Hello.
How properly set arc length method (*control) to solve this testing problem:
CalculiX doesn’t have the arc length (Riks) solver. The *CONTROLS keyword is just for the parameters of the Newton-Raphson solver and should be used only when absolutely necessary.
Ansys ARCLEN is Newton-Raphson too. Anyway - the question is how to get better convergence (TIME=1)
I think Calc_em is right but you may try any of these ideas: Unstable collapse and postbuckling analysis
try this, looks correct. Probably an be improved. I still need to understand why I am not able to continue a static case with dynamic one (should be faster). In this small problem a dynamic case from the beginning works well, further check on density and damping used is needed.
*NODE, NSET=Nall
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242,4.091277181454e+00,1.785346408694e+01,0.000000000000e+00
243,3.667471595707e+00,1.694940479612e+01,0.000000000000e+00
244,3.265806451447e+00,1.603529348782e+01,0.000000000000e+00
245,2.886519959338e+00,1.511167228304e+01,0.000000000000e+00
246,2.529837059841e+00,1.417908894667e+01,0.000000000000e+00
247,2.195969286070e+00,1.323809655322e+01,0.000000000000e+00
248,1.885114642429e+00,1.228925316950e+01,0.000000000000e+00
249,1.597457485296e+00,1.133312151955e+01,0.000000000000e+00
250,1.333168411891e+00,1.037026864457e+01,0.000000000000e+00
251,1.092404161519e+00,9.401265573979e+00,0.000000000000e+00
252,8.753075223468e-01,8.426686986815e+00,0.000000000000e+00
253,6.820072452553e-01,7.447110864514e+00,0.000000000000e+00
254,5.126179695117e-01,6.463118157460e+00,0.000000000000e+00
255,3.672401531035e-01,5.475292432778e+00,0.000000000000e+00
256,2.459600134794e-01,4.484219528199e+00,0.000000000000e+00
257,1.488494773847e-01,3.490487212214e+00,0.000000000000e+00
258,7.596613688733e-02,2.494684823942e+00,0.000000000000e+00
259,2.735321658119e-02,1.497402938824e+00,0.000000000000e+00
260,3.039546729674e-03,4.992330047075e-01,0.000000000000e+00
*ELEMENT, TYPE=B32, ELSET=Eall
4, 3, 132, 4
5, 4, 133, 5
6, 5, 134, 6
7, 6, 135, 7
8, 7, 136, 8
9, 8, 137, 9
10, 9, 138, 10
11, 10, 139, 11
12, 11, 140, 12
13, 12, 141, 13
14, 13, 142, 14
15, 14, 143, 15
16, 15, 144, 16
17, 16, 145, 17
18, 17, 146, 18
19, 18, 147, 19
20, 19, 148, 20
21, 20, 149, 21
22, 21, 150, 22
23, 22, 151, 23
24, 23, 152, 24
25, 24, 153, 25
26, 25, 154, 26
27, 26, 155, 27
28, 27, 156, 28
29, 28, 157, 29
30, 29, 158, 30
31, 30, 159, 31
32, 31, 160, 32
33, 32, 161, 33
34, 33, 162, 34
35, 34, 163, 35
36, 35, 164, 36
37, 36, 165, 37
38, 37, 166, 38
39, 38, 167, 39
40, 39, 168, 40
41, 40, 169, 41
42, 41, 170, 42
43, 42, 171, 43
44, 43, 172, 44
