Esempio n. 1
0
def moving_truss_cp_square(n_steps = 40):

    cp = CreasePattern(n_steps = n_steps)

    cp.nodes = [[ 0, 2, 0 ],
                [ 0, 0, 0 ]]

    cp.crease_lines = [[ 0, 1 ]]

    face_z_0 = FF(Rf = z_ - 0)
    face_x_0 = FF(Rf = x_ - 0)
#    face_xy_135 = FF(Rf = x_ + y_ - 1.0)
#    face_xy_round = FF(Rf = x_**2 + (y_)**2 - 1.0)
#    face_x_1_t = FF(Rf = x_ - 1.0 + 1.99 * t_)
#    argument =  2*3.14159*t_   
#    face_x_1_t = FF(Rf = y_ + 3 + sp.sin(argument))
    face_x_1_t = FF(Rf = y_ - 1.0 * (t_ - 1) * sp.Heaviside(t_ - 1) 
                    + 1.0 * (t_ - 3) * sp.Heaviside(t_ - 3) 
                    + 1.0 * (t_ - 5) * sp.Heaviside(t_ - 5) 
                    - 1.0 * (t_ - 7) * sp.Heaviside(t_ - 7))
    
    face_y_1_t = FF(Rf = x_ + 1.0 * t_ * sp.Heaviside(t_) 
                    - 1.0 * (t_ - 1) * sp.Heaviside(t_ - 1) 
                    - 1.0 * (t_ - 3) * sp.Heaviside(t_ - 3) 
                    + 1.0 * (t_ - 5) * sp.Heaviside(t_ - 5)
                    + 1.0 * (t_ - 7) * sp.Heaviside(t_ - 7) 
                    - 1.0 * (t_ - 8) * sp.Heaviside(t_ - 8))
# +3.14159/2.0    
#    face_x_1_t = FF(Rf = y_ - 1.99 * t_)
    cp.cnstr_lst = [(face_z_0, [0, 1]),
                    (face_x_0, [0]),
                    (face_x_1_t, [1]),
                    (face_y_1_t, [1])]

    X = np.zeros((cp.n_dofs,), dtype = float)
#    X[1] = 0.01
#    X[0] = 0.01


    print 'initial lengths\n', cp.c_lengths
    print 'initial vectors\n', cp.c_vectors

    print 'initial R\n', cp.get_R(X)
    print 'initial dR\n', cp.get_dR(X)

    X = cp.solve_ff(X)

    print '========== results =============='
    print 'solution X\n', X
    print 'final positions\n', cp.get_new_nodes(X)
    print 'final vectors\n', cp.get_new_vectors(X)
    print 'final lengths\n', cp.get_new_lengths(X)

    return cp
Esempio n. 2
0
def triangle_cp_cnstr(n_steps = 10, dx = -1.99):

    cp = CreasePattern(n_steps = n_steps)

    cp.nodes = [[ 0, 0, 0 ],
                [ 1, 0, 0 ],
                [ 1, 1, 0]]

    cp.crease_lines = [[ 0, 1 ],
                       [ 1, 2 ],
                       [ 2, 0 ]]
    
    cp.facets = [[0, 1, 2 ]]

    cp.grab_pts = [(0.5,0.5,0),0]
    cp.cnstr_lhs = [
                    [(0, 0, 1.0)],
                    [(0, 1, 1.0)],
                    [(0, 2, 1.0)],
                    [(1, 1, 1.0)],
                    [(1, 2, 1.0)],
                    [(2, 2, 1.0)],
                    ]

    cp.cnstr_rhs = [0.0, 0.0, 0.0, 0.0, 0.0, dx]

    X = np.zeros((cp.n_dofs,), dtype = float)
    X[1] = 0.01

    print 'T ', cp.grab_pts_L
    print 'initial lengths\n', cp.c_lengths
    print 'initial vectors\n', cp.c_vectors

    print 'initial R\n', cp.get_R(X)
    print 'initial dR\n', cp.get_dR(X)

    X = cp.solve(X)

    print '========== results =============='
    print 'solution X\n', X
    print 'final positions\n', cp.get_new_nodes(X)
    print 'final vectors\n', cp.get_new_vectors(X)
    print 'final lengths\n', cp.get_new_lengths(X)

    return cp
Esempio n. 3
0
def moving_truss_cp_ff_cnstr(n_steps = 10, dx = -1.99):

    cp = CreasePattern(n_steps = n_steps)

    cp.nodes = [[ 0, 0, 0 ],
                [ 1, 0, 0 ]]

    cp.crease_lines = [[ 0, 1 ]]

    face_z_0 = FF(Rf = z_ - 0)
    face_x_0 = FF(Rf = x_ - 0)
    face_x_1_t = FF(Rf = x_ - 1.0 + 1.99 * t_)
    cp.cnstr_lst = [(face_z_0, [0, 1]),
                    (face_x_0, [0]),
                    (face_x_1_t, [1])]

    cp.cnstr_lhs = [
                    [(1, 0, 1.0), (1, 1, 1.0)],
                    ]

    cp.cnstr_rhs = [0]

    X = np.zeros((cp.n_dofs,), dtype = float)
    X[1] = 0.01

    print 'initial lengths\n', cp.c_lengths
    print 'initial vectors\n', cp.c_vectors

    print 'initial R\n', cp.get_R(X)
    print 'initial dR\n', cp.get_dR(X)

    X = cp.solve_ff(X)

    print '========== results =============='
    print 'solution X\n', X
    print 'final positions\n', cp.get_new_nodes(X)
    print 'final vectors\n', cp.get_new_vectors(X)
    print 'final lengths\n', cp.get_new_lengths(X)

    return cp