def rhombus_3x1_crane(n_steps = 10, dx = 1.0):
'''
This is a first modell, which should lift the creasepattern.
It shows a configuration of constrains in which the crane will lift the pattern
in the expectet form. NOTE: There is no influence of gravity.
'''
cp = Lifting(n_steps = n_steps, MAX_ITER = 500)
cp.N = [[0, 0, 0], #0
[0, 1, 0],
[1, 0, 0],
[1, 1, 0],
[2, 0, 0],
[2, 1, 0], #5
[3, 0, 0],
[3, 1, 0],
[0, 0.5, 0],
[3, 0.5, 0],
[0.5, 0.5, 0], #10
[1.5, 0.5, 0],
[2.5, 0.5, 0],
[0.5, 0.333, 0], #13
[0.5, 0.667, 0],
[1.5, 0.333, 0],
[1.5, 0.667, 0],
[2.5, 0.333, 0],
[2.5, 0.667, 0],
[1.5, 0.5, 1.0],
[0, 0.5, 1], #20
[3, 0.5, 1],
[0, 0.333, 1.0],
[0, 0.667, 1.0],
[3, 0.333, 1.0],
[3, 0.667, 1.0],
[1.5, 0.333, 1.0],
[1.5, 0.667, 1.0]
]
cp.L = [[0, 2], #0
[0, 8],
[0, 10],
[1, 3],
[1, 8],
[1, 10],
[2, 4],
[2, 10],
[2, 11],
[3, 5],
[3, 10], #10
[3, 11],
[4, 6],
[4, 11],
[4, 12],
[5, 7],
[5, 11],
[5, 12],
[6, 9],
[6, 12],
[7, 9], #20
[7, 12],
[8, 10],
[9, 12],
[10, 11],
[11, 12],
[19, 20], #26
[19, 21],
[20, 22],
[20, 23],
[19, 26],
[19, 27],
[21, 24],
[21, 25],
[13, 22],
[14, 23],
[15, 26],
[16, 27],
[17, 24],
[18, 25],
# [20, 8],
# [9, 21]
]
cp.F = [[0, 2, 10],
[2, 4, 11],
[4, 6, 12],
[2, 11, 10],
[4, 11, 12],
[0, 8, 10],
[6, 9, 12],
[1, 3, 10],
[3, 5, 11],
[5, 7, 12],
[3, 10, 11],
[5, 11, 12],
[1, 8, 10],
[7, 9, 12]
]
cp.GP = [[13, 0],
[14, 7],
[15, 1],
[16, 8],
[17, 2],
[18, 9]
]
cp.cnstr_lhs = [[(19, 2, 1.0)],
[(19, 1, 1.0)],
[(19, 0, 1.0)],
[(20, 1, 1.0)],
[(20, 2, 1.0)],
[(21, 1, 1.0)],
[(21, 2, 1.0)],
[(20, 0, 1.0), (22, 0, -1.0)],
[(20, 0, 1.0), (23, 0, -1.0)],
[(20, 2, 1.0), (22, 2, -1.0)],
[(20, 2, 1.0), (23, 2, -1.0)],
[(19, 0, 1.0), (26, 0, -1.0)],
[(19, 0, 1.0), (27, 0, -1.0)],
[(19, 2, 1.0), (26, 2, -1.0)],
[(19, 2, 1.0), (27, 2, -1.0)],
[(21, 0, 1.0), (24, 0, -1.0)],
[(21, 0, 1.0), (25, 0, -1.0)],
[(21, 2, 1.0), (24, 2, -1.0)],
[(21, 2, 1.0), (25, 2, -1.0)],
[(14, 1, 1.0), (16, 1, -1.0)],
#[(8, 2, 1.0)],
[(11, 1, 1.0)],
#[(9, 2, 1.0)],
[(11, 0, 1.0)],
[(13, 0, 1.0), (14, 0, -1.0)],
[(16, 1, 1.0), (18, 1, -1.0)],
[(2, 2, 1.0), (4, 2, -1.0)],
#[(13, 2, 1.0), (17, 2, -1.0)],
[(13, 1, 1.0), (15, 1, -1.0)]
]
cp.cnstr_rhs[0] = dx
cp.u_0[2] = 0.00005
cp.u_0[5] = 0.00005
cp.u_0[20] = 0.00005
cp.u_0[23] = 0.00005
cp.u_0[35] = 0.0003
cp.u_0[8] = 0.00025
cp.u_0[11] = 0.00025
cp.u_0[14] = 0.00025
cp.u_0[17] = 0.00025
cp.u_0[32] = 0.00017
cp.u_0[38] = 0.00017