45, 44, 173, 45
46, 45, 174, 46
47, 46, 175, 47
48, 47, 176, 48
49, 48, 177, 49
50, 49, 178, 50
51, 50, 179, 51
52, 51, 180, 52
53, 52, 181, 53
54, 53, 182, 54
55, 54, 183, 55
56, 55, 184, 56
57, 56, 185, 57
58, 57, 186, 58
59, 58, 187, 59
60, 59, 188, 60
61, 60, 189, 61
62, 61, 190, 62
63, 62, 191, 63
64, 63, 192, 64
65, 64, 193, 65
66, 65, 194, 66
67, 66, 195, 67
68, 67, 196, 68
69, 68, 197, 69
70, 69, 198, 70
71, 70, 199, 71
72, 71, 200, 72
73, 72, 201, 73
74, 73, 202, 74
75, 74, 203, 75
76, 75, 204, 76
77, 76, 205, 77
78, 77, 206, 78
79, 78, 207, 79
80, 79, 208, 80
81, 80, 209, 81
82, 81, 210, 82
83, 82, 211, 83
84, 83, 212, 84
85, 84, 213, 85
86, 85, 214, 86
87, 86, 215, 87
88, 87, 216, 88
89, 88, 217, 89
90, 89, 218, 90
91, 90, 219, 91
92, 91, 220, 92
93, 92, 221, 93
94, 93, 222, 94
95, 94, 223, 95
96, 95, 224, 96
97, 96, 225, 97
98, 97, 226, 98
99, 98, 227, 99
100, 99, 228, 100
101, 100, 229, 101
102, 101, 230, 102
103, 102, 231, 103
104, 103, 232, 104
105, 104, 233, 105
106, 105, 234, 106
107, 106, 235, 107
108, 107, 236, 108
109, 108, 237, 109
110, 109, 238, 110
111, 110, 239, 111
112, 111, 240, 112
113, 112, 241, 113
114, 113, 242, 114
115, 114, 243, 115
116, 115, 244, 116
117, 116, 245, 117
118, 117, 246, 118
119, 118, 247, 119
120, 119, 248, 120
121, 120, 249, 121
122, 121, 250, 122
123, 122, 251, 123
124, 123, 252, 124
125, 124, 253, 125
126, 125, 254, 126
127, 126, 255, 127
128, 127, 256, 128
129, 128, 257, 129
130, 129, 258, 130
131, 130, 259, 131
132, 131, 260, 1
** Names based on fix
*NSET,NSET=fix
1,
3,
** Names based on Line1
*ELSET,ELSET=Line1
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32,
33,
34,
35,
36,
37,
38,
39,
40,
41,
42,
43,
44,
45,
46,
47,
48,
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
59,
60,
61,
62,
63,
64,
65,
66,
67,
68,
69,
70,
71,
72,
73,
74,
75,
76,
77,
78,
79,
80,
81,
82,
83,
84,
85,
86,
87,
88,
89,
90,
91,
92,
93,
94,
95,
96,
97,
98,
99,
100,
101,
102,
103,
104,
105,
106,
107,
108,
109,
110,
111,
112,
113,
114,
115,
116,
117,
118,
119,
120,
121,
122,
123,
124,
125,
126,
127,
128,
129,
130,
131,
132,
** Names based on load
*NSET,NSET=load
66,
*MATERIAL,NAME=mat
*ELASTIC
3.0000E+07,0.3
*DENSITY
1.0000E+00
*damping,structural=0.01
*EXPANSION
0.0000E+00
*BEAM SECTION,MATERIAL=mat,ELSET=Eall,OFFSET1=0.0000E+00,OFFSET2=0.0000E+00,SECTION=rect
5.0000E-01,5.0000E-01
0.0000E+00,0.0000E+00,-1.0000E+00
*BOUNDARY
fix,1,1,0
fix,2,2,0
** fix,3,3,0
fix,4,4,0
fix,5,5,0
fix,6,6,0
*BOUNDARY
Nall,3,3,0
*AMPLITUDE,NAME=A1,TIME=TOTAL TIME
0.0,0.0000E+00,
0.4,0.8000E+03,
1.0,2.0000E+03,
*STEP,NLGEOM,INC=1000
*DYNAMIC
0.0001,1.0
*CLOAD,amplitude=A1
load,2,-1.
