有限元法上机实习报告
平面问题上机实习报告
一、 实习目的
掌握运用有限元方法分析弹性力学平面问题的步骤和技巧，熟练使用编制的程序来解决工程实际问题，并分析计算结果的正确性，分析应力分布和位移分布规律。
二、 实习内容
1、实习题目
某地下岩石洞面为直墙拱形，断面尺寸为：圆半径为4.0m，矩行部分高5.6m；岩石的弹性参数E=100000Mpa，u=0.25，在远处作用有水平均布荷载为4.4Mpa和竖向均布荷载6.4Mpa，不计岩石重力。最小取5a*5b计算范围，按平面应
变问题取1/2洞室计算岩石的位移、应变和应力。如下图：
模型尺寸：总宽20m，总高48m，模型原点坐标设在半圆拱圆心，圆心以
下28m，以上20m。设置17条生成线，每条线的单元生成个数（间隔数）为7，加权（比例）系数仍为1.2。考虑设置4个分区，即5条分区界限生成线，各分区角点的节点号为1-8-40-33、33-40-72-65、65-72-104-97及97-104-136-129。
2、单元划分网格
网格划分及所受荷载如下：
（见下一页）
有限元法上机实习报告
3、输入数据文件（TGEN1.DAT文件）：
17,1.2
7,0,-5.6,0,-28
7,1,-5.6,5,-28
7,2,-5.6,10,-28
7,3,-5.8,15,-28
7,4,-5.8,20,-28
7,4,-4.2,20,-21
有限元法上机实习报告
7,4,-2.8,20,-14
7,4,-1.4,20,-7
7,4,0,20,0
7,3.9231,0.7804,20,5
7,3.6955,1.5307,20,10
7,3.3259,2.2223,20,15
7,2.8284,2.8284,20,20
7,2.2223,3.3259,15,20
7,1.5307,3.6955,10,20
7,0.7804,3.9231,5,20
7,0,4,0,20
5
1
5
9
13
17
4、有限元计算结果（输出数据文件）
SIMPLE.OUT文件：
********************** PLAIN PROBLEM ********************** TOTAL NUMBER OF NODES = 136
ELEMENTS = 224
LOADS = 13
FIXITIES = 20
NODAL CO-ORDINATES NODAL CO-ORDINATES 1 0.0 -5.6 69 10.64979 0.0 2 0.0 -7.3343 70 13.21853 0.0 3 0.0 -9.41545 71 16.30101 0.0 4 0.0 -11.91284 72 20.0 0.0
5 0.0 -14.9097 73 3.9231 0.7804 6 0.0 -18.50594 74 5.16784 1.1071 7 0.0 -22.82142 75 6.66152 1.49914 8 0.0 -28.0 76 8.45394 1.96958 9 1.0 -5.6 77 10.60485 2.53411 10 1.3097 -7.3343 78 13.18593 3.21156 11 1.68133 -9.41545 79 16.28324 4.02449 12 2.12729 -11.91284 80 20.0 5.0
13 2.66245 -14.9097 81 3.6955 1.5307 14 3.30463 -18.50594 82 4.95786 2.18643 15 4.07525 -22.82142 83 6.47269 2.9733 16 5.0 -28.0 84 8.29048 3.91754 17 2.0 -5.6 85 10.47184 5.05064
有限元法上机实习报告
18 2.61939 -7.3343 86 13.08947 6.41035 19 3.36266 -9.41545 87 16.23062 8.04201 20 4.25458 -11.91284 88 20.0 10.0 21 5.32489 -14.9097 89 3.3259 2.2223 22 6.60926 -18.50594 90 4.61687 3.2116 23 8.15051 -22.82142 91 6.16604 4.39876 24 10.0 -28.0 92 8.02505 5.82335 25 3.0 -5.8 93 10.25585 7.53286 26 3.92909 -7.51881 94 12.93281 9.58427 27 5.04399 -9.58138 95 16.14517 12.04597 28 6.38188 -12.05647 96 20.0 15.0 29 7.98734 -15.02658 97 2.8284 2.8284 30 9.91389 -18.59071 98 4.15789 4.15789 31 12.22576 -22.86766 99 5.75328 5.75328 32 15.0 -28.0 100 7.66775 7.66775 33 4.0 -5.8 101 9.96512 9.96512 34 5.23878 -7.51881 102 12.72195 12.72195 35 6.72532 -9.58138 103 16.03016 16.03016 36 8.50917 -12.05647 104 20.0 20.0 37 10.64979 -15.02658 105 2.2223 3.3259 38 13.21853 -18.59071 106 3.2116 4.61687 39 16.30101 -22.86766 107 4.39876 6.16604 40 20.0 -28.0 108 5.82335 8.02505 41 4.0 -4.2 109 7.53286 