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Apply bending moment on a cylinder meshed with SHELL93

Apply bending moment on a cylinder meshed with SHELL93

Apply bending moment on a cylinder meshed with SHELL93

(OP)
Hi,
A cylinder with internal diameter d=0.09 mm, external diameter D=0.11 mm, and the length L=100mm.One end is fixed,and apply a bending moment 1mm.N on the other one.We can get the maximum deflection equals about 7.56 mm with formula.
  I did it with ANSYS in two ways:
  1. built a mass element at the center of the end, rigid the end, and applied the moment on the mass element.
  2. average the moment and applied on all the nodes at the end.

The results shows that way NO.1 get a very close value with the formula one.So I think this way is good.
However, when I check the reaction solution, both the ways are not godd. I think the reaction moment should be equal with what I applied. But it is not. I wonder why. Is there anybody know about this.Thank you!

Rock

Here below you can find the commands I used:
/PREP7  
ET,1,SHELL93
R,1,0.01, , , , , ,
MPTEMP,,,,,,,,  
MPTEMP,1,0  
MPDATA,EX,1,,2.1E5  
MPDATA,PRXY,1,,0.3  
K, ,,,,
K, ,,,10,   
PCIRC,0.1, ,0,360,  
LSTR,       1,       2  
FLST,2,4,4,ORDE,2   
FITEM,2,1   
FITEM,2,-4  
ADRAG,P51X, , , , , ,       5   
MSHAPE,0,2D
MSHKEY,0
FLST,5,4,5,ORDE,2   
FITEM,5,2   
FITEM,5,-5  
CM,_Y,AREA  
ASEL, , , ,P51X
CM,_Y1,AREA
CHKMSH,'AREA'   
CMSEL,S,_Y  
AMESH,_Y1   
CMDELE,_Y   
CMDELE,_Y1  
CMDELE,_Y2  
SMRT,6  
FLST,5,4,5,ORDE,2   
FITEM,5,2   
FITEM,5,-5  
CM,_Y,AREA  
ASEL, , , ,P51X
CM,_Y1,AREA
CHKMSH,'AREA'   
CMSEL,S,_Y  
ACLEAR,_Y1  
AMESH,_Y1   
CMDELE,_Y   
CMDELE,_Y1  
CMDELE,_Y2  
FLST,3,5,5,ORDE,2   
FITEM,3,1   
FITEM,3,-5  
AGEN,2,P51X, , , ,-5, , ,0  
ET,2,MASS21
R,2,1,1,1, , , ,
NKPT,0,       2
TYPE,   2   
MAT,       1
REAL,       2   
ESYS,       0   
SECNUM,
TSHAP,LINE  
E,   17825  
FLST,5,33,1,ORDE,11
FITEM,5,5   
FITEM,5,-8  
FITEM,5,37  
FITEM,5,-43
FITEM,5,782
FITEM,5,-788
FITEM,5,1158
FITEM,5,-1164   
FITEM,5,1534
FITEM,5,-1540   
FITEM,5,17825   
NSEL,S, , ,P51X
FLST,5,32,1,ORDE,10
FITEM,5,5   
FITEM,5,-8  
FITEM,5,37  
FITEM,5,-43
FITEM,5,782
FITEM,5,-788
FITEM,5,1158
FITEM,5,-1164   
FITEM,5,1534
FITEM,5,-1540   
/NOPR   
CM,_NODECM,NODE
*SET,_z1,   17825   
NSEL,S, , ,P51X
NSEL,A, , ,_Z1  
CM,_CERGCM,NODE
CMSEL,S,_NODECM
/GO
/NOPR   
CMSEL,S,_CERGCM
/GO
CERIG,17825,ALL,ALL, , , ,  
/NOPR   
CMSEL,S,_NODECM
/GO
ALLSEL,ALL  
FLST,2,8,4,ORDE,4   
FITEM,2,1   
FITEM,2,-4  
FITEM,2,14  
FITEM,2,-17
/GO
DL,P51X, ,ALL,  
SBCTRAN
FLST,2,1,1,ORDE,1   
FITEM,2,17825   
/GO
F,P51X,MX,1   
FLST,2,32,1,ORDE,11
FITEM,2,8922
FITEM,2,9292
FITEM,2,-9299   
FITEM,2,11520   
FITEM,2,11890   
FITEM,2,-11896  
FITEM,2,13748   
FITEM,2,14118   
FITEM,2,-14124  
FITEM,2,15975   
FITEM,2,-15981  
/GO
F,P51X,MX,1/32
ALLSEL  
FINISH  
/SOL
SOLVE

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