cp.u_0[41] = 0.00016334
cp.u_0[44] = 0.00016334
cp.u_0[47] = 0.00028335
cp.u_0[50] = 0.00028335
cp.u_0[53] = 0.00016334
cp.u_0[56] = 0.00016334
cp.u_0[59] = 0.00025
cp.u_0[66] = 0.0001
cp.u_0[68] = 0.00016334
cp.u_0[69] = -0.0001
cp.u_0[71] = 0.00016334
cp.u_0[72] = 0.0001
cp.u_0[74] = 0.00016334
cp.u_0[75] = 0.0001
cp.u_0[77] = 0.00016334
cp.u_0[78] = -0.0001
cp.u_0[80] = 0.00016334
cp.u_0[81] = -0.0001
cp.u_0[83] = 0.00016334
# cp.u_0[86] = 0.00025
# cp.u_0[89] = 0.00025
print 'n_dofs', cp.n_dofs
print 'n_c', cp.n_c
print 'n_g', cp.n_g
print 'necessary constraints', cp.n_dofs - cp.n_c - cp.n_g * cp.n_d - cp.n_l * 2
print 'cnstr', len(cp.cnstr_lhs)
return cp
def rhombus_3x1_crane(n_steps = 10, dx = 1.5):
cp = Lifting(n_steps = n_steps, MAX_ITER = 5000)
cp.N = [[0, 0, 0], #0
[0, 1, 0],
[1, 0, 0],
[1, 1, 0],
[2, 0, 0],
[2, 1, 0], #5
[3, 0, 0],
[3, 1, 0],
[0, 0.5, 0],
[3, 0.5, 0],
[0.5, 0.5, 0], #10
[1.5, 0.5, 0],
[2.5, 0.5, 0],
[0.5, 0.333, 0], #13
[0.5, 0.667, 0],
[1.5, 0.333, 0],
[1.5, 0.667, 0],
[2.5, 0.333, 0],
[2.5, 0.666, 0],
#crane
[0, 0, 1], #19
[0.5, 0, 1],
[1.5, 0, 1],
[2.5, 0, 1],
[3, 0, 1],
[0, 1, 1.01],
[0.5, 1, 1.], #25
[1.5, 1, 1.],
[2.5, 1, 1.],
[3, 1, 1.],
[0, 0.5, 1.],
[3, 0.5, 1.], #30
[0.5, 0.333, 1.],
[0.5, 0.667, 1.],
[1.5, 0.333, 1.],
[1.5, 0.667, 1.],
[2.5, 0.333, 1.], #35
[2.5, 0.667, 1.],
[0.5, 0.333, 1.2],
[0.5, 0.667, 1.2],
[1.5, 0.333, 1.2],
[1.5, 0.667, 1.2], #40
[2.5, 0.333, 1.2],
[2.5, 0.667, 1.2],
]
cp.L = [[0, 2], #0
[0, 8],
[0, 10],
[1, 3],
[1, 8],
[1, 10],
[2, 4],
[2, 10],
[2, 11],
[3, 5],
[3, 10], #10
[3, 11],
[4, 6],
[4, 11],
[4, 12],
[5, 7],
[5, 11],
[5, 12],
[6, 9],
[6, 12],
[7, 9], #20
[7, 12],
[8, 10],
[9, 12],
[10, 11],
[11, 12],
#crane
[19, 20],
[20, 21],
[21, 22],
[22, 23],
[24, 25], #30
[25, 26],
[26, 27],
[27, 28],
[19, 29],
[29, 24],
[20, 25],
[21, 26],
[22, 27],
[23, 30],
[30, 28], #40
[29, 8],
[30, 9],
[37, 13],
[38, 14],
[39, 15], #45
[40, 16],
[41, 17],
[42, 18]
]
cp.F = [[0, 2, 10],
[2, 4, 11],
[4, 6, 12],
[2, 11, 10],
[4, 11, 12],
[0, 8, 10],
[6, 9, 12],
[1, 3, 10],
[3, 5, 11],
[5, 7, 12],
[3, 10, 11],
[5, 11, 12],
[1, 8, 10],
[7, 9, 12]
]
cp.LP = [[31, 36],
[32, 36],
[33, 37],
[34, 37],
[35, 38],
[36, 38],
[31, 43],
[32, 44],
[33, 45],
[34, 46],
[35, 47],
[36, 48], ]
cp.GP = [[13, 0],
[14, 7],
[15, 1],
[16, 8],
[17, 2],
[18, 9]
]
cp.cnstr_lhs = [[(39, 2, 1.0)],
[(39, 2, 1.0), (40, 2, -1.0)],
[(19, 2, 1.0)],
