Mixed cantilever beam function

\[\delta = f( \tilde{I}, L,S) = \frac{F}{3E} \frac{L^3}{S^2\tilde{I}},\]

\(L\in [10,20], \quad S\in[1,2], \quad \tilde{I} \in \{1,2,3,4,5,6,7,8,9,10,11,12\}.\)

Usage

import matplotlib.pyplot as plt

from smt.problems import MixedCantileverBeam

problem = MixedCantileverBeam()

n_doe = 100
xdoe = problem.sample(n_doe)
y = problem(xdoe)

plt.scatter(xdoe[:, 0], y)
plt.xlabel("x")
plt.ylabel("y")
plt.show()

Options

List of options

Option	Default	Acceptable values	Acceptable types	Description
ndim	3	None	[‘int’]
return_complex	False	None	[‘bool’]
name	CantileverBeam	None	[‘str’]
P	50000.0	None	[‘int’, ‘float’]	Tip load (50 kN)
E	200000000000.0	None	[‘int’, ‘float’]	Modulus of elast. (200 GPa)