def test_length(self):
n_ori = st.Node("N1")
n_end = st.Node("N2", position=(1, 2, 3))
bar = st.Bar("B1", n_ori, n_end)
self.assertAlmostEqual(bar.length(), 3.741657387)
def test_constructor(self):
n1 = st.Node("N1")
n2 = st.Node("N2", position=(0, 2, 3))
n3 = st.Node("N3", position=(1, 2, 3))
bar_1 = st.Bar("B1", n1, n2)
bar_2 = st.Bar("B2", n2, n3)
bar_list = [bar_2, bar_1]
self.assertRaises(TypeError, st.Structure, "name", bar_1)
self.assertRaises(TypeError, st.Structure, "name", bar_list)
bar_dict = {
'b1': bar_1,
'b2': bar_2
}
structure = st.Structure("S1", bar_dict)
self.assertEqual(structure.name, "S1")
self.assertEqual(structure.bars.get('b1'), bar_1)
self.assertEqual(structure.bars.get('b2'), bar_2)
bar_3 = st.Bar("B1", n2, n3)
bar_dict = {
'b1': bar_1,
'b2': bar_3
}
self.assertRaises(ValueError, st.Structure, "name", bar_dict)
def test_set_name(self):
n_ori = st.Node("N1")
n_end = st.Node("N2")
bar = st.Bar("B1", n_ori, n_end)
bar.set_name("New name")
self.assertEqual("New name", bar.name)
self.assertRaises(TypeError, bar.set_name, 0)
def test_set_end(self):
n_ori = st.Node("N1")
n_end = st.Node("N2")
bar = st.Bar("B1", n_ori, n_end)
self.assertEqual(bar.end, n_end)
new_end = st.Node("N3", (1, 2, 3))
bar.set_end(new_end)
self.assertEqual(bar.end, new_end)
self.assertRaises(TypeError, bar.set_end, 0)
self.assertRaises(TypeError, bar.set_end, (0, 0, 0))
def test_set_origin(self):
n_ori = st.Node("N1")
n_end = st.Node("N2")
bar = st.Bar("B1", n_ori, n_end)
self.assertEqual(bar.origin, n_ori)
new_origin = st.Node("N3", position=(1, 2, 3))
bar.set_origin(new_origin)
self.assertEqual(bar.origin, new_origin)
self.assertRaises(TypeError, bar.set_origin, 0)
def test_system_change_matrix_2d_rigid_nodes(self):
n_ori = st.Node("N1")
n_end = st.Node("N2", position=(0, 4.2, 0))
bar = st.Bar("B1", n_ori, n_end)
calculated_matrix = bar.system_change_matrix_2d_rigid_nodes()
expected_matrix = np.array([
[0, -1, 0],
[1, 0, 0],
[0, 0, 1],
])
np.testing.assert_allclose(calculated_matrix, expected_matrix, rtol=1e-5, atol=1e-7)
def test_constructor(self):
n_ori = st.Node("N1")
n_end = st.Node("N2", position=(1, 2, 3))
bar = st.Bar("B1", n_ori, n_end)
self.assertEqual(bar.name, "B1")
self.assertEqual(bar.origin, n_ori)
self.assertEqual(bar.end, n_end)
self.assertIsInstance(bar.material, st.Material)
self.assertRaises(TypeError, st.Bar, "name", n_ori, (0, 0, 0))
self.assertRaises(TypeError, st.Bar, "name", (0, 0, 0), n_end)
self.assertRaises(TypeError, st.Bar, 3, n_ori, n_end)
self.assertRaises(ValueError, st.Bar, "name", n_ori, n_ori)
self.assertRaises(TypeError, st.Bar, "name", n_ori, n_end, material=2)
def test_set_name(self):
node = st.Node("N1")
node.set_name("node")
self.assertEqual("node", node.name)
self.assertRaises(TypeError, node.set_name, 0)
def test_set_force(self):
node = st.Node("N1", force=(1, 1, 1))
node.set_force((2, 2, 2))
np.testing.assert_array_equal(node.force, (2, 2, 2))
self.assertRaises(TypeError, node.set_force, 0)
self.assertRaises(TypeError, node.set_force, [0, 0, 0])
def test_global_rigidity_matrix_2d_rigid_nodes(self):
n_ori = st.Node("N1")
n_end = st.Node("N2", position=(0, 4.2, 0))
bar = st.Bar("B1", n_ori, n_end)
calculated_matrix = bar.global_rigidity_matrix_2d_rigid_nodes()
expected_matrix = np.array([
[2787223.38, 0, -5853169.10, -2787223.38, 0, -5853169.10],
[0, 263798885, 0, 0, -263798885, 0],
[-5853169.1, 0, 16388873.48, 5853169.10, 0, 8194436.74],
[-2787223.38, 0, 5853169.10, 2787223.38, 0, 5853169.10],
[0, -263798885, 0, 0, 263798885, 0],
[-5853169.1, 0, 8194436.74, 5853169.10, 0, 16388873.48],
])
np.testing.assert_allclose(calculated_matrix, expected_matrix, rtol=1e-6, atol=1)
def test_set_support(self):
node = st.Node("N1", momentum=(1, 1, 1))
self.assertEqual(node.support, st.Support.NONE)
node.set_support(st.Support.FIXED)
self.assertEqual(node.support, st.Support.FIXED)
self.assertRaises(TypeError, node.set_support, 0)
self.assertRaises(TypeError, node.set_support, [0, 0, 0])
def test_set_momentum(self):
node = st.Node("N1", momentum=(1, 1, 1))
node.set_momentum((2, 2, 2))
np.testing.assert_array_equal(node.momentum, (2, 2, 2))
self.assertRaises(TypeError, node.set_momentum, 0)
self.assertRaises(TypeError, node.set_momentum, [0, 0, 0])
def test_set_position(self):
node = st.Node("N1", position=(1, 1, 1))