[(19, 2, 1.0), (20, 2, -1.0)],
[(20, 2, 1.0), (21, 2, -1.0)],
[(21, 2, 1.0), (22, 2, -1.0)],
[(22, 2, 1.0), (23, 2, -1.0)],
[(19, 2, 1.0), (29, 2, -1.0)],
[(29, 2, 1.0), (24, 2, -1.0)],
[(24, 2, 1.0), (25, 2, -1.0)],
[(25, 2, 1.0), (26, 2, -1.0)],
[(26, 2, 1.0), (27, 2, -1.0)],
[(27, 2, 1.0), (28, 2, -1.0)],
[(28, 2, 1.0), (30, 2, -1.0)],
[(19, 1, 1.0)],
[(19, 1, 1.0), (20, 1, -1.0)],
[(20, 1, 1.0), (21, 1, -1.0)],
[(21, 1, 1.0), (22, 1, -1.0)],
[(22, 1, 1.0), (23, 1, -1.0)],
[(19, 0, 1.0)],
[(19, 0, 1.0), (24, 0, -1.0)],
[(23, 0, 1.0), (30, 0, -1.0)],
[(19, 0, 1.0), (29, 0, -1.0)],
[(13, 1, 1.0), (37, 1, -1.0)],
[(14, 1, 1.0), (38, 1, -1.0)],
[(15, 1, 1.0), (39, 1, -1.0)],
[(16, 1, 1.0), (40, 1, -1.0)],
[(17, 1, 1.0), (41, 1, -1.0)],
[(18, 1, 1.0), (42, 1, -1.0)],
[(31, 1, 1.0), (33, 1, -1.0)],
[(33, 1, 1.0), (35, 1, -1.0)],
[(32, 1, 1.0), (34, 1, -1.0)],
#[(34, 1, 1.0), (36, 1, -1.0)],
[(32, 1, 1.0), (31, 1, 1.0)],
#[(37, 2, 1.0), (38, 2, -1.0)],
#[(39, 2, 1.0), (40, 2, -1.0)], siehe oben verknuepfung lasteinleitung
[(41, 2, 1.0), (42, 2, -1.0)],
[(39, 0, 1.0)],
[(40, 0, 1.0)],
[(37, 2, 1.0), (41, 2, -1.0)],
[(2, 1, 1.0), (4, 1, -1.0)]
]
cp.cnstr_rhs[0] = dx
cp.u_0[2] = 0.00005
cp.u_0[5] = 0.00005
cp.u_0[20] = 0.00005
cp.u_0[23] = 0.00005
cp.u_0[35] = 0.0003
cp.u_0[8] = 0.00025
cp.u_0[11] = 0.00025
cp.u_0[14] = 0.00025
cp.u_0[17] = 0.00025
cp.u_0[32] = 0.00017
cp.u_0[38] = 0.00017
cp.u_0[41] = 0.00016334
cp.u_0[44] = 0.00016334
cp.u_0[47] = 0.00028335
cp.u_0[50] = 0.00028335
cp.u_0[53] = 0.00016334
cp.u_0[56] = 0.00016334
cp.u_0[119] = 0.00028335
cp.u_0[122] = 0.00028335
cp.u_0[113] = 0.00016334
cp.u_0[116] = 0.00016334
cp.u_0[125] = 0.00016334
cp.u_0[128] = 0.00016334
print 'n_dofs', cp.n_dofs
print 'n_c', cp.n_c
print 'n_g', cp.n_g
print 'necessary constraints', cp.n_dofs - cp.n_c - cp.n_g * cp.n_d - cp.n_l * 2
print 'cnstr', len(cp.cnstr_lhs)
return cp
def rhombus_3x1_crane_sticks(n_steps=10, dx=1.0):
cp = Lifting(n_steps=n_steps, MAX_ITER=500)
cp.N = [[0, 0, 0], #0
[0, 1, 0],
[1, 0, 0],
[1, 1, 0],
[2, 0, 0],
[2, 1, 0], #5
[3, 0, 0],
[3, 1, 0],
[0, 0.5, 0],
[3, 0.5, 0],
[0.5, 0.5, 0], #10
[1.5, 0.5, 0],
[2.5, 0.5, 0],
[0.5, 0.333, 0], #13
[0.5, 0.667, 0],
[1.5, 0.333, 0],
[1.5, 0.667, 0],
[2.5, 0.333, 0],
[2.5, 0.666, 0],
[1.5, 0.5, 1.0],
[0, 0.5, 1],
[3, 0.5, 1],
[0.5, 0.5, 1.0],
[2.5, 0.5, 1.0],
[0.5, 0.333, 1.0],
[0.5, 0.667, 1.0],
[2.5, 0.333, 1.0],
