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General Mechanical

General Mechanical

Topics related to Mechanical Enterprise, Motion, Additive Print and more.

the stiffness matrix of a beam element do not match with the computed result

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    • 567
      Subscriber

      this are apdl commands:

      finish
      /clear
      /PREP7

      /NUMBER,-1
      /VIEW,1,1,1,1
      /ANG,1

      ET,1,BEAM188 ! BEAM
      SECTYPE,1,BEAM,CSOLID
      SECDATA,0.005
      MP,EX ,1,6.9E10
      MP,PRXY,1,0.3
      MP,DENS,1,2700

      zl=1

      N,1,-1*zl,0,0
      N,2,0,0,0

      TYPE,1
      secnum,1
      MAT,1
      E,1,2

      /SOLU
      ANTYPE,2
      MODOPT,LANB,10
      MXPAND,10,,,0
      SOLVE

      /AUX2
      FILE,file,full
      HBMAT,stiff,txt,,ascii,stiff,yes,yes
      HBMAT,mass,txt,,ascii,mass,yes,yes

      The exported stiffness matrix is shown in the following diagram:

      ansysstiffness:

      The stiffness matrix is calculated as 

      The calculation result of ansysstiffness(2,2) does not match the formula

      i do not know why!

      thank you very much;

       

    • mrife
      Ansys Employee

      Hi 567

      Here is a hint: what beam theory does MAPDL use and is it the same as what you are comparing to....?  

      MAPDL beams are based on Timoshenko beam theory.  Whereas the stiffness matrix shown is based on Euler-Bernoulli beam theory.  Timoshenko accounts for shear deformation and rotary inertia effect (that E-B does not), but the resulting beam stiffness is slightly lower than E-B theory.  

      Mike

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