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[结构分析] ansys模态分析,beam3和beam188,solid45

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发表于 2013-6-27 17:04 | 显示全部楼层 |阅读模式

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两种单元的结果为什么相差那么大,我添加了附加质量 ,beam188质量单元设置为ux uy uz ixx iyy izz ,beam3单元设置为ux uy uz ,当不加附加质量的简支梁用平面钢架单元matlab计算结果一致,为什么添加了附加质量,结果相差那么大(数据上有点小小误差)平面钢架元刚度矩阵
c=E*I/(L^3);
y=[E*A/L   0           0            -E*A/L     0          0;...
     0   12*c        6*L*c      0    -12* c      6*L*c;...
     0   6*L*c    4*L^2*c    0    -6*L*c   2*L^2*c;...
    -E*A/L   0           0             E*A/L     0          0;...
     0  -12*c       -6*L*c      0     12*c      -6*L*c;...
     0   6*L*c    2*L^2*c    0    -6*L*c   4*L^2*c];
质量单元
  m = (rho*A*L/420)*[140      0      0   70      0      0;
                      0    156   22*L    0     54   -13*L;
                      0   22*L  4*L^2    0   13*L  -3*L^2;
                     70      0      0  140      0       0 ;
                      0     54   13*L    0    156   -22*L;
                      0  -13*L   -3*L^2    0  -22*L  4*L^2 ] ;


beam188单元模型
  1. FINISH
  2. /CLEAR
  3. /prep7
  4.                                                    
  5. MP,EX,1,2.06E11  !ex: 弹性模量
  6. MP,DENS,1,7850  !密度
  7. MP,GXY,1,1E12   !gxy为剪切模量
  8. MP,PRXY,1,0.3  !泊松比
  9. ET,1,beam188,,,2   !=0时 (默认), 每节点有6个自由度。 分别是沿x,y,z的位移及绕其的转动。

  10. *DIM,DIAM,ARRAY,16  !定义直径数组
  11. DIAM(1) = 0.015
  12. DIAM(2) = 0.016
  13. DIAM(3) = 0.017
  14. DIAM(4) = 0.017
  15. DIAM(5) = 0.0205
  16. DIAM(6) = 0.029
  17. DIAM(7) = 0.0217
  18. DIAM(8) = 0.030
  19. DIAM(9) = 0.020
  20. DIAM(10) = 0.017
  21. DIAM(11) = 0.017
  22. DIAM(12) = 0.0205
  23. DIAM(13) = 0.017
  24. DIAM(14) = 0.017
  25. DIAM(15) = 0.016
  26. DIAM(16) = 0.0125

  27. *DO,I,1,16
  28.    SECTYPE,I,BEAM,CTUBE     !截面类型ID: 截面号TYPE: BEAM:定义此截面用于梁  CSOLID:圆形实心截面CTUBE: 圆管
  29.   SECDATA,0.004,DIAM(I)/2,40  !Ri, Ro, N
  30. *ENDDO

  31. ET,3,COMBIN14                                              ! ELEMENT TYPE #3 : BEARINGS
  32. KEYOPT,3,2,2                                                 ! Y DIRECTION
  33. ET,4,COMBIN14
  34. KEYOPT,4,2,3                                                 ! Z DIRECTION
  35. R,30,164E+6                                              ! BEARINGS


  36. ET,32,mass21
  37. R,32,0.0248,0.0248,0.0248,0.0324,0.0162,0.0162
  38. ET,33,mass21
  39. R,33,0.0577,0.0577,0.0577,0.1188,0.05941,0.05941
  40. ET,34,mass21
  41. R,34,0.0577,0.0577,0.0577,0.1188,0.05941,,0.05941
  42. ET,38,mass21
  43. R,38,0.134,0.134,0.134,0.7199,0.3599,,0.3599
  44. ET,313,mass21
  45. R,313,0.0577,0.0577,0.0577,0.1188,0.05942,,0.05942
  46. ET,314,mass21
  47. R,314,0.0577,0.0577,0.0577,0.1188,0.05942,0.05942
  48. ET,315,mass21
  49. R,315,0.02051,0.02051,0.02051,0.0280,0.014,0.014
  50. ET,316,mass21
  51. R,316,0.06647,0.06647,0.06647,0.01235,0.06176,0.06176