[2.5, 0.667, 1.0],
[1.5, 0.333, 1.0],
[1.5, 0.667, 1.0]
]
cp.L = [[0, 2], #0
[0, 8],
[0, 10],
[1, 3],
[1, 8],
[1, 10],
[2, 4],
[2, 10],
[2, 11],
[3, 5],
[3, 10], #10
[3, 11],
[4, 6],
[4, 11],
[4, 12],
[5, 7],
[5, 11],
[5, 12],
[6, 9],
[6, 12],
[7, 9], #20
[7, 12],
[8, 10],
[9, 12],
[10, 11],
[11, 12],
[19, 20], #26
[19, 21],
[22, 24],
[22, 25],
[19, 28],
[19, 29],
[23, 26],
[23, 27],
[13, 24],
[14, 25],
[15, 28],
[16, 29],
[17, 26],
[18, 27],
[20, 8],
[9, 21]
]
cp.F = [[0, 2, 10],
[2, 4, 11],
[4, 6, 12],
[2, 11, 10],
[4, 11, 12],
[0, 8, 10],
[6, 9, 12],
[1, 3, 10],
[3, 5, 11],
[5, 7, 12],
[3, 10, 11],
[5, 11, 12],
[1, 8, 10],
[7, 9, 12]
]
cp.LP = [[22, 26],
[23, 27]]
cp.GP = [[13, 0],
[14, 7],
[15, 1],
[16, 8],
[17, 2],
[18, 9]
]
cp.cnstr_lhs = [[(19, 2, 1.0)],
[(19, 1, 1.0)],
[(19, 0, 1.0)],
[(20, 1, 1.0)],
[(20, 2, 1.0)],
[(21, 1, 1.0)],
[(21, 2, 1.0)],
[(22, 0, 1.0), (24, 0, -1.0)],
[(22, 0, 1.0), (25, 0, -1.0)],
[(22, 2, 1.0), (24, 2, -1.0)],
[(22, 2, 1.0), (25, 2, -1.0)],
[(19, 0, 1.0), (28, 0, -1.0)],
[(19, 0, 1.0), (29, 0, -1.0)],
[(19, 2, 1.0), (28, 2, -1.0)],
[(19, 2, 1.0), (29, 2, -1.0)],
[(23, 0, 1.0), (26, 0, -1.0)],
[(23, 0, 1.0), (27, 0, -1.0)],
[(23, 2, 1.0), (26, 2, -1.0)],
[(23, 2, 1.0), (27, 2, -1.0)],
[(14, 1, 1.0), (16, 1, -1.0)],
#[(8, 2, 1.0)],
[(11, 1, 1.0)],
#[(9, 2, 1.0)],
[(11, 0, 1.0)],
[(13, 0, 1.0), (14, 0, -1.0)],
[(16, 1, 1.0), (18, 1, -1.0)],
[(2, 2, 1.0), (4, 2, -1.0)],
#[(13, 2, 1.0), (17, 2, -1.0)],
[(13, 1, 1.0), (15, 1, -1.0)]
]
cp.cnstr_rhs[0] = dx
cp.u_0[2] = 0.00005
cp.u_0[5] = 0.00005
cp.u_0[20] = 0.00005
cp.u_0[23] = 0.00005
cp.u_0[35] = 0.0003
cp.u_0[8] = 0.00025
cp.u_0[11] = 0.00025
cp.u_0[14] = 0.00025
cp.u_0[17] = 0.00025
cp.u_0[32] = 0.00017
cp.u_0[38] = 0.00017
cp.u_0[41] = 0.00016334
cp.u_0[44] = 0.00016334
cp.u_0[47] = 0.00028335
cp.u_0[50] = 0.00028335
cp.u_0[53] = 0.00016334
cp.u_0[56] = 0.00016334
cp.u_0[59] = 0.00025
cp.u_0[66] = 0.0001
cp.u_0[68] = 0.00016334
cp.u_0[69] = -0.0001
cp.u_0[71] = 0.00016334
cp.u_0[72] = 0.0001
cp.u_0[74] = 0.00016334
cp.u_0[75] = 0.0001
cp.u_0[77] = 0.00016334
cp.u_0[78] = -0.0001
cp.u_0[80] = 0.00016334
cp.u_0[81] = -0.0001
cp.u_0[83] = 0.00016334
cp.u_0[86] = 0.00025
cp.u_0[89] = 0.00025
print 'n_dofs', cp.n_dofs
print 'n_c', cp.n_c
print 'n_g', cp.n_g
print 'necessary constraints', cp.n_dofs - cp.n_c - cp.n_g * cp.n_d - cp.n_l * 2
print 'cnstr', len(cp.cnstr_lhs)
return cp
