有限元报告liu1.docx
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有限元报告liu1
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）
姓名
学号
r（m）
h（m）
qx（MPa）
qy（MPa）
刘彦航
097214
4.0
5.6
4.4
6.4
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
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：
**********************PLAINPROBLEM**********************
TOTALNUMBEROFNODES=136
ELEMENTS=224
LOADS=13
FIXITIES=20
NODALCO-ORDINATESNODALCO-ORDINATES
10.0-5.66910.649790.0
20.0-7.33437013.218530.0
30.0-9.415457116.301010.0
40.0-11.912847220.00.0
50.0-14.9097733.92310.7804
60.0-18.50594745.167841.1071
70.0-22.82142756.661521.49914
80.0-28.0768.453941.96958
91.0-5.67710.604852.53411
101.3097-7.33437813.185933.21156
111.68133-9.415457916.283244.02449
122.12729-11.912848020.05.0
132.66245-14.9097813.69551.5307
143.30463-18.50594824.957862.18643
154.07525-22.82142836.472692.9733
165.0-28.0848.290483.91754
172.0-5.68510.471845.05064
182.61939-7.33438613.089476.41035
193.36266-9.415458716.230628.04201
204.25458-11.912848820.010.0
215.32489-14.9097893.32592.2223
226.60926-18.50594904.616873.2116
238.15051-22.82142916.166044.39876
2410.0-28.0928.025055.82335
253.0-5.89310.255857.53286
263.92909-7.518819412.932819.58427
275.04399-9.581389516.1451712.04597
286.38188-12.056479620.015.0
297.98734-15.02658972.82842.8284
309.91389-18.59071984.157894.15789
3112.22576-22.86766995.753285.75328
3215.0-28.01007.667757.66775
334.0-5.81019.965129.96512
345.23878-7.5188110212.7219512.72195
356.72532-9.5813810316.0301616.03016
368.50917-12.0564710420.020.0
3710.64979-15.026581052.22233.3259
3813.21853-18.590711063.21164.61687
3916.30101-22.867661074.398766.16604
4020.0-28.01085.823358.02505
414.0-4.21097.5328610.25585
425.23878-5.500721109.5842712.93281
436.72532-7.0615911112.0459716.14517
448.50917-8.9346311215.020.0
4510.64979-11.182271131.53073.6955
4613.21853-13.879451142.186434.95786
4716.30101-17.116061152.97336.47269
4820.0-21.01163.917548.29048
494.0-2.81175.0506410.47184
505.23878-3.667151186.4103513.08947
516.72532-4.707731198.0420116.23062
528.50917-5.9564212010.020.0
5310.64979-7.454851210.78043.9231
5413.21853-9.252971221.10715.16784
5516.30101-11.410711231.499146.66152
5620.0-14.01241.969588.45394
574.0-1.41252.5341110.60485
585.23878-1.833571263.2115613.18593
596.72532-2.353861274.0244916.28324
608.50917-2.978211285.020.0
6110.64979-3.727431290.04.0
6213.21853-4.626481300.05.23878
6316.30101-5.705361310.06.72532
6420.0-7.01320.08.50917
654.00.01330.010.64979
665.238780.01340.013.21853
676.725320.01350.016.30101
688.509170.01360.020.0
ELEMENTDEFINITIONS
ELEMENTNODE1NODE2NODE3ELEMENTNODE1NODE2NODE3
1129113656673
22109114667473
32310115666774
431110116677574
53411117676875
641211118687675
74512119686976
851312120697776
95613121697077
1061413122707877
116714123707178
1271514124717978
137815125717279
1481615126728079
1591017127737481
16101817128748281
17101118129747582
18111918130758382
19111219131757683
20122019132768483
21121320133767784
22132120134778584
23131421135777885
24142221136788685
25141522137787986
26152322138798786
27151623139798087
28162423140808887
29171825141818289
30182625142829089
31181926143828390
32192726144839190
33192027145838491
34202827146849291
35202128147848592
36212928148859392
37212229149858693
38223029150869493
39222330151868794
40233130152879594
41232431153878895
42243231154889695
43252633155899097
44263433156909897
45262734157909198
46273534158919998
47272835159919299
482836351609210099
492829361619293100
5029373616293101100
512930371639394101
5230383716494102101
533031381659495102
5431393816695103102
553132391679596103
5632403916896104103
5733424116997106105
583334421709798106
5934434217198107106
603435431729899107
