def write(df, name):
fig, axes = plt.subplots(ncols=2, nrows=3, figsize=(20, 10))
draw_series_combined(df, name, axes[0, 0])
axes[0, 1].axis('off')
axes[0, 1].legend(*axes[0, 0].get_legend_handles_labels(),
loc='upper left',
ncol=2)
draw_series_seperate(df, axes[2, 0])
if df.centroid.notnull().any() and df.centroid.var() != 0:
distances = []
for c in df.columns[1:]:
distances.append(_sbd(df.centroid, df[c])[0])
draw_lag(df, axes[2, 1])
draw_sbd_bar_plot(distances, axes[1, 0])
draw_sbd_dist_plot(distances, axes[1, 1])
try:
plt.tight_layout()
plt.savefig(name, dpi=200)
plt.close("all")
except Exception as e:
import pdb
pdb.set_trace()
print("graph %s failed %s" % (name, e))
def compare_load_positions(c: Config):
"""Compare load positions (normal vs. buckets)."""
c.il_num_loads = 10
num_times = 1000
# Wagen 1 from the experimental campaign.
point = Point(x=c.bridge.x_max / 2, y=0, z=-8.4)
end_time = uni_axle_vehicle.time_left_bridge(bridge=c.bridge)
vehicle_times = list(np.linspace(0, end_time, num_times))
plt.portrait()
pw_loads = [
flatten(uni_axle_vehicle.to_point_load_pw(time=time, bridge=c.bridge),
PointLoad) for time in vehicle_times
]
pw_load_xs = [[c.bridge.x(l.x_frac) for l in pw_loads[time_ind]]
for time_ind in range(len(pw_loads))]
plt.subplot(3, 1, 1)
# for l in pw_load_xs:
# print(l)
plt.plot([l[0] for l in pw_load_xs])
plt.plot([l[1] for l in pw_load_xs])
wt_loads = [
flatten(uni_axle_vehicle.to_wheel_track_loads(c=c, time=time),
PointLoad) for time in vehicle_times
]
wt_load_xs = [[c.bridge.x(l.x_frac) for l in wt_loads[time_ind]]
for time_ind in range(len(wt_loads))]
plt.subplot(3, 1, 2)
plt.scatter(vehicle_times, [l[0] for l in wt_load_xs], label="0")
plt.scatter(vehicle_times, [l[1] for l in wt_load_xs], label="1")
plt.legend()
wt_load_kn = [[l.kn for l in wt_loads[time_ind]]
for time_ind in range(len(wt_loads))]
plt.subplot(3, 1, 3)
for l in wt_load_kn:
print(l)
plt.scatter(vehicle_times, [l[0] for l in wt_load_kn], label="0")
plt.scatter(vehicle_times, [l[1] for l in wt_load_kn], label="1")
plt.legend()
plt.tight_layout()
plt.savefig(c.get_image_path("verification", "compare-load-positions.pdf"))
plt.close()
def uls_contour_plot(c: Config, x_i: int, z_i: int,
response_type: ResponseType):
wheel_xs = c.bridge.wheel_track_xs(c)
wheel_x = wheel_xs[x_i]
wheel_zs = c.bridge.wheel_track_zs(c)
wheel_z = wheel_zs[z_i]
print_i(f"Wheel (x, z) = ({wheel_x}, {wheel_z})")
plt.landscape()
plt.subplot(2, 1, 1)
healthy = list(
ILMatrix.load_wheel_track(
c=c,
response_type=response_type,
fem_runner=OSRunner(c),
load_z_frac=c.bridge.z_frac(wheel_z),
run_only=False,
indices=[x_i],
))[0].resize()
top_view_bridge(bridge=c.bridge, compass=False, abutments=True, piers=True)
plot_contour_deck(c=c, responses=healthy, sci_format=True, decimals=6)
plt.title("Healthy")
c = transverse_crack().use(c)[0]
cracked = list(
ILMatrix.load_wheel_track(
c=c,
response_type=response_type,
fem_runner=OSRunner(c),
load_z_frac=c.bridge.z_frac(wheel_z),
run_only=False,
indices=[x_i],
))[0].resize()
plt.subplot(2, 1, 2)
top_view_bridge(bridge=c.bridge, compass=False, abutments=True, piers=True)
plot_contour_deck(c=c, responses=cracked, sci_format=True, decimals=6)
plt.title("Cracked")
plt.tight_layout()
plt.savefig(
c.get_image_path(
"verification",
safe_str(
f"uls-contour-x-{wheel_x}-z-{wheel_z}-{response_type.name()}")
+ ".pdf",
))
def matrix_subplots(
c: Config,
resp_matrix: ResponsesMatrix,
num_subplots: int,
num_x: int,
z_frac: float,
rows: int = 4,
save: str = None,
plot_func=None,
):
"""For each subplot plot matrix fem using the given function."""