10.25585 42 5.23878 -5.50072 110 9.58427 12.93281 43 6.72532 -7.06159 111 12.04597 16.14517 44 8.50917 -8.93463 112 15.0 20.0 45 10.64979 -11.18227 113 1.5307 3.6955 46 13.21853 -13.87945 114 2.18643 4.95786 47 16.30101 -17.11606 115 2.9733 6.47269 48 20.0 -21.0 116 3.91754 8.29048 49 4.0 -2.8 117 5.05064 10.47184 50 5.23878 -3.66715 118 6.41035 13.08947 51 6.72532 -4.70773 119 8.04201 16.23062 52 8.50917 -5.95642 120 10.0 20.0 53 10.64979 -7.45485 121 0.7804 3.9231 54 13.21853 -9.25297 122 1.1071 5.16784 55 16.30101 -11.41071 123 1.49914 6.66152 56 20.0 -14.0 124 1.96958 8.45394 57 4.0 -1.4 125 2.53411 10.60485 58 5.23878 -1.83357 126 3.21156 13.18593 59 6.72532 -2.35386 127 4.02449 16.28324 60 8.50917 -2.97821 128 5.0 20.0 61 10.64979 -3.72743 129 0.0 4.0
有限元法上机实习报告
62 13.21853 -4.62648 130 0.0 5.23878 63 16.30101 -5.70536 131 0.0 6.72532 64 20.0 -7.0 132 0.0 8.50917 65 4.0 0.0 133 0.0 10.64979 66 5.23878 0.0 134 0.0 13.21853 67 6.72532 0.0 135 0.0 16.30101 68 8.50917 0.0 136 0.0 20.0
ELEMENT DEFINITIONS
ELEMENT NODE1 NODE2 NODE3 ELEMENT NODE1 NODE2 NODE3 1 1 2 9 113 65 66 73 2 2 10 9 114 66 74 73 3 2 3 10 115 66 67 74 4 3 11 10 116 67 75 74 5 3 4 11 117 67 68 75 6 4 12 11 118 68 76 75 7 4 5 12 119 68 69 76 8 5 13 12 120 69 77 76 9 5 6 13 121 69 70 77 10 6 14 13 122 70 78 77 11 6 7 14 123 70 71 78 12 7 15 14 124 71 79 78 13 7 8 15 125 71 72 79 14 8 16 15 126 72 80 79 15 9 10 17 127 73 74 81 16 10 18 17 128 74 82 81 17 10 11 18 129 74 75 82 18 11 19 18 130 75 83 82 19 11 12 19 131 75 76 83 20 12 20 19 132 76 84 83 21 12 13 20 133 76 77 84 22 13 21 20 134 77 85 84 23 13 14 21 135 77 78 85 24 14 22 21 136 78 86 85 25 14 15 22 137 78 79 86 26 15 23 22 138 79 87 86 27 15 16 23 139 79 80 87 28 16 24 23 140 80 88 87 29 17 18 25 141 81 82 89 30 18 26 25 142 82 90 89 31 18 19 26 143 82 83 90 32 19 27 26 144 83 91 90 33 19 20 27 145 83 84 91 34 20 28 27 146 84 92 91
有限元法上机实习报告
35 20 21 28 147 84 85 92 36 21 29 28 148 85 93 92 37 21 22 29 149 85 86 93 38 22 30 29 150 86 94 93 39 22 23 30 151 86 87 94 40 23 31 30 152 87 95 94 41 23 24 31 153 87 88 95 42 24 32 31 154 88 96 95 43 25 26 33 155 89 90 97 44 26 34 33 156 90 98 97 45 26 27 34 157 90 91 98 46 27 35 34 158 91 99 98 47 27 28 35 159 91 92 99 48 28 36 35 160 92 100 99 49 28 29 36 161 92 93 100 50 29 37 36 162 93 101 100 51 29 30 37 163 93 94 101 52 30 38 37 164 94 102 101 53 30 31 38 165 94 95 102 54 31 39 38 166 95 103 102 55 31 32 39 167 95 96 103 56 32 40 39 168 96 104 103 57 33 42 41 169 97 106 105 58 