  52. N,1,0
  53. N,2,0.0165
  54. N,3,0.03
  55. N,4,0.034
  56. N,5,0.044
  57. N,6,0.049
  58. N,7,0.0555
  59. N,8,0.0585
  60. N,9,0.065
  61. N,10,0.1122
  62. N,11,0.1172
  63. N,12,0.1377
  64. N,13,0.1427
  65. N,14,0.1527
  66. N,15,0.1575
  67. N,16,0.164
  68. N,17,0.187

  69. BRG =0                                                        ! BEARING "LENGTH" FOR VISUALISATION
  70. N,18,0.034,BRG
  71. N,19,0.044,BRG
  72. N,20,0.1427,BRG
  73. N,21,0.1527,BRG
  74. N,22,0.034,,BRG
  75. N,23,0.044,,BRG
  76. N,24,0.1427,,BRG
  77. N,25,0.1527,,BRG


  78. TYPE,1
  79. MAT,1                                             
  80. *DO,I,1,16
  81.   E,I,I+1
  82. SECNUM,I                    !指定梁的截面号
  83.   *ENDDO   


  84. n,400001,0.022,0,0
  85. n,400002,0.085,0,0
  86. n,400003,0.1574,0,0
  87. n,400004,0.1755,0,0

  88. TYPE,32   !建立质量单元
  89. real,32
  90. e,400001
  91. TYPE,33
  92. real,33
  93. e,18
  94. TYPE,34
  95. real,34
  96. e,19
  97. TYPE,38
  98. real,38
  99. e,400002
  100. TYPE,313
  101. real,313
  102. e,20
  103. TYPE,314
  104. real,314
  105. e,21
  106. TYPE,315
  107. real,315
  108. e,400003
  109. TYPE,316
  110. real,316
  111. e,400004


  112. TYPE,3                                                    ! y向弹簧单元
  113. REAL,30
  114. E,18,4
  115. E,19,5
  116. E,21,14
  117. E,20,13
  118. TYPE,4                                                    ! z向弹簧单元
  119. REAL,30
  120. E,22,4
  121. E,23,5
  122. E,24,13
  123. E,25,14
  124. FINI


  125. eplot
  126. finish

  127. /SOLU
  128. D,18,ALL
  129. D,19,ALL
  130. D,20,ALL
  131. D,21,ALL
  132. D,22,ALL
  133. D,23,ALL
  134. D,24,ALL
  135. D,25,ALL
  136. D,ALL,UX                                                  ! 不考虑扭转和轴向移动
  137. D,ALL,ROTX

  138. /SOLU
  139. ANTYPE,MODAL
  140. CORIOLIS,ON,,,ON                                    
  141. MODOPT,QRDAMP,30,,,ON
  142. MXPAND,30
  143. SOLVE


复制代码
beam3模型
  1. finish
  2. /clear
  3. /prep7

  4. RO = 7850                                                        
  5. PEX = 2.06E11                                    
  6. MP,EX,1,PEX   !ex: 弹性模量
  7. MP,DENS,1,RO  !密度
  8. MP,GXY, 1,EX/2.6
  9. MP,PRXY,1,0.3
  10. ET,1,beam3,,,

  11. ET,32,mass21        !mass ux uy uz
  12. keyopt,32,3,4
  13. R,32,0.0248,0.0248,0.0248
  14. ET,33,mass21
  15. keyopt,33,3,4
  16. R,33,0.0577,0.0577,0.0577
  17. ET,34,mass21
  18. keyopt,34,3,4
  19. R,34,0.0577,0.0577,0.0577,
  20. ET,38,mass21
  21. keyopt,38,3,4
  22. R,38,0.134,0.134,0.134
  23. ET,313,mass21
  24. keyopt,313,3,4
  25. R,313,0.0577,0.0577,0.0577
  26. ET,314,mass21
  27. keyopt,314,3,4
  28. R,314,0.0577,0.0577,0.0577
  29. ET,315,mass21
  30. keyopt,315,3,4
  31. R,315,0.02051,0.02051,0.02051
  32. ET,316,mass21
  33. keyopt,316,3,4
  34. R,316,0.06647,0.06647,0.06647

