYWORDS                                $
$                                                                              $
$---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
*MESH_VOLUME
$#   volid     
        10
$#    pid1      pid2      pid3      pid4      pid5          
         1         2         3         4         5         
*MESH_BL
$#     pid     nelth
         4         1
*MESH_BL
$#     pid     nelth
         5         1
*MESH_SIZE
$#   volid     
        10         
$#     pid
         6
$---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
$                                                                              $
$                             DATABASE (OUTPUT)                                $
$                                                                              $
$---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
*ICFD_DATABASE_DRAG
$#     pid
         4
*ICFD_DATABASE_DRAG
$#     pid
         5
*DATABASE_BINARY_D3PLOT
&dt_plot
*END
 

Figures

figure_001

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Description

A thin elastic cantilever plate is situated in the wake of a rigid square cylinder. Two configurations are studies. One with no initial deflection, the other with an initial deflection of approx. 2.3cm. In the initial deflection configuration, the beam is released after ten seconds.

References :

[1] W. A. Wall and E. Ramm, “Fluid structure interaction based upon a stabilized (ale) finite element method,” 1998.

[2]B. Hübner, E. Walhorn, and D. Dinkler, “A monolithic approach to fluid–structure interaction using space–time finite elements,” Computer Methods in Applied Mechanics and Engineering, vol. 193, no. 23–26, pp. 2087 – 2104, 2004.

[3] W. A. Wall, Fluid-Struktur-Interaktion mit stabilisierten Finiten Elementen. PhD thesis, Stuttgart University, 1999.