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简支梁，受向下的均布力作用q=1kN/m, 梁的跨度l=10m，E=2×10^5kPa，μ=0.2，梁的截面参数宽度B，高度H
跨中挠度的理论解是y=5ql^4/384EI
(1)B=0.5m，H=0.5m，y=0.125
(2)B=1.0m，H=0.5m，y=0.0625
(1)
*KEYWORD
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ NODE DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*NODE
$ nid n1 n2 n3
1 0 0 0
2 1 0 0
3 2 0 0
4 3 0 0
5 4 0 0
6 5 0 0
7 6 0 0
8 7 0 0
9 8 0 0
10 9 0 0
11 10 0 0
12 5 1 0
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ ELEMENT DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*ELEMENT_BEAM
$ eid mid n1 n2 n3
1 1 1 2 12
2 1 2 3 12
3 1 3 4 12
4 1 4 5 12
5 1 5 6 12
6 1 6 7 12
7 1 7 8 12
8 1 8 9 12
9 1 9 10 12
10 1 10 11 12
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ BOUNDARY DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*BOUNDARY_SPC_NODE
$# nsid cid dofx dofy dofz dofrx dofry dofrz
1 0 1 1 0 0 0 0
11 0 0 1 0 0 0 0
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ PARTS DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*PART
beam
$ pid secid mid
1 1 1
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ MATERIAL DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*MAT_ELASTIC
$ mid ro e pr da db
1 200 2e5 0.2
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ SECTION DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*SECTION_BEAM
$ sid elform shrf qr/irid cst
1 2
$ a iss itt j sa
0.25 0.005208 0.005208 0
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ LOAD DEFINITIONS $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*SET_BEAM
$ sid
1
$ k1 k2 k3 k4 k5 k6 k7 k8
1 2 3 4 5 6 7 8
9 10
*LOAD_BEAM_SET
$ esid dal lcid sf
1 2 1
*DEFINE_CURVE
$ lcid
1
$ abscissa ordinate
0.0 1
200 1
*DAMPING_GLOBAL
$ lcid VALDMP
1 10
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ Control output $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*CONTROL_TERMINATION
200
*CONTROL_TIMESTEP
0.0000 0.9000 0 0.00 0.00
*END
y=0.1244
(2)
*KEYWORD
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ NODE DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*NODE
$ nid n1 n2 n3
1 0 0 0
2 1 0 0
3 2 0 0
4 3 0 0
5 4 0 0
6 5 0 0
7 6 0 0
8 7 0 0
9 8 0 0
10 9 0 0
11 10 0 0
12 5 1 0
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ ELEMENT DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*ELEMENT_BEAM
$ eid mid n1 n2 n3
1 1 1 2 12
2 1 2 3 12
3 1 3 4 12
4 1 4 5 12
5 1 5 6 12
6 1 6 7 12
7 1 7 8 12
8 1 8 9 12
9 1 9 10 12
10 1 10 11 12
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ BOUNDARY DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*BOUNDARY_SPC_NODE
$# nsid cid dofx dofy dofz dofrx dofry dofrz
1 0 1 1 0 0 0 0
11 0 0 1 0 0 0 0
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ PARTS DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*PART
beam
$ pid secid mid
1 1 1
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ MATERIAL DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*MAT_ELASTIC
$ mid ro e pr da db
1 200 2e5 0.2
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ SECTION DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*SECTION_BEAM
$ secid elform shrf qr
1
$ ts1 ts2 tt1 tt2
0.5 0.5 1.0 1.0
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ LOAD DEFINITIONS $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*SET_BEAM
$ sid
1
$ k1 k2 k3 k4 k5 k6 k7 k8
1 2 3 4 5 6 7 8
9 10
*LOAD_BEAM_SET
$ esid dal lcid sf
1 2 1
*DEFINE_CURVE
$ lcid
1
$ abscissa ordinate
0.0 1
200 1
*DAMPING_GLOBAL
$ lcid VALDMP
1 10
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ Control output $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*CONTROL_TERMINATION