  35. ET,2,COMBIN14                                              ! ELEMENT TYPE #3 : BEARINGS
  36. keyopt,2,2,2
  37. R,2,164e6
  38. ET,3,COMBIN14                                              ! ELEMENT TYPE #3 : BEARINGS
  39. keyopt,3,2,3
  40. R,3,164e6

  41. *DIM,DIAM,ARRAY,16  !定义直径数组
  42. DIAM(1) = 15E-3
  43. DIAM(2) = 16E-3
  44. DIAM(3) = 17E-3
  45. DIAM(4) = 17E-3
  46. DIAM(5) = 20.5E-3
  47. DIAM(6) = 29E-3
  48. DIAM(7) = 21.7E-3
  49. DIAM(8) = 21E-3
  50. DIAM(9) = 20E-3
  51. DIAM(10) = 17E-3
  52. DIAM(11) = 17E-3
  53. DIAM(12) = 20.5E-3
  54. DIAM(13) = 17E-3
  55. DIAM(14) = 17E-3
  56. DIAM(15) = 16E-3
  57. DIAM(16) = 12.5E-3

  58. *DIM,AERA,ARRAY,16  !定义横截面面积数组
  59. AERA(1)  =   0.000126449104
  60. AERA(2)  =  0.000150796447
  61. AERA(3)  =  0.000176714587
  62. AERA(4)  = 0.000176714587
  63. AERA(5)  =  0.0002797980
  64. AERA(6)  =  0.000610254372
  65. AERA(7)  =  0.0003195707
  66. AERA (8) =   0.0002960951
  67. AERA(9)  =   0.0002638938
  68. AERA(10)  =   0.00017671459
  69. AERA(11)  =   0.00017671459
  70. AERA(12)  = 0.00027979808
  71. AERA(13) =  0.00017671459
  72. AERA(14) =  0.00017671459
  73. AERA (15) =  0.00015079645
  74. AERA(16)  = 0.00007252981

  75. *DIM,IZZ,ARRAY,16  !定义截面惯性矩数组
  76. IZZ(1) = 0.022839869465450E-7
  77. IZZ(2) =   0.030159289474462E-7
  78. IZZ(3) =  0.038987655704901E-7
  79. IZZ(4) =  0.038987655704901E-7
  80. IZZ(5) =   0.084682642404833E-7
  81. IZZ(6) =   0.084682642404833E-7
  82. IZZ(7) = 0.106834468521627E-7
  83. IZZ(8) =   0.093455018336514E-7
  84. IZZ(9) =  0.076529197041447E-7
  85. IZZ(10) =  0.038987655704901E-7
  86. IZZ(11) =   0.038987655704901E-7
  87. IZZ(12) =   0.084682642404833E-7
  88. IZZ(13) =  0.038987655704901E-7
  89. IZZ(14) =0.038987655704901E-7
  90. IZZ(15) = 0.030159289474462E-7
  91. IZZ(16) =   0.009973605607059E-7

  92. *DO,I,1,16  
  93. R,1,AERA(I),IZZ(I),DIAM(I)
  94. *ENDDO   

  95. N,1,0
  96. N,2,0.0164
  97. N,3,0.029
  98. N,4,0.039
  99. N,5,0.049
  100. N,6,0.0555
  101. N,7,0.0585
  102. N,8,0.065
  103. N,26,0.09
  104. N,9,0.1122
  105. N,10,0.1172
  106. N,11,0.1222
  107. N,12,0.1272
  108. N,13,0.1377
  109. N,14,0.1477
  110. N,15,0.1577
  111. N,16,0.164
  112. N,17,0.187