*NODE FILE
U,
*EL FILE
S,
*NODE PRINT,NSET=fix
RF
*NODE PRINT,NSET=fix
RF
*NODE PRINT,NSET=Nall
RF
*END STEP
the results:
it seems this type of analysis can be solved with currently algorithm available in CalculiX, needed to assign as displacement i.e 1.5R then record and plot reactions.
right, I noticed later. However your load does not look like fitting the proposed example. Did you change any parameter? cross section, material, etc…
I’ve redone it, however load curve does not match.
*NODE, NSET=Nall
1,0.000000000000e+00,0.000000000000e+00,0.000000000000e+00
2,4.100000000000e+01,0.000000000000e+00,0.000000000000e+00
3,8.200000000000e+01,0.000000000000e+00,0.000000000000e+00
4,8.198784226358e+01,9.983919949007e-01,0.000000000000e+00
5,8.195137626461e+01,1.996191883056e+00,0.000000000000e+00
6,8.189062362964e+01,2.992807908889e+00,0.000000000000e+00
7,8.180562038861e+01,3.987649019237e+00,0.000000000000e+00
8,8.169641695356e+01,4.980125213469e+00,0.000000000000e+00
9,8.156307808881e+01,5.969647892553e+00,0.000000000000e+00
10,8.140568287235e+01,6.955630210076e+00,0.000000000000e+00
11,8.122432464888e+01,7.937487419928e+00,0.000000000000e+00
12,8.101911097469e+01,8.914637221755e+00,0.000000000000e+00
13,8.079016355412e+01,9.886500105522e+00,0.000000000000e+00
14,8.053761816661e+01,1.085249969877e+01,0.000000000000e+00
15,8.026162458693e+01,1.181206310493e+01,0.000000000000e+00
16,7.996234649581e+01,1.276462124546e+01,0.000000000000e+00
17,7.963996138286e+01,1.370960919687e+01,0.000000000000e+00
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22,7.768859534178e+01,1.830155654164e+01,0.000000000000e+00
23,7.723205441960e+01,1.918953445332e+01,0.000000000000e+00
24,7.675402570332e+01,2.006613181474e+01,0.000000000000e+00
25,7.625479269330e+01,2.093082874977e+01,0.000000000000e+00
26,7.573465146408e+01,2.178311244219e+01,0.000000000000e+00
27,7.519391049122e+01,2.262247743547e+01,0.000000000000e+00
28,7.463289046783e+01,2.344842593393e+01,0.000000000000e+00
29,7.405192411275e+01,2.426046810028e+01,0.000000000000e+00
30,7.345135597273e+01,2.505812234648e+01,0.000000000000e+00
31,7.283154222118e+01,2.584091561500e+01,0.000000000000e+00
32,7.219285044627e+01,2.660838366073e+01,0.000000000000e+00
33,7.153565942817e+01,2.736007133190e+01,0.000000000000e+00
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37,6.872985769117e+01,3.020024821798e+01,0.000000000000e+00
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41,6.566112332304e+01,3.275406839533e+01,0.000000000000e+00
42,6.485621544210e+01,3.334487943868e+01,0.000000000000e+00
43,6.403715938531e+01,3.391591495826e+01,0.000000000000e+00
44,6.320444090337e+01,3.446683629475e+01,0.000000000000e+00
45,6.235855384839e+01,3.499731671865e+01,0.000000000000e+00
46,6.149999988293e+01,3.550704162275e+01,0.000000000000e+00
47,6.062928817933e+01,3.599570871053e+01,0.000000000000e+00
48,5.974693512498e+01,3.646302817128e+01,0.000000000000e+00
49,5.885346400961e+01,3.690872285595e+01,0.000000000000e+00
50,5.794940471431e+01,3.733252844143e+01,0.000000000000e+00