33 34 42 170 97 98 106 59 34 43 42 171 98 107 106 60 34 35 43 172 98 99 107 61 35 44 43 173 99 108 107 62 35 36 44 174 99 100 108 63 36 45 44 175 100 109 108 64 36 37 45 176 100 101 109 65 37 46 45 177 101 110 109 66 37 38 46 178 101 102 110 67 38 47 46 179 102 111 110 68 38 39 47 180 102 103 111 69 39 48 47 181 103 112 111 70 39 40 48 182 103 104 112 71 41 50 49 183 105 114 113 72 41 42 50 184 105 106 114 73 42 51 50 185 106 115 114 74 42 43 51 186 106 107 115 75 43 52 51 187 107 116 115 76 43 44 52 188 107 108 116 77 44 53 52 189 108 117 116 78 44 45 53 190 108 109 117
有限元法上机实习报告
79 45 54 53 191 109 118 117 80 45 46 54 192 109 110 118 81 46 55 54 193 110 119 118 82 46 47 55 194 110 111 119 83 47 56 55 195 111 120 119 84 47 48 56 196 111 112 120 85 49 58 57 197 113 122 121 86 49 50 58 198 113 114 122 87 50 59 58 199 114 123 122 88 50 51 59 200 114 115 123 89 51 60 59 201 115 124 123 90 51 52 60 202 115 116 124 91 52 61 60 203 116 125 124 92 52 53 61 204 116 117 125 93 53 62 61 205 117 126 125 94 53 54 62 206 117 118 126 95 54 63 62 207 118 127 126 96 54 55 63 208 118 119 127 97 55 64 63 209 119 128 127 98 55 56 64 210 119 120 128 99 57 66 65 211 121 130 129 100 57 58 66 212 121 122 130 101 58 67 66 213 122 131 130 102 58 59 67 214 122 123 131 103 59 68 67 215 123 132 131 104 59 60 68 216 123 124 132 105 60 69 68 217 124 133 132 106 60 61 69 218 124 125 133 107 61 70 69 219 125 134 133 108 61 62 70 220 125 126 134 109 62 71 70 221 126 135 134 110 62 63 71 222 126 127 135 111 63 72 71 223 127 136 135 112 63 64 72 224 127 128 136
APPLIED LOADS
NODE APPLIED LOADS NODE APPLIED LOADS
40 15.4 0.0 96 22.0 0.0
48 30.8 0.0 104 11.0 16.0
56 30.8 0.0 112 0.0 32.0
64 30.8 0.0 120 0.0 32.0
72 26.4 0.0 128 0.0 32.0
80 22.0 0.0 136 0.0 16.0
88 22.0 0.0
有限元法上机实习报告
FIXITIES
1 1 0 32 0 1
2 1 0 40 0 1
3 1 0 129 1 0
4 1 0 130 1 0
5 1 0 131 1 0
6 1 0 132 1 0
7 1 0 133 1 0
8 1 1 134 1 0
16 0 1 135 1 0
24 0 1 136 1 0
YOUNGS MODULUS FOR MATERIAL = 100000
POISSONS RATIO FOR MATERIAL = 0.25
CONSTANT ELEMENT THICKNESS = 1
NODAL DISPLACEMENTS
NODE X-COMP Y-COMP NODE X-COMP Y-COMP 1 2.79827E-28 7.37628E-04 69 4.13382E-04 1.61677E-03 2 1.07221E-27 7.47657E-04 70 4.48726E-04 1.60452E-03 3 1.40209E-27 7.44964E-04 71 5.04324E-04 1.59624E-03 4 1.58859E-27 6.99220E-04 72 5.79772E-04 1.59116E-03 5 1.75697E-27 6.00745E-04 73 4.19668E-04 1.79805E-03 6 1.98081E-27 4.51013E-04 74 3.85074E-04 1.78895E-03 7 2.28864E-27 2.51320E-04 75 3.73476E-04 1.78120E-03 8 1.23587E-27 1.56009E-27 76 3.79101E-04 