本文整理汇总了Python中sympy.physics.continuum_mechanics.beam.Beam.deflection方法的典型用法代码示例。如果您正苦于以下问题：Python Beam.deflection方法的具体用法？Python Beam.deflection怎么用？Python Beam.deflection使用的例子？那么恭喜您, 这里精选的方法代码示例或许可以为您提供帮助。您也可以进一步了解该方法所在类sympy.physics.continuum_mechanics.beam.Beam的用法示例。
在下文中一共展示了Beam.deflection方法的7个代码示例，这些例子默认根据受欢迎程度排序。您可以为喜欢或者感觉有用的代码点赞，您的评价将有助于系统推荐出更棒的Python代码示例。
示例1: test_apply_support
# 需要导入模块: from sympy.physics.continuum_mechanics.beam import Beam [as 别名]
# 或者: from sympy.physics.continuum_mechanics.beam.Beam import deflection [as 别名]
def test_apply_support():
E = Symbol('E')
I = Symbol('I')
b = Beam(4, E, I)
b.apply_support(0, "cantilever")
b.apply_load(20, 4, -1)
M_0, R_0 = symbols('M_0, R_0')
b.solve_for_reaction_loads(R_0, M_0)
assert b.slope() == (80*SingularityFunction(x, 0, 1) - 10*SingularityFunction(x, 0, 2)
+ 10*SingularityFunction(x, 4, 2))/(E*I)
assert b.deflection() == (40*SingularityFunction(x, 0, 2) - 10*SingularityFunction(x, 0, 3)/3
+ 10*SingularityFunction(x, 4, 3)/3)/(E*I)
b = Beam(30, E, I)
b.apply_support(10, "pin")
b.apply_support(30, "roller")
b.apply_load(-8, 0, -1)
b.apply_load(120, 30, -2)
R_10, R_30 = symbols('R_10, R_30')
b.solve_for_reaction_loads(R_10, R_30)
assert b.slope() == (-4*SingularityFunction(x, 0, 2) + 3*SingularityFunction(x, 10, 2)
+ 120*SingularityFunction(x, 30, 1) + SingularityFunction(x, 30, 2) + 4000/3)/(E*I)
assert b.deflection() == (4000*x/3 - 4*SingularityFunction(x, 0, 3)/3 + SingularityFunction(x, 10, 3)
+ 60*SingularityFunction(x, 30, 2) + SingularityFunction(x, 30, 3)/3 - 12000)/(E*I)示例2: test_apply_support
# 需要导入模块: from sympy.physics.continuum_mechanics.beam import Beam [as 别名]
# 或者: from sympy.physics.continuum_mechanics.beam.Beam import deflection [as 别名]
def test_apply_support():
E = Symbol('E')
I = Symbol('I')
b = Beam(4, E, I)
b.apply_support(0, "cantilever")
b.apply_load(20, 4, -1)
M_0, R_0 = symbols('M_0, R_0')
b.solve_for_reaction_loads(R_0, M_0)
assert b.slope() == (80*SingularityFunction(x, 0, 1) - 10*SingularityFunction(x, 0, 2)
+ 10*SingularityFunction(x, 4, 2))/(E*I)
assert b.deflection() == (40*SingularityFunction(x, 0, 2) - 10*SingularityFunction(x, 0, 3)/3
+ 10*SingularityFunction(x, 4, 3)/3)/(E*I)
b = Beam(30, E, I)
b.apply_support(10, "pin")
b.apply_support(30, "roller")
b.apply_load(-8, 0, -1)
b.apply_load(120, 30, -2)
R_10, R_30 = symbols('R_10, R_30')
b.solve_for_reaction_loads(R_10, R_30)
assert b.slope() == (-4*SingularityFunction(x, 0, 2) + 3*SingularityFunction(x, 10, 2)
+ 120*SingularityFunction(x, 30, 1) + SingularityFunction(x, 30, 2) + S(4000)/3)/(E*I)
assert b.deflection() == (4000*x/3 - 4*SingularityFunction(x, 0, 3)/3 + SingularityFunction(x, 10, 3)
+ 60*SingularityFunction(x, 30, 2) + SingularityFunction(x, 30, 3)/3 - 12000)/(E*I)
P = Symbol('P', positive=True)
L = Symbol('L', positive=True)
b = Beam(L, E, I)
b.apply_support(0, type='fixed')
b.apply_support(L, type='fixed')
b.apply_load(-P, L/2, -1)
R_0, R_L, M_0, M_L = symbols('R_0, R_L, M_0, M_L')
b.solve_for_reaction_loads(R_0, R_L, M_0, M_L)
assert b.reaction_loads == {R_0: P/2, R_L: P/2, M_0: -L*P/8, M_L: L*P/8}示例3: test_insufficient_bconditions
# 需要导入模块: from sympy.physics.continuum_mechanics.beam import Beam [as 别名]
# 或者: from sympy.physics.continuum_mechanics.beam.Beam import deflection [as 别名]
def test_insufficient_bconditions():