  113. TYPE,1                                               
  114. *DO,I,1,16  
  115.   E,I,I+1
  116.   *ENDDO      

  117. TYPE,32
  118. real,32
  119. e,2

  120. TYPE,33
  121. real,33
  122. e,3

  123. TYPE,34
  124. real,34
  125. e,4

  126. TYPE,38
  127. real,38
  128. e,26

  129. TYPE,313
  130. real,313
  131. e,13

  132. TYPE,314
  133. real,314
  134. e,14

  135. TYPE,315
  136. real,315
  137. e,15

  138. TYPE,316
  139. real,316
  140. e,16

  141. BRG =0                                                        ! BEARING "LENGTH" FOR VISUALISATION
  142. N,18,0.039,BRG
  143. N,19,0.039,0,BRG
  144. N,20,0.049,BRG
  145. N,21,0.049,0,BRG
  146. N,22,0.1477,BRG
  147. N,23,0.1477,0,BRG
  148. N,24,0.1577,BRG
  149. N,25,0.1577,0,BRG

  150. TYPE,2                                                    ! CREATE BEARING ELEMENTS
  151. REAL,2
  152. E,18,4
  153. E,19,4
  154. E,20,5
  155. E,21,5
  156. TYPE,3                                                    ! CREATE BEARING ELEMENTS
  157. REAL,3
  158. E,22,14
  159. E,23,14
  160. E,24,15
  161. E,25,15
  162. finish


  163. /SOLU
  164. D,18,ALL
  165. D,19,ALL
  166. D,20,ALL
  167. D,21,ALL
  168. D,22,ALL
  169. D,23,ALL
  170. D,24,ALL
  171. D,25,ALL



  172. /SOLU
  173. ANTYPE,MODAL                                    
  174. MODOPT,lanb,20,,,ON
  175. MXPAND,20
  176. SOLVE
  177. finish
复制代码
solid45模型


  1. FINISH
  2. /CLEAR
  3. /TITLE,MODAL analysis
  4. /FILENAME,MODAL analysis
  5. /Units,SI  !公制单位
  6. /Show
  7. /PREP7
  8. !定义单元类型
  9. ET,1,PLANE42
  10. ET,2,solid45
  11. ET,32,mass21        !mass ux uy uz
  12. keyopt,32,3,4
  13. R,32,0.0248,0.0248,0.0248
  14. ET,33,mass21
  15. keyopt,33,3,4
  16. R,33,0.0577,0.0577,0.0577
  17. ET,34,mass21
  18. keyopt,34,3,4
  19. R,34,0.0577,0.0577,0.0577,
  20. ET,38,mass21
  21. keyopt,38,3,4
  22. R,38,0.134,0.134,0.134
  23. ET,313,mass21
  24. keyopt,313,3,4
  25. R,313,0.0577,0.0577,0.0577
  26. ET,314,mass21
  27. keyopt,314,3,4
  28. R,314,0.0577,0.0577,0.0577
  29. ET,315,mass21
  30. keyopt,315,3,4
  31. R,315,0.02051,0.02051,0.02051
  32. ET,316,mass21
  33. keyopt,316,3,4
  34. R,316,0.06647,0.06647,0.06647

  35. ET,2,COMBIN14                                              ! ELEMENT TYPE #3 : BEARINGS
  36. keyopt,2,2,2
  37. R,2,164e6
  38. ET,3,COMBIN14                                              ! ELEMENT TYPE #3 : BEARINGS
  39. keyopt,3,2,3
  40. R,3,164e6

  41. !定义材料属性
  42. MP,DENS,1,7800  !密度
  43. MP,EX,1,2.11e11 !弹性模量
  44. MP,PRXY,1,0.3    !泊松比
  45. R,1,82e6,0,0, , ,0,   !实常数
  46. !建模
  47. rectng,0,0.03,0.004,0.008                      !!!!!!!!!!!
  48. rectng,0.03,0.034,0.004,0.0085                    !!!!!!!!!!!!!
  49. rectng,0.034,0.044,0.004,0.0085
  50. rectng,0.044,0.049,0.004,0.0085
  51. rectng,0.049,0.0555,0.004,0.01025
  52. rectng,0.0555,0.0585,0.004,0.0145
  53. rectng,0.0585,0.065,0.004,0.011
  54. rectng,0.065,0.117,0.004,0.018
  55. rectng,0.117,0.138,0.004,0.011                  !!!!!!!!
  56. rectng,0.138,0.143,0.004,0.0085
  57. rectng,0.143,0.153,0.004,0.0085
  58. rectng,0.153,0.164,0.004,0.0085
  59. rectng,0.164,0.187,0.004,0.00625
  60. aadd,all