1.78014E-03 9 3.40291E-05 7.47246E-04 77 4.01711E-04 1.78867E-03 10 7.26594E-05 7.73834E-04 78 4.42100E-04 1.80880E-03 11 8.96077E-05 7.73639E-04 79 5.00824E-04 1.84242E-03 12 9.32589E-05 7.20362E-04 80 5.76788E-04 1.89654E-03 13 9.62790E-05 6.13490E-04 81 3.76442E-04 1.89327E-03 14 1.04303E-04 4.58485E-04 82 3.44206E-04 1.88470E-03 15 1.18109E-04 2.54770E-04 83 3.38284E-04 1.89129E-03 16 1.40420E-04 3.14411E-27 84 3.50668E-04 1.91187E-03 17 7.46771E-05 7.95236E-04 85 3.79301E-04 1.94800E-03 18 1.45582E-04 8.48874E-04 86 4.24253E-04 2.00191E-03 19 1.67026E-04 8.41488E-04 87 4.85762E-04 2.07778E-03 20 1.70471E-04 7.63612E-04 88 5.64564E-04 2.18433E-03 21 1.81091E-04 6.41694E-04 89 3.26790E-04 1.98300E-03 22 2.00290E-04 4.76303E-04 90 3.01464E-04 1.97070E-03 23 2.29641E-04 2.64367E-04 91 3.01976E-04 1.98937E-03 24 2.72269E-04 3.21586E-27 92 3.20035E-04 2.03112E-03 25 1.39540E-04 8.94152E-04 93 3.53931E-04 2.09527E-03
有限元法上机实习报告
26 2.07306E-04 9.57684E-04 94 4.03733E-04 2.18377E-03 27 2.16725E-04 8.96848E-04 95 4.70609E-04 2.30119E-03 28 2.30658E-04 7.98517E-04 96 5.58562E-04 2.45324E-03 29 2.53551E-04 6.63957E-04 97 2.69203E-04 2.05923E-03 30 2.86790E-04 4.89737E-04 98 2.59033E-04 2.04588E-03 31 3.32747E-04 2.70620E-04 99 2.65992E-04 2.07642E-03 32 3.95262E-04 3.25958E-27 100 2.89649E-04 2.13955E-03 33 2.17951E-04 1.07174E-03 101 3.29120E-04 2.23251E-03 34 2.39781E-04 1.02273E-03 102 3.85853E-04 2.35621E-03 35 2.58104E-04 9.40745E-04 103 4.63680E-04 2.51473E-03 36 2.83844E-04 8.29374E-04 104 5.65928E-04 2.71337E-03 37 3.19718E-04 6.84796E-04 105 2.15246E-04 2.13458E-03 38 3.67405E-04 5.01531E-04 106 2.10821E-04 2.11112E-03 39 4.30235E-04 2.74230E-04 107 2.16956E-04 2.13355E-03 40 5.13101E-04 1.62037E-27 108 2.33859E-04 2.18991E-03 41 3.78857E-04 1.29122E-03 109 2.61990E-04 2.27644E-03 42 2.65191E-04 1.15571E-03 110 3.03435E-04 2.39284E-03 43 2.78857E-04 1.09353E-03 111 3.63086E-04 2.54064E-03 44 3.03449E-04 1.00890E-03 112 4.46500E-04 2.72547E-03 45 3.38531E-04 9.00010E-04 113 1.49469E-04 2.19217E-03 46 3.84769E-04 7.61476E-04 114 1.50892E-04 2.16935E-03 47 4.43702E-04 5.86970E-04 115 1.56564E-04 2.18637E-03 48 5.19960E-04 3.72022E-04 116 1.67642E-04 2.23697E-03 49 4.42277E-04 1.43492E-03 117 1.85580E-04 2.31837E-03 50 3.79635E-04 1.33190E-03 118 2.12454E-04 2.43049E-03 51 3.25539E-04 1.24943E-03 119 2.53108E-04 2.57412E-03 52 3.32988E-04 1.19193E-03 120 3.17726E-04 2.75125E-03 53 3.61999E-04 1.11958E-03 121 7.66575E-05 2.23052E-03 54 4.06460E-04 1.02712E-03 