51,5.703529339940e+01,3.773419358613e+01,0.000000000000e+00
52,5.611167218810e+01,3.811348007831e+01,0.000000000000e+00
53,5.517908884449e+01,3.847016297782e+01,0.000000000000e+00
54,5.423809644483e+01,3.880403075091e+01,0.000000000000e+00
55,5.328925305496e+01,3.911488539356e+01,0.000000000000e+00
56,5.233312139640e+01,3.940254255012e+01,0.000000000000e+00
57,5.137026851479e+01,3.966683162204e+01,0.000000000000e+00
58,5.040126543756e+01,3.990759587062e+01,0.000000000000e+00
59,4.942668684269e+01,4.012469250792e+01,0.000000000000e+00
60,4.844711071454e+01,4.031799278245e+01,0.000000000000e+00
61,4.746311800260e+01,4.048738205521e+01,0.000000000000e+00
62,4.647529227023e+01,4.063275986880e+01,0.000000000000e+00
63,4.548421935895e+01,4.075404000514e+01,0.000000000000e+00
64,4.449048703338e+01,4.085115053790e+01,0.000000000000e+00
65,4.349468464026e+01,4.092403387431e+01,0.000000000000e+00
66,4.249740274799e+01,4.097264679039e+01,0.000000000000e+00
67,4.149923280678e+01,4.099696045568e+01,0.000000000000e+00
68,4.050076679315e+01,4.099696045081e+01,0.000000000000e+00
69,3.950259685696e+01,4.097264677595e+01,0.000000000000e+00
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71,3.750951258447e+01,4.085115050524e+01,0.000000000000e+00
72,3.651578026589e+01,4.075403996386e+01,0.000000000000e+00
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78,3.062973115172e+01,3.966683153485e+01,0.000000000000e+00
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*ELEMENT, TYPE=B32, ELSET=Eall
4, 3, 132, 4
5, 4, 133, 5
6, 5, 134, 6
7, 6, 135, 7
8, 7, 136, 8
9, 8, 137, 9
10, 9, 138, 10
11, 10, 139, 11
12, 11, 140, 12
13, 12, 141, 13
14, 13, 142, 14
15, 14, 143, 15
16, 15, 144, 16
17, 16, 145, 17
18, 17, 146, 18
19, 18, 147, 19
20, 19, 148, 20
21, 20, 149, 21
22, 21, 150, 22
23, 22, 151, 23
24, 23, 152, 24
25, 24, 153, 25
26, 25, 154, 26
27, 26, 155, 27
28, 27, 156, 28
29, 28, 157, 29
30, 29, 158, 30
31, 30, 159, 31
32, 31, 160, 32
33, 32, 161, 33
34, 33, 162, 34
35, 34, 163, 35
36, 35, 164, 36
37, 36, 165, 37
38, 37, 166, 38
39, 38, 167, 39
40, 39, 168, 40
41, 40, 169, 41
42, 41, 170, 42
43, 42, 171, 43
44, 43, 172, 44
45, 44, 173, 45
46, 45, 174, 46
47, 46, 175, 47
48, 47, 176, 48
49, 48, 177, 49
50, 49, 178, 50
51, 50, 179, 51
52, 51, 180, 52
53, 52, 181, 53
54, 53, 182, 54
55, 54, 183, 55
56, 55, 184, 56
57, 56, 185, 57
58, 57, 186, 58
59, 58, 187, 59
60, 59, 188, 60
61, 60, 189, 61
62, 61, 190, 62
63, 62, 191, 63
64, 63, 192, 64
65, 64, 193, 65
66, 65, 194, 66
67, 66, 195, 67
68, 67, 196, 68
69, 68, 197, 69
70, 69, 198, 70
71, 70, 199, 71
72, 71, 200, 72
73, 72, 201, 73
74, 73, 202, 74
75, 74, 203, 75
76, 75, 204, 76
77, 76, 205, 77
78, 77, 206, 78
79, 78, 207, 79
80, 79, 208, 80
81, 80, 209, 81
82, 81, 210, 82
83, 82, 211, 83
84, 83, 212, 84
85, 84, 213, 85
86, 85, 214, 86
87, 86, 215, 87
88, 87, 216, 88
89, 88, 217, 89
90, 89, 218, 90
91, 90, 219, 91
92, 91, 220, 92
93, 92, 221, 93
94, 93, 222, 94
95, 94, 223, 95
96, 95, 224, 96
97, 96, 225, 97
98, 97, 226, 98
99, 98, 227, 99
100, 99, 228, 100