  61. lesize,1,,,15
  62. lesize,3,,,15
  63. lesize,53,,,3
  64. lesize,7,,,3
  65. lesize,55,,,8
  66. lesize,56,,,8
  67. lesize,57,,,3
  68. lesize,58,,,3
  69. lesize,19,,,5
  70. lesize,59,,,5

  71. lesize,23,,,3
  72. lesize,61,,,3
  73. lesize,27,,,5
  74. lesize,63,,,5

  75. lesize,31,,,26
  76. lesize,65,,,26
  77. lesize,35,,,7   
  78. lesize,67,,,7
  79. lesize,39,,,2  
  80. lesize,69,,,2
  81. lesize,72,,,5
  82. lesize,71,,,5
  83. lesize,74,,,5
  84. lesize,73,,,5
  85. lesize,51,,,8
  86. lesize,75,,,8

  87. lesize,68,,,3
  88. lesize,70,,,1
  89. lesize,76,,,1
  90. lesize,50,,,1

  91. lesize,54,,,1
  92. lesize,66,,,3
  93. lesize,4,,,2
  94. lesize,60,,,1

  95. type,1
  96. amesh,all

  97. k,53,0,0,0
  98. k,54,0.187,0,0

  99. TYPE,2  
  100. MAT,1
  101. !扫掠体
  102. EXTOPT,ESIZE,10,0,
  103. EXTOPT,ACLEAR,1
  104. VROTAT,all, , , , , ,53,54,360,2,
  105. EPLOT
  106. NPLOT
  107. N,300001,0.034,0.0185,0,,,,
  108. N,300002,0.034,-0.0185,0,,,,
  109. N,300003,0.034,    0,           0.0185,,,,
  110. N,300004,0.034,      0,           -0.0185,,,,
  111. N,300005,0.044,   0.0185,  0,,,,
  112. N,300006,0.044,  -0.0185, 0,,,,
  113. N,300007,0.044,       0,            0.0185,,,,
  114. N,300008,0.044,        0,           -0.0185,,,,
  115. N,300009,0.143,0.0185,0,,,,
  116. N,300010,0.143,-0.0185,0,,,,
  117. N,300011,0.143,0,0.0185,,,,
  118. N,300012,0.143,0,-0.0185,,,,
  119. N,300013,0.153,0.0185,0,,,,
  120. N,300014,0.153,-0.0185,0,,,,
  121. N,300015,0.153,0,0.0185,,,,
  122. N,300016,0.153,0,-0.0185,,,,
  123. !

  124. !
  125. n200001=node(0.034,0.0085,0)
  126. n200002=node(0.034,-0.0085,0)
  127. n200003=node(0.034,0,0.0085)
  128. n200004=node(0.034,0,-0.0085)
  129. !
  130. n200005=node(0.044,0.0085,0)
  131. n200006=node(0.044,-0.0085,0)
  132. n200007=node(0.044,0,0.0085)
  133. n200008=node(0.044,0,-0.0085)
  134. !
  135. n200009=node(0.143,0.0085,0)
  136. n200010=node(0.143,-0.0085,0)
  137. n200011=node(0.143,0,0.0085)
  138. n200012=node(0.143,0,-0.0085)
  139. !
  140. n200013=node(0.153,0.0085,0)
  141. n200014=node(0.153,-0.0085,0)
  142. n200015=node(0.153,0,0.0085)
  143. n200016=node(0.153,0,-0.0085)
  144. !