cols = int(num_subplots / rows)
if cols != num_subplots / rows:
print_w(f"Rows don't divide number of simulations, cols = {cols}" +
f", sims = {num_subplots / rows}" +
f", num_subplots = {num_subplots}, rows = {rows}")
cols += 1
y_min, y_max = 0, 0
# Plot each IL and bridge deck side.
for i, response_frac in enumerate(np.linspace(0, 1, rows * cols)):
plt.subplot(rows, cols, i + 1)
plot_bridge_deck_side(c.bridge, show=False, equal_axis=False)
rs = plot_func(c,
resp_matrix,
i,
response_frac,
z_frac=z_frac,
num_x=num_x)
plt.axvline(x=c.bridge.x(x_frac=response_frac), color="red")
# Keep track of min and max on y axis (only when non-zero fem).
if any(rs):
_y_min, _y_max = plt.gca().get_ylim()
y_min, y_max = min(y_min, _y_min), max(y_max, _y_max)
# Ensure y_min == -y_max.
y_min = min(y_min, -y_max)
y_max = max(-y_min, y_max)
for i, _ in enumerate(np.linspace(0, 1, rows * cols)):
plt.subplot(rows, cols, i + 1)
plt.ylim(y_min, y_max)
plt.tight_layout()
if save:
plt.savefig(save)
plt.close()
def plot_f(time_index):
# Top plot of the moving vehicles.
plt.subplot2grid((3, 1), (0, 0), 2, 1)
plt.title(f"{response_type.name()} on {bridge.name} {traffic_name}")
top_view_bridge(bridge, lane_fill=False)
top_view_vehicles(
bridge=bridge,
mv_vehicles=traffic[time_index],
all_vehicles=all_vehicles,
time=time_index * time_step + start_time,
)
contour_cmap = plot_contour_deck(
c=c,
responses=traffic_responses[time_index],
y=0,
norm=response_norm,
)
plt.xlim((bridge.x_min, bridge.x_max))
# Bottom plot of the total load on the bridge.
plt.subplot2grid((3, 1), (2, 0), 1, 1)
plt.plot(times, total_kn)
plt.xlabel("time")
plt.ylabel("kilo Newton")
plt.axvline(x=start_time + time_index * time_step, color="red")
plt.tight_layout()
# Add a color bar.
plt.gcf().subplots_adjust(right=0.75)
cbar_ax = plt.gcf().add_axes([0.80, 0.1, 0.01, 0.8])
cbar = plt.gcf().colorbar(
cm.ScalarMappable(norm=response_norm, cmap=contour_cmap),
cax=cbar_ax,
)
cbar.set_label(response_type.units(short=False))
def top_view_plot(c: Config, max_time: int, skip: int, damage_scenario):
response_type = ResponseType.YTranslation
# Create the traffic.
traffic_scenario = normal_traffic(c=c, lam=5, min_d=2)
traffic_sequence, traffic, traffic_array = load_traffic(
c=c,
traffic_scenario=traffic_scenario,
max_time=max_time,
)
assert len(traffic) == traffic_array.shape[0]
# Points on the deck to collect fem.
deck_points = [
Point(x=x, y=0, z=z) for x in np.linspace(
c.bridge.x_min, c.bridge.x_max, num=int(c.bridge.length * 2))
for z in np.linspace(
c.bridge.z_min, c.bridge.z_max, num=int(c.bridge.width * 2))
# for x in np.linspace(c.bridge.x_min, c.bridge.x_max, num=30)
# for z in np.linspace(c.bridge.z_min, c.bridge.z_max, num=10)
]
point = Point(x=21, y=0, z=-8.4) # Point to plot
deck_points.append(point)
# Traffic array to fem array.
responses_array = responses_to_traffic_array(
c=c,
traffic_array=traffic_array,
damage_scenario=damage_scenario,
points=deck_points,
response_type=response_type,
)
# Temperature effect July 1st.
temps_2019 = temperature.load("holly-springs")
temps_2019["temp"] = temperature.resize(temps_2019["temp"])
effect_2019 = temperature.effect(
c=c,
response_type=response_type,
points=deck_points,
temps=temps_2019["temp"],
solar=temps_2019["solar"],
len_per_hour=60,
).T
# The effect is ordered by time series and then by points. (104910, 301)
assert len(effect_2019) == len(temps_2019)
july_2019_i, july_2019_j = temperature.from_to_indices(
temps_2019,
datetime.fromisoformat(f"2019-10-01T00:00"),
datetime.fromisoformat(f"2019-10-01T23:59"),
)
temp_effect = []
for i in range(len(deck_points)):