122 7.93415E-05 2.21112E-03 55 4.64704E-04 9.08554E-04 123 8.30627E-05 2.22642E-03 56 5.37437E-04 7.55800E-04 124 8.88019E-05 2.27341E-03 57 4.62953E-04 1.56511E-03 125 9.76119E-05 2.35127E-03 58 4.28024E-04 1.51106E-03 126 1.10855E-04 2.46086E-03 59 3.95985E-04 1.45277E-03 127 1.31342E-04 2.60406E-03 60 3.80667E-04 1.40082E-03 128 1.68116E-04 2.78117E-03 61 3.96001E-04 1.35680E-03 129 6.10698E-28 2.25037E-03 62 4.33802E-04 1.30683E-03 130 1.05413E-27 2.22871E-03 63 4.90553E-04 1.24459E-03 131 1.09254E-27 2.24269E-03 64 5.63606E-04 1.16165E-03 132 1.17912E-27 2.28808E-03 65 4.53664E-04 1.70609E-03 133 1.31253E-27 2.36420E-03 66 4.20006E-04 1.68518E-03 134 1.50054E-27 2.47223E-03 67 4.01939E-04 1.65894E-03 135 1.76369E-27 2.61469E-03 68 3.98751E-04 1.63502E-03 136 1.00176E-27 2.79488E-03
有限元法上机实习报告
NODAL REACTIONS
NODE X-COMP Y-COMP NODE X-COMP Y-COMP 1 -2.79827 0.0 32 0.0 -32.59577 2 -10.72207 0.0 40 0.0 -16.20374 3 -14.02092 0.0 129 -6.10698 0.0 4 -15.88589 0.0 130 -10.54126 0.0 5 -17.56969 0.0 131 -10.92536 0.0 6 -19.80808 0.0 132 -11.79117 0.0 7 -22.88637 0.0 133 -13.12526 0.0 8 -12.35871 -15.60088 134 -15.00541 0.0 16 0.0 -31.44112 135 -17.63685 0.0 24 0.0 -32.15859 136 -10.01761 0.0
ELEMENT STRESSES IEL SIG XX SIG YY TAU XY IEL SIG XX SIG YY TAU 1 3.42416 0.59309 0.34198 113 1.23233 -2.24452
2 5.49947 0.718 0.27091 114 1.21445 -2.28168
3 5.96366 2.1106 0.71064 115 1.99608 -1.77708
4 5.7965 2.22981 0.65523 116 2.56645 -1.61425
5 6.33613 3.84872 0.6064 117 2.68881 -1.15448
6 5.4978 4.02356 0.57972 118 3.20965 -1.0524
7 5.84453 5.06376 0.35336 119 3.34032 -0.65102
8 5.15561 5.18081 0.36398 120 3.6476 -0.64617
9 5.33764 5.72688 0.17021 121 3.8765 -0.32471
10 4.91354 5.76284 0.20146 122 3.98075 -0.38297
11 5.01195 6.05807 0.08039 123 4.18461 -0.16233
12 4.77522 6.08186 0.10035 124 4.21848 -0.21263
13 4.81697 6.20709 0.0301 125 4.35041 -0.07657
14 4.74484 6.2462 0.02513 126 4.36841 -0.07343
XY 9.10122 9.44524 8.48189 8.57469 8.00342 8.0769 7.62427 7.71571 7.34947 7.42337 7.20385 7.24942 7.24716 11.42556
有限元法上机实习报告
15 4.0954 0.72411 1.17242 127 2.85423 11.901 -3.51287
16 5.56699 0.86344 1.29059 128 2.25367 8.27678 -3.09044
17 6.30619 3.08103 2.10116 129 3.18739 8.97411 -2.29507
18 5.55021 3.55307 1.65316 130 3.3574 7.8077 -1.96064
19 5.92631 4.68138 1.6752 131 3.53675 8.02243 -1.50184
20 -1.28882
21 -0.95664
22 -0.8491
23 -0.59252
24 -0.55398
25 -0.35271
26 -0.34502
27 -0.1522
28 -0.14491
29 -4.44237
30 -3.45769
31 -2.49257
32 -2.01679
33 -1.54871
