Chapter 10

板殼結構分析Analysis of Plates and Shells

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Contents

10.1 SHELL63: 板殼結構元素SHELL63: Structural Shell Element

10.2 實例 : C型斷面懸臂樑Example: Channel Section Cantilever Be

am

10.3 實例 : 氣曩之充氣模擬Example: Inflation of an Airbag

10.4 板殼元素瀏覽Overview of Shell Elements

10.5 練習題 : 懸臂樑分析Analysis of Cantilevel Beam

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第 10.1節

SHELL63: 板殼結構元素SHELL63: Structural Shell Element

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10.1.1 SHELL63元素描述

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10.1.2 SHELL63輸入資料Element Name SHELL63

Nodes I, J, K, L

Degrees of Freedom UX, UY, UZ, ROTX, ROTY, ROTZ

Real Constants TK(I), TK(J), TK(K), TK(L), EFS, THETA, RMI, CTOP, CBOT, …, ADMSUA, etc.

Material Properties EX, NUXY, GXY, ALPX, DENS, DAMP, etc.

Surface Loads Pressureface 1, face 2, face 3, face 4, face 5, face 6

Body Loads Temperature -- T(1), T(2), T(3), T(4), T(5), T(6), T(7), T(8)

Special Features Stress stiffening, Large deflection, etc.

KEYOPT(1) 0 -- Bending and membrane stiffness1 -- Membrane stiffness only2 -- Bending stiffness only

KEYOPT(3) Key for inclusion of extra displacement shapes

KEYOPT(5) Key for element solution

etc.

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10.1.3 SHELL63輸出資料

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第 10.2節

實例 : C型斷面懸臂樑Example: Channel Section Cantilever Beam

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10.2.1 問題描述

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10.2.2 ANSYS Procedure (1/4)01

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FINISH

/CLEAR

/TITLE, C6X8.2 Section Cantilever Beam

/UNITS, BIN

  D  = 6 ! Depth

  BF = 1.92 ! Flange width

  TW = 0.2 ! Thickness of web

  TF = 0.3125 ! Thickness of flange

  L  = 36 ! Length

  E  = 30E6 ! Young's modulus

  NU = 0.3 ! Poisson's Ratio

  P  = 2400 ! Load

  SZ = 1.2 ! Element size

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10.2.2 ANSYS Procedure (2/4)16

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/PREP7

  ET, 1, SHELL63

  MP, EX, 1, E

  MP, NUXY, 1, NU

  R, 1, TW

  R, 2, TF

  /VIEW,, 1, 2, 3

  K, 1, 0, 0, BF

  K, 2, 0, 0, 0

  K, 3, 0, D, 0

  K, 4, 0, D, BF

  K, 5, L, 0, BF

  K, 6, L, 0, 0

  K, 7, L, D, 0

  K, 8, L, D, BF

  A, 1, 2, 6, 5

  A, 2, 3, 7, 6

  A, 4, 3, 7, 8

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  ESIZE, SZ

  MSHAPE, 0, 2D

  MSHKEY, 1

  REAL, 1

  AMESH, 2

  REAL, 2

  AMESH, 1, 3, 2

  FINISH

 

/SOLU

  NSEL, S, LOC, X, 0

  D, ALL, ALL, 0

  ALLSEL

  ND = NODE(L,D,BF)

  F, ND, FY, -P

  /PBC, ALL,, ON

  EPLOT

 

  SOLVE

  FINISH

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10.2.2 ANSYS Procedure (3/4)59

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/POST1

  PLDISP, 2

  PLNSOL, S, X

  /VIEW,, 1, 0, 0

  PLDISP, 2

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10.2.2 ANSYS Procedure (4/4)59

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/POST1

  PLDISP, 2

  PLNSOL, S, X

  /VIEW,, 1, 0, 0

  PLDISP, 2

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第 10.3節

實例 : 氣曩之充氣模擬Example: Inflation of an Airbag

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10.3.1 問題描述

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10.3.2 ANSYS Procedure (1/6)

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FINISH

/CLEAR

/TITLE, Inflation of Air Bag

/UNITS, SI

  RO = 1000! Mass density

  E  = 2E9 ! Young's Modulus

  NU = 0.4 ! Poisson's Ratio

  T  = 0.0025 ! Thickness

  R  = 0.25 ! Radius of air bag

  P  = 0.5E5 ! Pressure

  DV = 20 ! Number of divisions

  TM = 0.1 ! Inflation time

  DT = 0.001 ! Integration time step

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10.3.2 ANSYS Procedure (2/6)16

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/PREP7

  ET, 1, SHELL63

  MP, EX, 1, E

  MP, NUXY, 1, NU

  MP, DENS, 1, RO

  R, 1, T

  CSYS, 1

  PCIRC, R,, 0, 30

  LESIZE, 1, 0.005

  LESIZE, 2,,, 20, 5

  LESIZE, 3,,, 20, 1/5

  MSHAPE, 0, 2D

  MSHKEY, 0

  AMESH, ALL

  NROTAT, ALL

  CNODE = NODE(0,0,0)

  ENODE = NODE(R,0,0)

  FINISH

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10.3.2 ANSYS Procedure (3/6)

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/SOLU

  NSEL, S, LOC, Y, 0

  NSEL, A, LOC, Y, 30

  DSYM, SYMM, Y, 1

  NSEL, S, LOC, X, R

  D, ALL, UZ, 0

  D, ALL, ROTX, 0

  ALLSEL

  SFE, ALL, 1, PRES,, P

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  ANTYPE, TRANS

  NLGEOM, ON

  SSTIF, ON

  KBC, 0

  TIME, TM

  DELTIM, DT

  OUTRES, NSOL, ALL

  SOLVE

  TIME, 1

  DELTIM, 0.01

  SOLVE

  FINISH

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10.3.2 ANSYS Procedure (4/6)

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/POST1

  SET, LAST

  /VIEW,, 1, -90, 0

  /VUP,, Z

  PLDISP, 2

  /VIEW,, 0, 0, 1

  /VUP,, Y

  PLDISP, 2

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10.3.2 ANSYS Procedure (5/6)

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  SHELL, MID

  RSYS, 1

  PLNSOL, S, X

  PLNSOL, S, Y

  FINISH

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10.3.2 ANSYS Procedure (6/6)83

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/POST26

  NSOL, 2, CNODE, U, Z

  PLVAR, 2

  NSOL, 3, ENODE, U, X

  PLVAR, 3

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10.3.3 Simulation Results Using LS-DYNA (1/2)

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10.3.3 Simulation Results Using LS-DYNA (2/2)

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第 10.4節

板殼結構元素瀏覽Overview of Shell Elements

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10.4.1 Elastic Shells

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10.4.2 Plastic Shells

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10.4.3 Large Strain Shell

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10.4.4 Membrane and Shear Panel

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10.4.5 Axisymmetric Shell

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10.4.6 Layer Shells

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10.4.7 P-Element

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10.4.8 Explicit Dynamics

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10.4.9 Thermal Shell

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10.4.10 Coupled-Field Shell

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第 10.5節

練習題 : 懸臂樑分析Exercise: Analysis of Cantilever Beam