node.set_position((2, 2, 2))
np.testing.assert_array_equal(node.position, (2, 2, 2))
self.assertRaises(TypeError, node.set_position, 0)
self.assertRaises(TypeError, node.set_position, [0, 0, 0])
def test_constructor(self):
node = st.Node("N1", position=(1, 2, 3), force=(4, 5, 6), momentum=(7, 8, 9), support=st.Support.NONE)
self.assertEqual(node.name, "N1")
np.testing.assert_array_equal(node.position, np.array((1, 2, 3)))
np.testing.assert_array_equal(node.force, np.array((4, 5, 6)))
np.testing.assert_array_equal(node.momentum, np.array((7, 8, 9)))
self.assertEqual(node.support, st.Support.NONE)
self.assertRaises(TypeError, st.Node, 3)
self.assertRaises(TypeError, st.Node, "N1", position=[1, 2, 3])
self.assertRaises(TypeError, st.Node, "N1", force=[1, 2, 3])
self.assertRaises(TypeError, st.Node, "N1", momentum=[1, 2, 3])
def test_assembled_matrix(self):
n1 = st.Node("N1", position=(0, 0, 0), support=st.Support.PINNED)
n2 = st.Node("N2", position=(0, 4.2, 0))
n3 = st.Node("N3", position=(6.8, 5.25, 0))
n4 = st.Node("N4", position=(13.6, 4.2, 0))
n5 = st.Node("N5", position=(17.2, 3.644117647, 0))
n6 = st.Node("N6", position=(13.6, 0, 0), support=st.Support.PINNED)
b1 = st.Bar("B1", n1, n2)
b2 = st.Bar("B2", n2, n3)
b3 = st.Bar("B3", n3, n4)
b4 = st.Bar("B4", n4, n5)
b5 = st.Bar("B5", n4, n6)
bars = {
b1.name: b1,
b2.name: b2,
b3.name: b3,
b4.name: b4,
b5.name: b5
}
structure = st.Structure("S1", bars)
calculated_matrix = structure.assembled_matrix()
expected_matrix = 10000 * np.array([
[278, 0, -585, -278, 0, -585, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 26379, 0, 0, -26379, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[-585, 0, 1638, 585, 0, 819, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[-278, 0, 585, 16007, 2418, 552, -15729, -2428, -33, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, -26379, 0, 2418, 26816, 215, -2418, -436, 215, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[-585, 0, 819, 552, 215, 2639, 33, -215, 500, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, -15729, -2418, 33, 31458, 0, 66, -15729, 2418, 33, 0, 0, 0, 0, 0, 0],
[0, 0, 0, -2418, -436, -215, 0, 873, 0, 2418, -436, 215, 0, 0, 0, 0, 0, 0],
[0, 0, 0, -33, 215, 500, 66, 0, 2000, -33, -215, 500, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, -15729, 2418, -33, 45725, -6941, 670, -29717, 4522, 118, -278, 0, 585],
[0, 0, 0, 0, 0, 0, 2418, -436, -215, -6941, 27942, 553, 4522, -1125, 769, 0, -26379, 0],
[0, 0, 0, 0, 0, 0, 33, 215, 500, 670, 553, 4528, -118, -769, 944, -585, 0, 819],
[0, 0, 0, 0, 0, 0, 0, 0, 0, -29717, 4522, -118, 29717, -4522, -118, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 4522, -1125, -769, -4522, 1125, -769, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 118, 769, 944, -118, -769, 1889, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, -278, 0, -585, 0, 0, 0, 278, 0, -585],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -26379, 0, 0, 0, 0, 0, 26379, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 585, 0, 819, 0, 0, 0, -585, 0, 1638]
])
np.testing.assert_allclose(calculated_matrix, expected_matrix, atol=90300)
def test_angle_from_global_to_local(self):
n1 = st.Node("N1", position=(0, 0, 0), support=st.Support.PINNED)
n2 = st.Node("N2", position=(0, 4.2, 0))
n3 = st.Node("N3", position=(6.8, 5.25, 0))
n4 = st.Node("N4", position=(13.6, 4.2, 0))
n5 = st.Node("N5", position=(17.2, 3.5, 0))
n6 = st.Node("N6", position=(13.6, 0, 0), support=st.Support.PINNED)
b1 = st.Bar("B1", n1, n2)
b2 = st.Bar("B2", n2, n3)
b3 = st.Bar("B3", n3, n4)
b4 = st.Bar("B4", n4, n5)
b5 = st.Bar("B5", n4, n6)
b1 = st.Bar("B1", n1, n2)
np.testing.assert_equal(b1._angle_from_global_to_local(), np.pi / 2)
np.testing.assert_almost_equal(b2._angle_from_global_to_local(), math.radians(8.778), 3)
np.testing.assert_almost_equal(b3._angle_from_global_to_local(), math.radians(351.222), 3)
# Differs in 0.03 radians due to trigonometry used to calculate node position
np.testing.assert_almost_equal(b4._angle_from_global_to_local(), math.radians(351.222), 0)
np.testing.assert_equal(b5._angle_from_global_to_local(), math.radians(270))
def test_z(self):
node = st.Node("N1", position=(1, 2, 3))
self.assertEqual(3, node.z())
node.set_position((2, 2, 2))
self.assertEqual(2, node.z())