34 -1.29188
35 -1.00086
36 -0.85359
5.23848 5.26863 4.97887 4.99766 4.80195 4.81094 4.69532 4.68343 4.62791 6.68006 5.1059 6.37408 5.05614 4.83572 4.88346 4.76199 4.75114 5.39122 1.13475 5.48167 0.91751 5.87561 0.65516 5.93195 0.49958 6.14376 0.37074 6.17073 0.26238 6.30128 0.18944 6.2656 0.10432 6.38293 0.04218 2.67587 2.87223 2.5174 2.4601 5.44137 3.37355 6.42216 1.7746 5.83221 1.66513 6.41012 1.0611 6.10924 0.93691 6.42264 0.63203 第 11 页 共 20 页
132 3.80759 133 3.8611 134 4.06422 135 4.12696 136 4.24294 137 4.3026 138 4.361 139 4.3598 140 4.41191 141 4.49148 142 3.33525 143 4.20136 144 3.99706 145 4.20156 146 4.23413 147 4.28735 148 4.36376 7.49941 7.59141 7.27812 7.33507 7.10786 7.14388 7.00053 7.00687 6.92792 10.85704 7.21043 8.29955 7.14413 7.47649 7.03991 7.16553 6.95082
有限元法上机实习报告
37 4.69291 6.28195 0.53323 149 4.37363 7.00264 -0.64467
38 4.64709 6.46016 0.36567 150 4.44023 6.86388 -0.56175
39 4.61348 6.37624 0.28249 151 4.41343 6.87827 -0.38507
40 4.56479 6.48827 0.18054 152 4.46847 6.76741 -0.33396
41 4.54176 6.42609 0.10418 153 4.39622 6.75426 -0.14257
42 -0.10557
43 -4.73701
44 -3.30512
45 -2.42383
46 -1.91738
47 -1.45269
48 -1.18833
49 -0.92339
50 -0.76568
51 -0.59138
52 -0.47982
53 -0.33357
54 -0.233
55 -0.09417
56 -0.01829
57 -4.6028
58 -3.1702
4.49863 10.4628 4.93148 4.6482 4.70754 4.5395 4.63847 4.55648 4.5822 4.53931 4.52176 4.49224 4.464 4.4435 4.4137 6.35325 6.08605 6.49898 0.03968 9.08471 6.4195 7.74131 1.94978 6.89147 2.08013 7.12221 1.2431 6.6181 1.20115 6.80374 0.78667 6.55778 0.72221 6.6776 0.48569 6.54893 0.42433 6.62644 0.27628 6.53787 0.21367 6.58751 0.12218 6.526 0.05817 6.53736 0.02987 15.12364 4.80752 8.27638 2.29178 第 12 页 共 20 页
154 4.44412 155 6.05745 156 4.45693 157 4.90875 158 4.43885 159 4.65023 160 4.51766 161 4.57642 162 4.55442 163 4.54828 164 4.55798 165 4.49632 166 4.51929 167 4.42418 168 4.43995 7.32753 170 4.80315 6.58074 8.88425 6.24734 7.53232 6.57399 7.01613 6.68282 6.83904 6.70625 6.76011 6.67006 6.67601 6.57311 6.55217 6.41271 6.92951 5.36141 169
有限元法上机实习报告
59 4.7337 7.82559 1.42041 171 5.85608 6.60491 -2.51426
60 4.68956 7.31216 1.32309 172 4.73938 6.03612 -1.85804
61 4.54881 7.26524 0.86962 173 5.17543 6.53954 -1.48701
62 4.51324 6.9568 0.8404 174 4.71213 6.35825 -1.1558
63 4.49611 6.9511 0.56155 175 4.88493 6.5579 -0.9398
64 -0.75092
65 -0.60362
66 -0.47793
67 -0.3429
68 -0.23652
69 -0.09844
70 -0.01959
71 -3.93017
72 -3.14705
73 -2.41582
74 -1.90597
75 -1.50241
76 -1.22094
77 -0.97216
78 -0.81657
79 -0.64259