# Test cases when required number of boundary conditions
# are not provided to solve the integration constants.
L = symbols('L', positive=True)
E, I, P, a3, a4 = symbols('E I P a3 a4')
b = Beam(L, E, I, base_char='a')
b.apply_load(R2, L, -1)
b.apply_load(R1, 0, -1)
b.apply_load(-P, L/2, -1)
b.solve_for_reaction_loads(R1, R2)
p = b.slope()
q = P*SingularityFunction(x, 0, 2)/4 - P*SingularityFunction(x, L/2, 2)/2 + P*SingularityFunction(x, L, 2)/4
assert p == q/(E*I) + a3
p = b.deflection()
q = P*SingularityFunction(x, 0, 3)/12 - P*SingularityFunction(x, L/2, 3)/6 + P*SingularityFunction(x, L, 3)/12
assert p == q/(E*I) + a3*x + a4
b.bc_deflection = [(0, 0)]
p = b.deflection()
q = a3*x + P*SingularityFunction(x, 0, 3)/12 - P*SingularityFunction(x, L/2, 3)/6 + P*SingularityFunction(x, L, 3)/12
assert p == q/(E*I)
b.bc_deflection = [(0, 0), (L, 0)]
p = b.deflection()
q = -L**2*P*x/16 + P*SingularityFunction(x, 0, 3)/12 - P*SingularityFunction(x, L/2, 3)/6 + P*SingularityFunction(x, L, 3)/12
assert p == q/(E*I)示例4: test_variable_moment
# 需要导入模块: from sympy.physics.continuum_mechanics.beam import Beam [as 别名]
# 或者: from sympy.physics.continuum_mechanics.beam.Beam import deflection [as 别名]
def test_variable_moment():
E = Symbol('E')
I = Symbol('I')
b = Beam(4, E, 2*(4 - x))
b.apply_load(20, 4, -1)
R, M = symbols('R, M')
b.apply_load(R, 0, -1)
b.apply_load(M, 0, -2)
b.bc_deflection = [(0, 0)]
b.bc_slope = [(0, 0)]
b.solve_for_reaction_loads(R, M)
assert b.slope().expand() == ((10*x*SingularityFunction(x, 0, 0)
- 10*(x - 4)*SingularityFunction(x, 4, 0))/E).expand()
assert b.deflection().expand() == ((5*x**2*SingularityFunction(x, 0, 0)
- 10*Piecewise((0, Abs(x)/4 < 1), (16*meijerg(((3, 1), ()), ((), (2, 0)), x/4), True))
+ 40*SingularityFunction(x, 4, 1))/E).expand()
b = Beam(4, E - x, I)
b.apply_load(20, 4, -1)
R, M = symbols('R, M')
b.apply_load(R, 0, -1)
b.apply_load(M, 0, -2)
b.bc_deflection = [(0, 0)]
b.bc_slope = [(0, 0)]
b.solve_for_reaction_loads(R, M)
assert b.slope().expand() == ((-80*(-log(-E) + log(-E + x))*SingularityFunction(x, 0, 0)
+ 80*(-log(-E + 4) + log(-E + x))*SingularityFunction(x, 4, 0) + 20*(-E*log(-E)
+ E*log(-E + x) + x)*SingularityFunction(x, 0, 0) - 20*(-E*log(-E + 4) + E*log(-E + x)
+ x - 4)*SingularityFunction(x, 4, 0))/I).expand()示例5: test_beam_units
# 需要导入模块: from sympy.physics.continuum_mechanics.beam import Beam [as 别名]
# 或者: from sympy.physics.continuum_mechanics.beam.Beam import deflection [as 别名]
def test_beam_units():
E = Symbol('E')
I = Symbol('I')
R1, R2 = symbols('R1, R2')
b = Beam(8*meter, 200*giga*newton/meter**2, 400*1000000*(milli*meter)**4)
b.apply_load(5*kilo*newton, 2*meter, -1)
b.apply_load(R1, 0*meter, -1)
b.apply_load(R2, 8*meter, -1)
b.apply_load(10*kilo*newton/meter, 4*meter, 0, end=8*meter)
b.bc_deflection = [(0*meter, 0*meter), (8*meter, 0*meter)]
b.solve_for_reaction_loads(R1, R2)
assert b.reaction_loads == {R1: -13750*newton, R2: -31250*newton}
