计算结构力学 安建工 08土木完整版Word下载.docx

计算结构力学 安建工 08土木完整版Word下载.docx

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82.7502.752

83032

83.2503.252

83.503.52

83.7503.752

84042

000

1.102.103.104.105.106.107.108.109.10

1.202.203.204.205.206.207.208.209.20

2100.280.015

8

1451461-6-6

1461471-6-6

1471481-6-6

1481491-6-6

1491501-6-6

1501511-6-6

1511521-6-6

1521531-6-6

计算结果：

Ua=-3.754μm,Va=0.036μm

方案2：

按32X8剖分，如图，板中点

是结点149（2,1），考察它的位移：

自动划分为512个单元,结点编号顺序:

331

80.12500.1252

80.37500.3752

80.62500.6252

80.87500.8752

81.12501.1252

81.37501.3752

81.62501.6252

81.87501.8752

82.12502.1252

82.37502.3752

82.62502.6252

82.87502.8752

83.12503.1252

83.37503.3752

83.62503.6252

83.87503.8752

2892901-6-6

2902911-6-6

2912921-6-6

2922931-6-6

2932941-6-6

2942951-6-6

2952961-6-6

2962971-6-6

Ua=-3.757μm,Va=0.020μm

方案3：

按32X16剖分，如图，板中点

是结点281（2,1）：

自动划分为1024个单元,结点编号顺序:

10341

160002

160.12500.1252

160.2500.252

160.37500.3752

160.500.52

160.62500.6252

160.7500.752

160.87500.8752

161012

161.12501.1252

161.2501.252

161.37501.3752

161.501.52

161.62501.6252

161.7501.752

161.87501.8752

162022

162.12502.1252

162.2502.252

162.37502.3752

162.502.52

162.62502.6252

162.7502.752

162.87502.8752

163032

163.12503.1252

163.2503.252

163.37503.3752

163.503.52

163.62503.6252

163.7503.752

163.87503.8752

164042

1.102.103.104.105.106.107.108.109.1010.1011.1012.1013.1014.1015.1016.1017.10

1.202.203.204.205.206.207.208.209.2010.2011.2012.2013.2014.2015.2016.2017.20

16

5455461-6-6

5465471-6-6

5475481-6-6

5485491-6-6

5495501-6-6

5505511-6-6

5515521-6-6

5525531-6-6

5535541-6-6

5545551-6-6

5555561-6-6

5565571-6-6

5575581-6-6

5585591-6-6

5595601-6-6

5605611-6-6

Ua=-3.760μm,Va=0.012μm

方案4：

按32X32剖分，如图，板中点

是结点545（2,1）：

自动划分为2048个单元,结点编号顺序:

10661

320002

320.12500.1252

320.2500.252

320.37500.3752

320.500.52

320.62500.6252

320.7500.752

320.87500.8752

321012

321.12501.1252

321.2501.252

321.37501.3752

321.501.52

321.62501.6252

321.7501.752

321.87501.8752

322022

322.12502.1252

322.2502.252

322.37502.3752

322.502.52

322.62502.6252

322.7502.752

322.87502.8752

323032

323.12503.1252

323.2503.252

323.37503.3752

323.503.52

323.62503.6252

323.7503.752

323.87503.8752

324042

1.102.103.104.105.106.107.108.109.1010.1011.1012.1013.1014.1015.1016.1017.1018.1019.1020.1021.1022.1023.1024.1025.1026.1027.1028.1029.1030.1031.1032.1033.10

1.202.203.204.205.206.207.208.209.2010.2011.2012.2013.2014.2015.2016.2017.2018.2019.2020.2021.2022.2023.2024.2025.2026.2027.2028.2029.2030.2031.2032.2033.20

32

105710581-6-6

105810591-6-6

105910601-6-6

106010611-6-6

106110621-6-6

106210631-6-6

106310641-6-6

106410651-6-6

106510661-6-6

106610671-6-6

106710681-6-6

106810691-6-6

106910701-6-6

107010711-6-6

107110721-6-6

107210731-6-6

107310741-6-6

107410751-6-6

107510761-6-6

107610771-6-6

107710781-6-6

107810791-6-6

107910801-6-6

108010811-6-6

108110821-6-6

108210831-6-6

108310841-6-6

108410851-6-6

108510861-6-6

108610871-6-6

108710881-6-6

108810891-6-6

Ua=-3.761μm,Va=0.007μm

方案5：

按64X32剖分，如图，板中点

是结点1073（2,1）：

自动划分为4096个单元,结点编号顺序:

651

320.062500.06252

320.187500.18752

320.312500.31252

320.437500.43752

320.562600.56252

320.687500.68752

320.812500.81252

320.937500.93752

321.062501.06252

321.187501.18752

321.312501.31252

321.437501.43752

321.562601.56252

321.687501.68752

321.812501.81252

321.937501.93752

322.062502.06252

322.187502.18752

322.312502.31252

322.437502.43752

322.562602.56252

322.687502.68752

322.812502.81252

322.937502.93752

323.062503.06252

323.187503.18752

323.312503.31252

323.437503.43752

323.562603.56252

323.687503.68752

323.812503.81252

323.937503.93752

211321141-6-6

211421151-6-6

211521161-6-6

211621171-6-6

211721181-6-6

211821191-6-6

211921201-6-6

212021211-6-6

212121221-6-6

212221231-6-6

212321241-6-6

212421251-6-6

212521261-6-6

212621271-6-6

212721281-6-6

212821291-6-6

212921301-6-6

213021311-6-6

213121321-6-6

213221331-6-6

213321341-6-6

213421351-6-6

213521361-6-6

213621371-6-6

213721381-6-6

213821391-6-6

213921401-6-6

214021411-6-6

214121421-6-6

214221431-6-6

214321441-6-6

214421451-6-6

Ua=-3.763μm,Va=0.004μm

从水平位移看，已经划分“够细”了，但从竖向位移看，还要再细分。

其分析结果如下所示：

A点位移随网格细分的变化：

a/h

u

u误差

v

v误差

0.125

-3.754

0.036

-3.757

0.08%

0.02

44.44%

0.0625

-3.76

0.012

40.00%

0.03125

-3.761

0.03%

0.007

41.67%

-3.763

0.05%

0.004

42.86%

A点位移散点图：

结论：

本题网格长度小于矩形板边长的1/8时，主要位移的计算已经基本收敛，但纵向位移计算的收敛速度较慢，需要划分到网格尺度小于边长的1/XXX

一、由方案一可知：

距固定端

的截面上各点应力状态为

结点应力（千帕）

结点

Sigmax

Sigmay

Tauxy

91

-399.191

0.179

0.418

92

-399.554

0.36

0.563

93

-400.106

0.674

0.655

94

-400.572

0.906

0.396

95

-400.717

0.954

-0.046

96

-400.48

0.793

-0.465

97

-399.962

0.482

-0.665

98

-399.406

0.162

-0.509

99

-399.232

0.08

-0.294

的截面上各点应力状态为复杂应力状态，不是单向应力状态。

二、由方案二可知：

172

-399.039

0.169

0.446

173

-399.418

0.353

0.638

174

-400.085

0.703

0.769

175

-400.658

0.986

0.484

176

-400.858

1.071

-0.027

177

-400.602

0.921

-0.525

178

-399.998

0.592

-0.775

179

-399.33

0.238

-0.606

180

-399.066

0.111

-0.373

同理可知：

方案三、四和方案五中，距固定端

的截面上各点应力状态都为复杂应力状态。

的截面上各点变形为

结构位移（微米）:

U

V

-4.694

-0.49

-4.698

-0.357

-4.702

-0.223

-4.706

-0.089

-4.71

0.046

-4.715

0.181

-4.721

0.315

-4.727

0.448

-4.732

0.582

的截面上各点变形不一致，但在一定的允许误差范围内符合平面假定。

-4.468

-0.513

-4.47

-0.38

-4.472

-0.246

-4.473

-0.111

-4.475

0.024

-4.478

0.159

-4.482

0.293

-4.486

0.427

-4.488

0.56

当泊松比为0.1、0.25、0.28、0.32、0.45时，可从结构位移、支座反力、单元应力、结点应力中讨论它改变后的影响。

其结果如下：

①结构位移（微米）:

泊松比ν

0.1

77

-3.801

0.009

0.25

-3.764

0.031

0.28

0.32

-3.738

0.045

0.45

-3.673

0.079

②支座