200
*CONTROL_TIMESTEP
0.0000 0.9000 0 0.00 0.00
*END
y=0.06173
计算静力问题，需设置*DAMPING_GLOBAL，且分析时间足够长，使结构稳定。
一线性弹簧，一端固定，弹簧长10m，弹簧刚度为K=100N/m
(1)一端受轴向力F=100N，自由端理论解为s=F/k=1m
(2)一端受轴向位移s=1m，弹簧受力理论解为F=s*k=100N
(3)一端受切向位移s=1m，弹簧受力理论解为F=4.99N
(1)
*KEYWORD
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ NODE DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*NODE
1 0 0 0
2 10 0 0
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ ELEMENT DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*ELEMENT_DISCRETE
$ eid pid n1 n2
1 1 1 2
*ELEMENT_MASS
$ eid id mass
2 1 0.001
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ BOUNDARY DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*BOUNDARY_SPC_NODE
$# nsid cid dofx dofy dofz dofrx dofry dofrz
2 0 1 1 1 1 1 1
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ PARTS DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*SECTION_DISCRETE
$ secid dro
1 0 0 0 0 0
0 0
*MAT_SPRING_ELASTIC
$ mid k
1 100
*PART
spring
$ pid secid mid
1 1 1
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ LOAD DEFINITIONS $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*LOAD_NODE_POINT
$ nid dof lcid
1 1 1
*DEFINE_CURVE
1
0.0 100
200 100
*DAMPING_GLOBAL
$ lcid VALDMP
0 100
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ Control output $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*CONTROL_TERMINATION
200
*CONTROL_TIMESTEP
0.0000 0.9000 0 0.00 0.00
*END
s=1.00
(2)
*KEYWORD
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ NODE DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*NODE
1 0 0 0
2 10 0 0
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ ELEMENT DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*ELEMENT_DISCRETE
$ eid pid n1 n2
1 1 1 2
*ELEMENT_MASS
$ eid id mass
2 1 0.001
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ BOUNDARY DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*BOUNDARY_SPC_NODE
$# nsid cid dofx dofy dofz dofrx dofry dofrz
2 0 1 1 1 1 1 1
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ PARTS DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*SECTION_DISCRETE
$ secid dro
1 0 0 0 0 0
0 0
*MAT_SPRING_ELASTIC
$ mid k
1 100
*PART
spring
$ pid secid mid
1 1 1
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ LOAD DEFINITIONS $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*BOUNDARY_PRESCRIBED_MOTION_NODE
$ NODE DOF VAD LCID SF
1 1 2 1 1
*DEFINE_CURVE
1
0.0 0.0
200 1.0
*DAMPING_GLOBAL
$ lcid VALDMP
0 100
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ Control output $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*CONTROL_TERMINATION
200
*CONTROL_TIMESTEP
0.0000 0.9000 0 0.00 0.00
*END
F=100.1
(3)
*KEYWORD
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ NODE DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*NODE
1 0 0 0
2 10 0 0
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ ELEMENT DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*ELEMENT_DISCRETE
$ eid pid n1 n2
1 1 1 2
*ELEMENT_MASS
$ eid id mass
2 1 0.001
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ BOUNDARY DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*BOUNDARY_SPC_NODE
$# nsid cid dofx dofy dofz dofrx dofry dofrz
1 0 1 0 1 1 1 1
2 0 1 1 1 1 1 1
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ PARTS DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*SECTION_DISCRETE
$ secid dro
1 0 0 0 0 0
0 0
*MAT_SPRING_ELASTIC
$ mid k
1 100
*PART
spring
$ pid secid mid
1 1 1
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ LOAD DEFINITIONS $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*BOUNDARY_PRESCRIBED_MOTION_NODE