temp_effect.append(
temperature.apply(
# Effect for July 1st, for the current point..
effect=effect_2019.T[i][july_2019_i:july_2019_j],
# ..for the length of the time series.
responses=responses_array,
))
temp_effect = np.array(temp_effect)
plt.subplot(2, 1, 1)
plt.plot(effect_2019.T[-1])
plt.subplot(2, 1, 2)
plt.plot(temp_effect[-1])
plt.show()
# Determine response due to pier settlement.
pd_response_at_point = 0
if isinstance(damage_scenario, PierDispDamage):
pd_expt = list(
DCMatrix.load(c=c,
response_type=response_type,
fem_runner=OSRunner(c)))
for pier_displacement in damage_scenario.pier_disps:
pd_sim_responses = pd_expt[pier_displacement.pier]
pd_response_at_point += pd_sim_responses.at_deck(
point, interp=False) * (pier_displacement.displacement /
c.pd_unit_disp)
# Resize fem if applicable to response type.
resize_f, units = resize_units(response_type.units())
if resize_f is not None:
responses_array = resize_f(responses_array)
temp_effect = resize_f(temp_effect.T).T
print(np.mean(temp_effect[-1]))
pd_response_at_point = resize_f(pd_response_at_point)
responses_w_temp = responses_array + temp_effect.T
# Determine levels of the colourbar.
amin, amax = np.amin(responses_array), np.amax(responses_array)
# amin, amax = min(amin, -amax), max(-amin, amax)
levels = np.linspace(amin, amax, 25)
# All vehicles, for colour reference.
all_vehicles = flatten(traffic, Vehicle)
# Iterate through each time index and plot results.
warmed_up_at = traffic_sequence[0][0].time_left_bridge(c.bridge)
# Plot for each time step.
for t_ind in range(len(responses_array))[::skip]:
plt.landscape()
# Plot the bridge top view.
plt.subplot2grid((3, 1), (0, 0), rowspan=2)
top_view_bridge(c.bridge, compass=False, lane_fill=False, piers=True)
top_view_vehicles(
bridge=c.bridge,
mv_vehicles=flatten(traffic[t_ind], Vehicle),
time=warmed_up_at + t_ind * c.sensor_hz,
all_vehicles=all_vehicles,
)
responses = Responses(
response_type=response_type,
responses=[(responses_array[t_ind][p_ind], deck_points[p_ind])
for p_ind in range(len(deck_points))],
units=units,
)
plot_contour_deck(c=c,
responses=responses,
levels=levels,
mm_legend=False)
plt.scatter(
[point.x],
[point.z],
label=f"Sensor in bottom plot",
marker="o",
color="red",
zorder=10,
)
plt.legend(loc="upper right")
plt.title(
f"{response_type.name()} after {np.around(t_ind * c.sensor_hz, 4)} seconds"
)
# Plot the fem at a point.
plt.subplot2grid((3, 1), (2, 0))
time = t_ind * c.sensor_hz
plt.axvline(x=time,
color="black",
label=f"Current time = {np.around(time, 4)} s")
plt.plot(
np.arange(len(responses_array)) * c.sensor_hz,
responses_w_temp.T[-1],
color="red",
label="Total effect",
)
if isinstance(damage_scenario, PierDispDamage):
plt.plot(
np.arange(len(responses_array)) * c.sensor_hz,
np.ones(temp_effect[-1].shape) * pd_response_at_point,
color="green",
label="Pier settlement effect",
)
plt.plot(
np.arange(len(responses_array)) * c.sensor_hz,
temp_effect[-1],
color="blue",
label="Temperature effect",
)
plt.ylabel(f"{response_type.name()} ({responses.units})")
plt.xlabel("Time (s)")
plt.title(f"{response_type.name()} at sensor in top plot")
plt.legend(loc="upper right", framealpha=1)
# Finally save the image.
name = f"{damage_scenario.name}-{response_type.name()}-{t_ind}"
plt.tight_layout()
plt.savefig(c.get_image_path("classify/top-view", f"{name}.pdf"))
plt.savefig(c.get_image_path("classify/top-view/png", f"{name}.png"))
plt.close()
def wagen_1_contour_plot(
c: Config,
x: int,
crack_x: float,
response_type: ResponseType,
scatter: bool,
run: bool,
length: float,
outline: bool,
wheels: bool,
temp: bool,
):
original_c = c
LOADS = False
temp_bottom, temp_top = [17, 25]
time = wagen1.time_at(x=x, bridge=c.bridge)
def plot_wheels():
if wheels:
wagen1.plot_wheels(c=c,
time=time,
label="Truck 1 wheels",
zorder=100)
center = c.bridge.x_max / 2
min_x, max_x = center - 20, center + 20
min_z, max_z = c.bridge.z_min, c.bridge.z_max
def zoom_in():
plt.ylim(min_z, max_z)
plt.xlim(min_x, max_x)
loads = wagen1.to_wheel_track_loads(c=c, time=time, flat=True)
crack_f = lambda: transverse_crack(length=length, at_x=crack_x)
c = healthy_damage_w_transverse_crack_nodes(crack_f).use(original_c)[0]
deck_shells = get_bridge_shells(c.bridge)[0]
healthy_responses = load_fem_responses(
c=c,
sim_params=SimParams(ploads=loads),
response_type=response_type,
sim_runner=OSRunner(c),
run=run,
).at_shells(deck_shells) # Convert fem to one per shell.