80 -0.55502
4.50234 4.45863 4.48748 4.41393 4.45405 4.39456 4.42421 1.63814 0.61977 4.19528 5.55672 4.28113 4.76646 4.3713 4.54776 4.4108 4.48667 6.80875 0.53438 176 6.79418 0.34648 177 6.72727 0.31634 178 6.70275 0.17805 179 6.64018 0.14388 180 6.62035 0.04709 181 6.51376 0.02073 182 10.27824 1.20854 183 9.31739 1.91737 184 10.50922 2.63827 185 8.13199 1.69049 186 7.7068 1.20742 187 7.41576 0.96014 188 7.28404 0.68059 189 7.10119 0.61445 190 7.05554 0.41017 191 6.93964 0.39277 192 第 13 页 共 20 页
4.68395 4.74494 4.64753 4.64945 4.56862 4.54139 4.413 8.69146 5.59042 6.66538 5.26634 5.69639 5.05252 5.23261 4.91245 4.98827 4.82588 6.51767 6.56074 6.57295 6.5052 6.53785 6.424 6.44487 4.76549 3.77906 5.51568 5.24551 5.91405 5.90228 6.1779 6.23608 6.34432 6.41169
有限元法上机实习报告
81 4.40709 6.91312 0.22815 193 4.84641 6.41221 -0.4005
82 4.45571 6.8295 0.22231 194 4.75805 6.47605 -0.34492
83 4.37634 6.80304 0.06545 195 4.74158 6.39455 -0.15768
84 4.42801 6.67428 0.06946 196 4.59248 6.45166 -0.11567
85 0.85021 9.10061 0.13106 197 9.58093 3.00251 -2.60684
86 -2.43891
87 -1.74603
88 -1.59632
89 -1.15906
90 -1.06654
91 -0.77229
92 -0.72789
93 -0.52153
94 -0.50528
95 -0.34646
96 -0.34091
97 -0.17317
98 -0.15584
99 -0.96549
100 -1.17302
101 -0.54366
102 -0.79012
0.05085 2.16044 1.42442 3.2728 4.13468 3.85572 4.38953 4.17299 4.43713 4.33412 4.44793 4.36991 4.43796 0.68236 0.20545 2.07997 0.9097 9.28134 0.41342 198 9.98455 0.76007 199 8.66544 1.24158 200 9.28156 1.1037 201 8.02865 1.16879 202 7.93566 0.71086 203 7.49727 0.70665 204 7.42509 0.4247 205 7.21145 0.43506 206 7.17711 0.24453 207 7.06704 0.25937 208 7.04103 0.0968 209 6.9765 0.10763 210 9.77566 -0.83635 211 9.07205 -0.5251 212 9.6969 -0.78304 213 8.60783 -0.2143 214 第 14 页 共 20 页
6.50853 7.46695 5.87968 6.33487 5.46854 5.69005 5.20052 5.31549 5.04024 5.10124 4.98055 4.99345 4.97302 9.85607 7.13311 7.97879 6.31641 2.34336 4.32949 4.21351 5.17066 5.23469 5.71018 5.80388 6.06338 6.13894 6.28397 6.33087 6.35199 6.40792 1.62766 1.31286 3.55137 3.33331
有限元法上机实习报告
103 2.92362 9.27913 -0.38677 215 6.81476 4.6841 -0.34747
104 2.10672 8.15829 0.15909 216 5.77798 4.57763 -0.54161
105 3.52504 8.63106 -0.08718 217 6.07355 5.396 -0.22938
106 3.4181 7.7524 0.30252 218 5.4258 5.35102 -0.37075
107 3.94756 7.92889 -0.00386 219 5.60403 5.85552 -0.15496
108 3.97787 7.42672 0.22381 220 5.21625 5.84174 -0.24961
109 4.2117 7.50466 0.01921 221 5.32511 6.15697 -0.10923
110 4.24543 7.25911 0.13486 222 5.14679 6.15978 -0.15589