b = Beam(3*meter, E*newton/meter**2, I*meter**4)
b.apply_load(8*kilo*newton, 1*meter, -1)
b.apply_load(R1, 0*meter, -1)
b.apply_load(R2, 3*meter, -1)
b.apply_load(12*kilo*newton*meter, 2*meter, -2)
b.bc_deflection = [(0*meter, 0*meter), (3*meter, 0*meter)]
b.solve_for_reaction_loads(R1, R2)
assert b.reaction_loads == {R1: -28000*newton/3, R2: 4000*newton/3}
assert b.deflection().subs(x, 1*meter) == 62000*meter/(9*E*I)示例6: test_Beam
# 需要导入模块: from sympy.physics.continuum_mechanics.beam import Beam [as 别名]
# 或者: from sympy.physics.continuum_mechanics.beam.Beam import deflection [as 别名]
def test_Beam():
E = Symbol("E")
E_1 = Symbol("E_1")
I = Symbol("I")
I_1 = Symbol("I_1")
b = Beam(1, E, I)
assert b.length == 1
assert b.elastic_modulus == E
assert b.second_moment == I
assert b.variable == x
# Test the length setter
b.length = 4
assert b.length == 4
# Test the E setter
b.elastic_modulus = E_1
assert b.elastic_modulus == E_1
# Test the I setter
b.second_moment = I_1
assert b.second_moment is I_1
# Test the variable setter
b.variable = y
assert b.variable is y
# Test for all boundary conditions.
b.bc_deflection = [(0, 2)]
b.bc_slope = [(0, 1)]
assert b.boundary_conditions == {"deflection": [(0, 2)], "slope": [(0, 1)]}
# Test for slope boundary condition method
b.bc_slope.extend([(4, 3), (5, 0)])
s_bcs = b.bc_slope
assert s_bcs == [(0, 1), (4, 3), (5, 0)]
# Test for deflection boundary condition method
b.bc_deflection.extend([(4, 3), (5, 0)])
d_bcs = b.bc_deflection
assert d_bcs == [(0, 2), (4, 3), (5, 0)]
# Test for updated boundary conditions
bcs_new = b.boundary_conditions
assert bcs_new == {"deflection": [(0, 2), (4, 3), (5, 0)], "slope": [(0, 1), (4, 3), (5, 0)]}
b1 = Beam(30, E, I)
b1.apply_load(-8, 0, -1)
b1.apply_load(R1, 10, -1)
b1.apply_load(R2, 30, -1)
b1.apply_load(120, 30, -2)
b1.bc_deflection = [(10, 0), (30, 0)]
b1.solve_for_reaction_loads(R1, R2)
# Test for finding reaction forces
p = b1.reaction_loads
q = {R1: 6, R2: 2}
assert p == q
# Test for load distribution function.
p = b1.load
q = (
-8 * SingularityFunction(x, 0, -1)
+ 6 * SingularityFunction(x, 10, -1)
+ 120 * SingularityFunction(x, 30, -2)
+ 2 * SingularityFunction(x, 30, -1)
)
assert p == q
# Test for shear force distribution function
p = b1.shear_force()
q = (
-8 * SingularityFunction(x, 0, 0)
+ 6 * SingularityFunction(x, 10, 0)
+ 120 * SingularityFunction(x, 30, -1)
+ 2 * SingularityFunction(x, 30, 0)
)
assert p == q
# Test for bending moment distribution function
p = b1.bending_moment()
q = (
-8 * SingularityFunction(x, 0, 1)
+ 6 * SingularityFunction(x, 10, 1)
+ 120 * SingularityFunction(x, 30, 0)
+ 2 * SingularityFunction(x, 30, 1)
)
assert p == q
# Test for slope distribution function
p = b1.slope()
q = (
-4 * SingularityFunction(x, 0, 2)
+ 3 * SingularityFunction(x, 10, 2)
+ 120 * SingularityFunction(x, 30, 1)
+ SingularityFunction(x, 30, 2)
+ 4000 / 3
)
assert p == q / (E * I)
#.........这里部分代码省略.........