  145. n400001=node(0.022,0.008,0)
  146. n400002=node(0.085,0.0105,0)
  147. n400003=node(0.1574,0.008,0)
  148. n400004=node(0.1755,0.00625,0)

  149. TYPE,32   !建立质量单元
  150. real,32
  151. e,n400001

  152. TYPE,33
  153. real,33
  154. e,n200001

  155. TYPE,34
  156. real,34
  157. e,n200005

  158. TYPE,38
  159. real,38
  160. e,n400002

  161. TYPE,313
  162. real,313
  163. e,n200009

  164. TYPE,314
  165. real,314
  166. e,n200013

  167. TYPE,315
  168. real,315
  169. e,n400003

  170. TYPE,316
  171. real,316
  172. e,n400004

  173. TYPE,3  
  174. REAL,1
  175. E,n200001,300001
  176. E,node(0.034,-0.0085,0),300002
  177. E,node(0.034,0,0.0085),300003
  178. E,node(0.034,0,-0.0085),300004
  179. E,n200005,300005
  180. E,node(0.044,-0.0085,0),300006
  181. E,node(0.044,0,0.0085),300007  
  182. E,node(0.044,0,-0.0085),300008
  183. E,n200009,300009  
  184. E,node(0.143,-0.0085,0),300010
  185. E,node(0.143,0,0.0085),300011
  186. E,node(0.143,0,-0.0085),300012
  187. E,n200013,300013
  188. E,node(0.153,-0.0085,0),300014
  189. E,node(0.153,0,0.0085),300015
  190. E,node(0.153,0,-0.0085),300016

  191. eplot
  192. /solu
  193. !
  194. D,300001,,0,0,300016,1,UX,UY,UZ    !定义弹簧单元的外部节点的想x,y,z方向的位移约束

  195. !X=0.034处的弹簧内部节点
  196. D,n200001,,,,,,UX,,,
  197. D,node(0.034,-0.0085,0),,,,,,UX,,,,
  198. D,node(0.034,0,0.0085),,,,,,UX,,,,
  199. D,node(0.034,0,-0.0085),,,,,,UX,,,,
  200. !X=0.044处的弹簧内部节点
  201. D,n200005,,0,,,,UX,,,
  202. D,node(0.044,-0.0085,0),,,,,,UX,,,,
  203. D,node(0.044,0,0.0085),,,,,,UX,,,,
  204. D,node(0.044,0,-0.0085),,,,,,UX,,,,
  205. EPLOT
  206. !
  207. !


  208. /solu
  209. antype,modal
  210. modopt,lanb,10,,,  !模态提取方法Method=LANB、SUBSP、REDUC、UNSYM、DAMP、QRDAMP。
  211. mxpand,10                  
  212. solve
  213. /POST1
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发表于 2013-7-14 05:46 | 显示全部楼层
竟然还有人在用古董级单元solid45,我们单位如果再用就不用上班了
 楼主| 发表于 2013-7-14 12:50 | 显示全部楼层
发表于 2013-12-8 15:39 | 显示全部楼层
单元的影响不是太大吧
发表于 2014-3-11 13:30 | 显示全部楼层
你好,我目前也出现这种情况,使用solid185和beam188计算固频时出现很大差距,想问下你是如何解决的?谢谢,急用啊
 楼主| 发表于 2014-3-17 11:09 | 显示全部楼层
本帖最后由 ME! 于 2014-3-17 11:11 编辑
sout 发表于 2014-3-11 13:30
你好,我目前也出现这种情况,使用solid185和beam188计算固频时出现很大差距,想问下你是如何解决的?谢谢 ...

质量单元: 对两种梁单元,质量单元都在梁节点,即轴线上;而 solid45 单元模型中,质量单元则偏离了轴线,你要比较三种单元的结果,就要使模型尽量一致,否则难以发现频率不一致的原因。如果质量单元较大,它偏离轴线后,由于几个转动惯量的作用,对频率的影响可能会很大的,再进行结果比较就没有意义了。

solid45 单元的模型中,定义质量单元的 8 个节点都不在轴线上 (y 不等于零),而梁模型的质量单元都在轴线上,这也是造成频率不同的一个因素。影响多大,要看质量单元的总和与轴本身质量的大小比较。
    6  BEAM188 和 SOLID45 单元的模型中,分别定义了 400001~400004 号节点,且在这些节点上定义了质量单元,但是这些节点却没有和其它单元或节点相连,因而他们在发现中将不起作用,总质量小了,频率也就高了。

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