111 4.36717 7.29969 0.03696 223 5.21313 6.35634 -0.08631
112 4.37448 7.27587 0.04844 224 5.30639 6.35523 -0.05944
********************** THE END **********************
三、 实验成果的分析
1）正确性验证
A．水平外边界上单元水平应力与水平分布荷载相近（误差不大于0.5Mpa）
单元号 水平应力
70 4.42421
84 4.42801
98 4.43796
112 4.37448
126 4.36841
140 4.41191
154 4.44412
168 4.43995
以上各单元水平应力均在误差范围内（3.9Mpa---4.9Mpa），故符合要求。
B．竖直上边界上单元竖向应力与竖向分布荷载相近（误差不大于0.5Mpa） 单元号 竖直应力
182 6.44487
196 6.45166
210 6.40792
224 6.35523
以上各单元竖向应力均在误差范围内（5.9Mpa---6.9Mpa），故符合要求。
有限元法上机实习报告
C．静力平衡：计算模型竖向约束反力之和等于作用于模型上表面竖向荷载之和（误差不大于0.005MN）
竖直约束反力
15.60088
31.44112
32.15859
32.59577
16.20374
SUM= 128.0001
结果128.0001与作用于模型上表面竖向荷载6.4*20=128在误差范围内，故符合要求。
D．静力平衡：计算模型水平约束反力之和等于作用于模型右表面水平荷载之和（误差不大于0.005MN）
水平约束反
力
2.79827
10.72207
14.02092
15.88589
17.56969
19.80808
22.88637
12.35871
6.10698
10.54126
10.92536
11.79117
13.12526
15.00541
17.63685
10.01761
SUM= 211.19992
结果211.19992与作用于模型上表面竖向荷载4.4﹡（20+28）=211.2在误差范围内，故符合要求。
有限元法上机实习报告
2）分析应力、位移分布
A．绘出邻近水平轴各单元水平应力与竖向应力对单元横向坐标的关系曲线
① X轴上部的单元
单元号/
上 横坐标 水平应力 竖直应力
113 4.41293 1.23233 11.42556
115 5.73429 1.99608 9.44524
117 7.31993 2.68881 8.57469
119 9.22271 3.34032 8.0769
121 11.50603 3.8765 7.71571
123 14.24602 4.18461 7.42337
125 17.53400 4.35041 7.24942
②X轴下部的单元
单元
99
101
103
105
107
109
111
横向坐标 4.41293 5.73429 7.31993 9.22271 11.50603 14.24602 17.53400 水平应力 0.68236 2.07997 2.92362 3.52504 3.94756 4.2117 4.36717 竖直应力 9.77566 9.6969 9.27913 8.63106 7.92889 7.50466 7.29969
有限元法上机实习报告
B．绘出邻近竖向轴各单元水平应力与竖向应力对单元竖向坐标的关系曲线
水平应竖直应
单元 竖向坐标 力 力
1 -6.1781 3.42416 0.59309
3 -8.028 5.96366 2.1106
5 -10.2479 6.33613 3.84872
7 -12.9118 5.84453 5.06376
9 -16.1084 5.33764 5.72688
11 -19.9444 5.01195 6.05807
13 -24.5476 4.81697 6.20709
211 4.4129 9.85607 1.62766
213 5.7343 7.97879 3.55137
215 7.3199 6.81476 4.6841
217 9.223 6.07355 5.396
219 11.506 5.60403 5.85552
221 14.246 5.32511 6.15697
223 17.534 5.21313 6.35634
有限元法上机实习报告
C．绘出邻近水平轴各节点水平位移与节点横向坐标的关系曲线
节点号 横坐标 位移
66 5.23878 4.20006E-04
67 6.72532 4.01939E-04
68 8.50917 3.98751E-04
69 10.64979 4.13382E-04
70 13.21853 4.48726E-04
71 16.30101 5.04324E-04
72 20 5.79772E-04
有限元法上机实习报告
D.绘出邻近竖直轴各节点竖向位移与节点竖向坐标的关系曲线
节点号 竖坐标 位移
1 -5.6 7.37628E-04
2 -7.3343 7.47657E-04
3 -9.41545 7.44964E-04
4 -11.91284 6.99220E-04
5 -14.9097 6.00745E-04
6 -18.50594 4.51013E-04
7 -22.82142 2.51320E-04
8 -28 1.56009E-27
129 4 2.25037E-03
130 5.23878 2.22871E-03
131 6.72532 2.24269E-03
132 8.50917 2.28808E-03
133 10.64979 2.36420E-03
134 13.21853 2.47223E-03
135 16.30101 2.61469E-03
136 20 2.79488E-03