$ NODE DOF VAD LCID SF
1 2 2 1 1
*DEFINE_CURVE
1
0.0 0.0
200 1.0
*DAMPING_GLOBAL
$ lcid VALDMP
0 100
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ Control output $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*CONTROL_TERMINATION
200
*CONTROL_TIMESTEP
0.0000 0.9000 0 0.00 0.00
*END
F=4.964
弹簧需连接到有质量的单元，单独设置一个有质量的点用*ELEMENT_MASS
将“二、线性弹簧”中的弹簧刚度设为如下所示
(1)当弹簧受轴向力F=100N，自由端位移s=4m
(1)
*KEYWORD
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ NODE DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*NODE
1 0 0 0
2 10 0 0
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ ELEMENT DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*ELEMENT_DISCRETE
$ eid pid n1 n2
1 1 1 2
*ELEMENT_MASS
$ eid id mass
2 1 0.001
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ BOUNDARY DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*BOUNDARY_SPC_NODE
$# nsid cid dofx dofy dofz dofrx dofry dofrz
2 0 1 1 1 1 1 1
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ PARTS DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*SECTION_DISCRETE
$ secid dro
1 0 0 0 0 0
0 0
*MAT_SPRING_NONLINEAR_ELASTIC
$ MID LCD
1 2
*DEFINE_CURVE
2
$ DISPLACEMENT FORCE
-2.5 -50
-1.0 -0.01
0 0
1.0 0.01
2.5 100
*PART
spring
$ pid secid mid
1 1 1
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ LOAD DEFINITIONS $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*LOAD_NODE_POINT
$ nid dof lcid
1 1 1
*DEFINE_CURVE
1
0.0 0
100 100
200 100
*DAMPING_GLOBAL
$ lcid VALDMP
0 100
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ Control output $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*CONTROL_TERMINATION
200
*CONTROL_TIMESTEP
0.0000 0.9000 0 0.00 0.00
*END
s=4.00
正方形薄板边长L=2m，厚度h=0.01m，四边固支。薄板弹性模量E=200GPa，泊松比u-0.3。板中心受垂直集中载荷Q=400N作用，板的中心挠度理论解为w=0.0056QL^2/D，其中D=Eh^3/12(1-u^2)，代入求解得w=0.000489216
*KEYWORD
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ NODE DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*NODE
1 0 0 0
2 0.5 0 0
3 1 0 0
4 1.5 0 0
5 2 0 0
6 0 0.5 0
7 0.5 0.5 0
8 1 0.5 0
9 1.5 0.5 0
10 2 0.5 0
11 0 1 0
12 0.5 1 0
13 1 1 0
14 1.5 1 0
15 2 1 0
16 0 1.5 0
17 0.5 1.5 0
18 1 1.5 0
19 1.5 1.5 0
20 2 1.5 0
21 0 2 0
22 0.5 2 0
23 1 2 0
24 1.5 2 0
25 2 2 0
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ ELEMENT DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*ELEMENT_SHELL
1 1 1 2 7 6
2 1 2 3 8 7
3 1 3 4 9 8
4 1 4 5 10 9
5 1 6 7 12 11
6 1 7 8 13 12
7 1 8 9 14 13
8 1 9 10 15 14
9 1 11 12 17 16
10 1 12 13 18 17
11 1 13 14 19 18
12 1 14 15 20 19
13 1 16 17 22 21
14 1 17 18 23 22
15 1 18 19 24 23
16 1 19 20 25 24
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ BOUNDARY DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*SET_NODE_LIST_TITLE
Fixed all
1
1 2 3 4 5 6 10 11
15 16 20 21 22 23 24 25
*BOUNDARY_SPC_SET
$# nsid cid dofx dofy dofz dofrx dofry dofrz
1 0 1 1 1 1 1 1
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ PARTS DEFINITION $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*SECTION_SHELL
1
0.01 0.01 0.01 0.01 0
*MAT_ELASTIC
$ mid ro e pr
1 200 2.0e11 0.3
*PART
spring
$ pid secid mid
1 1 1
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ LOAD DEFINITIONS $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*LOAD_NODE_POINT
$ nid dof lcid
13 3 1
*DEFINE_CURVE
1
0.0 400
200 400
*DAMPING_GLOBAL
$ lcid VALDMP
0 100
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$ Control output $
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
*CONTROL_TERMINATION
200
*CONTROL_TIMESTEP
0.0000 0.9000 0 0.00 0.00
*END
w=0.0004551
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