示例7: test_Beam
# 需要导入模块: from sympy.physics.continuum_mechanics.beam import Beam [as 别名]
# 或者: from sympy.physics.continuum_mechanics.beam.Beam import deflection [as 别名]
def test_Beam():
E = Symbol('E')
E_1 = Symbol('E_1')
I = Symbol('I')
I_1 = Symbol('I_1')
b = Beam(1, E, I)
assert b.length == 1
assert b.elastic_modulus == E
assert b.second_moment == I
assert b.variable == x
# Test the length setter
b.length = 4
assert b.length == 4
# Test the E setter
b.elastic_modulus = E_1
assert b.elastic_modulus == E_1
# Test the I setter
b.second_moment = I_1
assert b.second_moment is I_1
# Test the variable setter
b.variable = y
assert b.variable is y
# Test for all boundary conditions.
b.bc_deflection = [(0, 2)]
b.bc_slope = [(0, 1)]
assert b.boundary_conditions == {'deflection': [(0, 2)], 'slope': [(0, 1)]}
# Test for slope boundary condition method
b.bc_slope.extend([(4, 3), (5, 0)])
s_bcs = b.bc_slope
assert s_bcs == [(0, 1), (4, 3), (5, 0)]
# Test for deflection boundary condition method
b.bc_deflection.extend([(4, 3), (5, 0)])
d_bcs = b.bc_deflection
assert d_bcs == [(0, 2), (4, 3), (5, 0)]
# Test for updated boundary conditions
bcs_new = b.boundary_conditions
assert bcs_new == {
'deflection': [(0, 2), (4, 3), (5, 0)],
'slope': [(0, 1), (4, 3), (5, 0)]}
b1 = Beam(30, E, I)
b1.apply_load(-8, 0, -1)
b1.apply_load(R1, 10, -1)
b1.apply_load(R2, 30, -1)
b1.apply_load(120, 30, -2)
b1.bc_deflection = [(10, 0), (30, 0)]
b1.solve_for_reaction_loads(R1, R2)
# Test for finding reaction forces
p = b1.reaction_loads
q = {R1: 6, R2: 2}
assert p == q
# Test for load distribution function.
p = b1.load
q = -8*SingularityFunction(x, 0, -1) + 6*SingularityFunction(x, 10, -1) + 120*SingularityFunction(x, 30, -2) + 2*SingularityFunction(x, 30, -1)
assert p == q
# Test for shear force distribution function
p = b1.shear_force()
q = -8*SingularityFunction(x, 0, 0) + 6*SingularityFunction(x, 10, 0) + 120*SingularityFunction(x, 30, -1) + 2*SingularityFunction(x, 30, 0)
assert p == q
# Test for bending moment distribution function
p = b1.bending_moment()
q = -8*SingularityFunction(x, 0, 1) + 6*SingularityFunction(x, 10, 1) + 120*SingularityFunction(x, 30, 0) + 2*SingularityFunction(x, 30, 1)
assert p == q
# Test for slope distribution function
p = b1.slope()
q = -4*SingularityFunction(x, 0, 2) + 3*SingularityFunction(x, 10, 2) + 120*SingularityFunction(x, 30, 1) + SingularityFunction(x, 30, 2) + S(4000)/3
assert p == q/(E*I)
# Test for deflection distribution function
p = b1.deflection()
q = 4000*x/3 - 4*SingularityFunction(x, 0, 3)/3 + SingularityFunction(x, 10, 3) + 60*SingularityFunction(x, 30, 2) + SingularityFunction(x, 30, 3)/3 - 12000
assert p == q/(E*I)
# Test using symbols
l = Symbol('l')
w0 = Symbol('w0')
w2 = Symbol('w2')
a1 = Symbol('a1')
c = Symbol('c')
c1 = Symbol('c1')
d = Symbol('d')
e = Symbol('e')
f = Symbol('f')
b2 = Beam(l, E, I)
b2.apply_load(w0, a1, 1)
#.........这里部分代码省略.........