6135444317399108107
6235364417499100108
63364544175100109108
64363745176100101109
65374645177101110109
66373846178101102110
67384746179102111110
68383947180102103111
69394847181103112111
70394048182103104112
71415049183105114113
72414250184105106114
73425150185106115114
74424351186106107115
75435251187107116115
76434452188107108116
77445352189108117116
78444553190108109117
79455453191109118117
80454654192109110118
81465554193110119118
82464755194110111119
83475655195111120119
84474856196111112120
85495857197113122121
86495058198113114122
87505958199114123122
88505159200114115123
89516059201115124123
90515260202115116124
91526160203116125124
92525361204116117125
93536261205117126125
94535462206117118126
95546362207118127126
96545563208118119127
97556463209119128127
98555664210119120128
99576665211121130129
100575866212121122130
101586766213122131130
102585967214122123131
103596867215123132131
104596068216123124132
105606968217124133132
106606169218124125133
107617069219125134133
108616270220125126134
109627170221126135134
110626371222126127135
111637271223127136135
112636472224127128136
APPLIEDLOADS
NODEAPPLIEDLOADSNODEAPPLIEDLOADS
4015.40.09622.00.0
4830.80.010411.016.0
5630.80.01120.032.0
6430.80.01200.032.0
7226.40.01280.032.0
8022.00.01360.016.0
8822.00.0
FIXITIES
1103201
2104001
31012910
41013010
51013110
61013210
71013310
81113410
160113510
240113610
YOUNGSMODULUSFORMATERIAL=100000
POISSONSRATIOFORMATERIAL=0.25
CONSTANTELEMENTTHICKNESS=1
NODALDISPLACEMENTS
NODEX-COMPY-COMPNODEX-COMPY-COMP
12.79827E-287.37628E-04694.13382E-041.61677E-03
21.07221E-277.47657E-04704.48726E-041.60452E-03
31.40209E-277.44964E-04715.04324E-041.59624E-03
41.58859E-276.99220E-04725.79772E-041.59116E-03
51.75697E-276.00745E-04734.19668E-041.79805E-03
61.98081E-274.51013E-04743.85074E-041.78895E-03
72.28864E-272.51320E-04753.73476E-041.78120E-03
81.23587E-271.56009E-27763.79101E-041.78014E-03
93.40291E-057.47246E-04774.01711E-041.78867E-03
107.26594E-057.73834E-04784.42100E-041.80880E-03
118.96077E-057.73639E-04795.00824E-041.84242E-03
129.32589E-057.20362E-04805.76788E-041.89654E-03
139.62790E-056.13490E-04813.76442E-041.89327E-03
141.04303E-044.58485E-04823.44206E-041.88470E-03
151.18109E-042.54770E-04833.38284E-041.89129E-03
161.40420E-043.14411E-27843.50668E-041.91187E-03
177.46771E-057.95236E-04853.79301E-041.94800E-03
181.45582E-048.48874E-04864.24253E-042.00191E-03
191.67026E-048.41488E-04874.85762E-042.07778E-03
201.70471E-047.63612E-04885.64564E-042.18433E-03
211.81091E-046.41694E-04893.26790E-041.98300E-03
222.00290E-044.76303E-04903.01464E-041.97070E-03
232.29641E-042.64367E-04913.01976E-041.98937E-03
242.72269E-043.21586E-27923.20035E-042.03112E-03
251.39540E-048.94152E-04933.53931E-042.09527E-03
262.07306E-049.57684E-04944.03733E-042.18377E-03
272.16725E-048.96848E-04954.70609E-042.30119E-03
282.30658E-047.98517E-04965.58562E-042.45324E-03
292.53551E-046.63957E-04972.69203E-042.05923E-03
302.86790E-044.89737E-04982.59033E-042.04588E-03
313.32747E-042.70620E-04992.65992E-042.07642E-03
323.95262E-043.25958E-271002.89649E-042.13955E-03
332.17951E-041.07174E-031013.29120E-042.23251E-03
342.39781E-041.02273E-031023.85853E-042.35621E-03
352.58104E-049.40745E-041034.63680E-042.51473E-03
362.83844E-048.29374E-041045.65928E-042.71337E-03
373.19718E-046.84796E-041052.15246E-042.13458E-03
383.67405E-045.01531E-041062.10821E-042.11112E-03
394.30235E-042.74230E-041072.16956E-042.13355E-03
405.13101E-041.62037E-271082.33859E-042.18991E-03
413.78857E-041.29122E-031092.61990E-042.27644E-03
422.65191E-041.15571E-031103.03435E-042.39284E-03
432.78857E-041.09353E-031113.63086E-042.54064E-03
443.03449E-041
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