Behavior of Flexible Pintles for Miter Gates

Data Availability Statement

Notation

e

rocking pintle pivot point eccentricity (m);

F_G

force due to gravity (MN);

F_quoin

horizontal pintle force in quoin normal direction (MN);

H

height of miter gate (m);

h

element length corresponding to finite-element discretization (m);

h_C

coarse finite-element discretization (m);

h_F

fine finite-element discretization (m);

h_M

medium finite-element discretization (m);

h_shell

shell finite-element length (m);

p

order of convergence;

R_quoin

horizontal pintle reaction in quoin normal direction (MN);

R_x−1

gudgeon horizontal reaction (MN);

R_x−2

pintle horizontal reaction (MN);

R_y

gudgeon vertical reaction (MN);

R_θ

pintle reaction in quoin normal direction at angle θ (MN);

R_θ+π/2

pintle reaction in quoin normal direction at angle θ + π/2 (MN);

R₁

radius of free pintle bushing circular contact area (m);

R₂

radius of free pintle ball circular contact area (m);

R₃

radius from rocking pintle ball to rocking plate (m);

R₄

radius from rocking pintle ball to pivot point (m);

r

ratio between successive finite-element discretization refinements;

U(h)

upper bound of solution error;

U_reference

upper bound of solution error relative to the reference solution;

w₁

radius of bushing cylindrical contact area (m);

w₂

radius of pintle ball cylindrical contact area (m);

y_reference

reference finite-element solution;

y(h)

finite-element solution given a discretization h;

α₀

rocking pintle initial angle between R₃ and R₄ (deg);

α₁

rocking pintle final angle between R₃ and R₄ (deg);

β

rocking pintle wedge cut-out angle (deg);

Δx_Elasto

elastomeric pintle horizontal displacement (m);

Δx_Free

free pintle horizontal displacement (m);

Δx_Rocking

rocking pintle horizontal displacement (m);

Δy_Elasto

elastomeric pintle vertical displacement (m);

Δy_Free

free pintle vertical displacement (m);

Δy_Rocking

rocking pintle displacement (m);

θ

angle at which bushing and pintle ball contact in a free pintle (deg);

θ₀

initial angle at which bushing and pintle ball contact in a free pintle (deg); and

θ₁

final angle at which bushing and pintle ball contact in a free pintle (deg).

References