chapter 12 連桿與桁架結構分析 analysis of links and trusses

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Chapter 12 連連連連連連連連連 Analysis of Links and Trusses

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Page 1: Chapter 12 連桿與桁架結構分析 Analysis of Links and Trusses

Chapter 12

連桿與桁架結構分析Analysis of Links and Trusses

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Contents

12.1 LINK1: 2D連桿元素LINK1: 2D Link Element

12.2 實例 : 桁架設計Example: Analysis of a Truss Structure

12.3 實例 : 超靜定柱子之反力計算Example: Statically Indeterminate Reaction Force Analysi

s

12.4 實例 : 熱應力計算Example: Thermally Loaded Support Structure

12.5 連桿元素瀏覽Overview of Link Elements

12.6 練習題Exercises

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第 12.1節

LINK1: 2D連桿元素LINK1: 2D Link Element

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12.1.1 LINK1元素描述

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12.1.2 LINK1輸入資料Element Name LINK1

Nodes I, J

Degrees of Freedom UX, UY

Real Constants AREA, ISTRN

Material Properties EX, ALPX, DENS, DAMP

Surface Loads None

Body Loads Temperature -- T(I), T(J)

Special Features Plasticity, Creep, Stress stiffening, Large deflection

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12.1.3 LINK1輸出資料

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第 12.2節

實例 : 桁架設計Example: Analysis of a Truss Structure

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11.2.1 問題描述120 120 120 120 120

60

60

120

120

180

180

5000 lb 5000 lb

Unit of dimension: in.Material: SteelAll section areas = 5 in2

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12.2.2 ANSYS Procedure (1/3)

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FINISH

/CLEAR

/UNITS, BIN

  YOUNG = 29E6 ! Young’s modulus

  AREA  = 5 ! Cross-sectional area

  LOAD  = 5000 ! Design load

/PREP7

  ET, 1, LINK1

  MP, EX, 1, YOUNG

  R, 1, AREA

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11.2.2 ANSYS Procedure (2/3)15

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  N,  1,   0,   0

  N,  2,  180,   0

  N,  3,   0, 180

  N,  4,  180, 180

  N,  5,   30, 300

  N,  6,  150, 300

  N,  7,   30, 420

  N,  8,  150, 420

  N,  9,  -90, 480

  N, 10,  270, 480

  N, 11, -210, 540

  N, 12,  -90, 540

  N, 13,   30, 540

  N, 14,  150, 540

  N, 15,  270, 540

  N, 16,  390, 540

  EN,  1,  1,  2

  EN,  2,  3,  4

  EN,  3,  5,  6

  EN,  4,  7,  8

  EN,  5, 11, 12

  EN,  6, 12, 13

  EN,  7, 13, 14

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  EN,  8, 14, 15

  EN,  9, 15, 16

  EN, 10,  1,  3

  EN, 11,  2,  4

  EN, 12,  3,  5

  EN, 13,  4,  6

  EN, 14,  5,  7

  EN, 15,  6,  8

  EN, 16,  7,  9

  EN, 17,  8, 10

  EN, 18,  9, 11

  EN, 19, 10, 16

  EN, 20,  9, 12

  EN, 21,  7, 13

  EN, 22,  8, 14

  EN, 23, 10, 15

  EN, 24,  1,  4

  EN, 25,  4,  5

  EN, 26,  5,  8

  EN, 27,  9, 13

  EN, 28,  8, 13

  EN, 29, 10, 14

  FINISH

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11.2.2 ANSYS Procedure (3/3)63

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/SOLU

  D,  1, UY, 0

  D,  2, UX, 0

  D,  2, UY, 0

  F, 11, FY, -LOAD

  F, 16, FY, -LOAD

  /PNUM, NODE, 1

  /PNUM, ELEM, 1

  /PBC, ALL,, 1

  EPLOT

  SOLVE

  FINISH

 

/POST1

  PLDISP, 2

  ETABLE, MFORCE, SMISC, 1

  ETABLE, STRESS, LS, 1

  ETABLE, STRAIN, LEPEL, 1

  PRETAB, MFORCE, STRESS, STRAIN

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第 12.3節

實例 : 超靜定柱子之反力計算Example: Statically Indeterminate Reaction F

orce Analysis

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12.3.1 問題描述

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12.3.2 ANSYS Procedure (1/2)01

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FINISH

/CLEAR

/UNITS, BIN

/PREP7

  ET, 1, LINK1

  R, 1, 1

  MP, EX, 1, 30E6

  N, 1, 0   0

  N, 2, 0,  4

  N, 3, 0,  7

  N, 4, 0, 10

  E, 1, 2

  E, 2, 3

  E, 3, 4

  FINISH

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12.3.2 ANSYS Procedure (2/2)19

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/SOLU

  D, 1, ALL, 0

  D, 4, ALL, 0

  F, 2, FY, -500

  F, 3, FY, -1000

/PNUM, NODE, 1

/PNUM, ELEM, 1

/PBC, ALL,, 1

EPLOT

  SOLVE

  FINISH

/POST1

  PRRSOL

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第 12.4節

實例 : 熱應力計算Example: Thermally Loaded Support Structure

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12.4.1 問題描述

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12.4.2 ANSYS Procedure (1/2)01

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FINISH

/CLEAR

/UNITS, BIN

/PREP7

  ET, 1, LINK1

  R, 1, .1

  MP,   EX, 1,   16E6

  MP, ALPX, 1, 9.2E-6

  MP,   EX, 2,   30E6

  MP, ALPX, 2, 7.0E-6

  N, 1, -10,   0

  N, 3,  10,   0

  FILL

  N, 4, -10, -20

  N, 6,  10, -20  

  FILL

  E, 1, 4

  E, 3, 6

  MAT, 2

  E, 2, 5

CP, 1, UY, 5, 4, 6

  FINISH

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12.4.2 ANSYS Procedure (2/2)26

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/SOLU

  D, 1, ALL, 0,, 3, 1

  F, 5, FY, -4000

  TREF, 70

  BFUNIF, TEMP, 80

/PNUM, NODE, 1

/PNUM, ELEM, 1

/PBC, ALL,, 1

EPLOT

  SOLVE

  FINISH

/POST1

                              

  ETABLE, STRESS, LS, 1      

  PRETAB, STRESS

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第 12.5節

連桿元素瀏覽Overview of Link Elements

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12.5.1 General Structural Links

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12.5.2 Finite Strain Link

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12.5.3 Tension-Only Structural Link

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12.5.4 Explicit Dynamics

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12.5.5 Conduction Links

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12.5.6 Convection Link

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12.5.7 Radiation Link

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12.5.8 Coupled-Field Link

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第 12.6節

練習題Exercises