101, 100, 229, 101
102, 101, 230, 102
103, 102, 231, 103
104, 103, 232, 104
105, 104, 233, 105
106, 105, 234, 106
107, 106, 235, 107
108, 107, 236, 108
109, 108, 237, 109
110, 109, 238, 110
111, 110, 239, 111
112, 111, 240, 112
113, 112, 241, 113
114, 113, 242, 114
115, 114, 243, 115
116, 115, 244, 116
117, 116, 245, 117
118, 117, 246, 118
119, 118, 247, 119
120, 119, 248, 120
121, 120, 249, 121
122, 121, 250, 122
123, 122, 251, 123
124, 123, 252, 124
125, 124, 253, 125
126, 125, 254, 126
127, 126, 255, 127
128, 127, 256, 128
129, 128, 257, 129
130, 129, 258, 130
131, 130, 259, 131
132, 131, 260, 1
** Names based on fix
*NSET,NSET=fix
1,
3,
** Names based on Line1
*ELSET,ELSET=Line1
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32,
33,
34,
35,
36,
37,
38,
39,
40,
41,
42,
43,
44,
45,
46,
47,
48,
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
59,
60,
61,
62,
63,
64,
65,
66,
67,
68,
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93,
94,
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100,
101,
102,
103,
104,
105,
106,
107,
108,
109,
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111,
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113,
114,
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116,
117,
118,
119,
120,
121,
122,
123,
124,
125,
126,
127,
128,
129,
130,
131,
132,
** Names based on load
*NSET,NSET=load
66,
*MATERIAL,NAME=mat
*ELASTIC
3.0000E+07,0.3
*DENSITY
0.0000E+00
*EXPANSION
0.0000E+00
*BEAM SECTION,MATERIAL=mat,ELSET=Eall,OFFSET1=0.0000E+00,OFFSET2=0.0000E+00,SECTION=rect
5.0000E-01,5.0000E-01
0.0000E+00,0.0000E+00,-1.0000E+00
*BOUNDARY
fix,1,1,0
fix,2,2,0
** fix,3,3,0
fix,4,4,0
fix,5,5,0
fix,6,6,0
*BOUNDARY
Nall,3,3,0
*surface,name=S66
66,S6
*STEP,NLGEOM,INC=1000
*STATIC
0.1,1
*boundary
load,2,2,-66.1
*NODE FILE
U,RF
*EL FILE
S,
*section print,surface=S66,name=SP66
SOF
** *NODE PRINT,NSET=fix
** RF
** *NODE PRINT,NSET=load
** RF
** *NODE PRINT,NSET=Nall
** RF
*END STEP
sorry i did not mention before in building similar model from scratch without refer to original geometry, section and loads. Previously i doubt using beam element for such cases, then rebuild another model using linear solid element with reduced integration.
There is a nice snap-through example in CalculiX here: https://www.youtube.com/watch?v=qkjnP1HwPLw
Arc-length would be the desired method to solve such problems but displacement-controlled NR may often handle them too. Unfortunately, there’s no stabilization for statoc steps so one could try with *DYNAMIC.
the capabilities of snap through buckling analysis has been mention since early version as shown by last examples in official webs. However, as notified it may have limitation in complex buckling and force controlled (load type) so Riks algorithm still needed also interesting to implement but not yet has been done.
I’ve found mistake at my inp. file.
The section is 1x0.5, not 0.5x0.5
now seems ok
another example for non-symmetric condition similar to this link, result seems identical and CalculiX is fast in convergences.