if response_type in [ResponseType.Strain, ResponseType.StrainZZB]:
# Resize by E-6 from microstrain to strain to match temperature units.
healthy_responses = healthy_responses.resize()
before_temp = healthy_responses.at_deck(Point(x=51, z=-8.4), interp=False)
if temp:
healthy_deck_points = healthy_responses.deck_points() # Point of fem.
temp_effect = temperature.effect(
c=c,
response_type=response_type,
points=healthy_deck_points,
temps_bt=([temp_bottom], [temp_top]),
).T[0] # Temperature effect at existing response points.
healthy_responses = healthy_responses.add(temp_effect,
healthy_deck_points)
after_temp = healthy_responses.at_deck(Point(x=51, z=-8.4), interp=False)
print_i(f"Healthy, before/after = {before_temp}, {after_temp}")
if response_type in [ResponseType.Strain, ResponseType.StrainZZB]:
healthy_responses = healthy_responses.map(lambda x: x * 1e6)
else:
healthy_responses = healthy_responses.resize()
# Responses in cracked scenario.
c = crack_f().use(original_c)[0]
crack_responses = load_fem_responses(
c=c,
sim_params=SimParams(ploads=loads),
response_type=response_type,
sim_runner=OSRunner(c),
run=run,
).at_shells(deck_shells)
if response_type in [ResponseType.Strain, ResponseType.StrainZZB]:
# Resize by E-6 from microstrain to strain to match temperature units.
crack_responses = crack_responses.resize()
before_temp = crack_responses.at_deck(Point(x=51, z=-8.4), interp=False)
if temp:
crack_deck_points = crack_responses.deck_points() # Point of fem.
temp_effect = temperature.effect(
c=c,
response_type=response_type,
points=healthy_deck_points,
temps_bt=([temp_bottom], [temp_top]),
).T[0] # Temperature effect at existing response points.
crack_responses = crack_responses.add(temp_effect, healthy_deck_points)
after_temp = crack_responses.at_deck(Point(x=51, z=-8.4), interp=False)
print_i(f"Crack, before/after = {before_temp}, {after_temp}")
if response_type in [ResponseType.Strain, ResponseType.StrainZZB]:
crack_responses = crack_responses.map(lambda x: x * 1e6)
else:
crack_responses = crack_responses.resize()
# Limit to points in crack zone.
without_cm = 35
print(f"Avoid {without_cm} cm around crack zone")
_without_crack_zone = crack_f().without(c.bridge, without_cm / 100)
without_crack_zone = lambda p: not _without_crack_zone(p)
if response_type in [ResponseType.Strain, ResponseType.StrainZZB]:
healthy_responses = healthy_responses.without(without_crack_zone)
crack_responses = crack_responses.without(without_crack_zone)
# Norm calculation.
vmin = min(healthy_responses.values())
vmax = max(healthy_responses.values())
vmin = min(vmin, min(crack_responses.values()))
vmax = max(vmax, max(crack_responses.values()))
norm = mpl.colors.Normalize(vmin=vmin, vmax=vmax)
print(f"Norm min/max = {vmin}, {vmax}")
plt.portrait()
plt.subplot(3, 1, 1)
plot_contour_deck(
c=c,
responses=healthy_responses,
ploads=loads if LOADS else [],
scatter=scatter,
norm=norm,
decimals=2,
)
c_x_start, c_z_start, c_x_end, c_z_end = list(
map(round_m,
crack_f().crack_area(c.bridge)))
def plot_outline(label="Crack zone"):
if outline:
plt.gca().add_patch(
mpl.patches.Rectangle(
(c_x_start, c_z_start),
c_x_end - c_x_start,
c_z_end - c_z_start,
fill=not scatter,
edgecolor="black",
facecolor="white",
alpha=1,
label=label,
))
top_view_bridge(bridge=c.bridge, compass=False, abutments=True, piers=True)
plot_outline(label="Responses not considered")
plot_wheels()
zoom_in()
def legend():
plt.legend(
loc="upper right",
borderpad=0.2,
labelspacing=0.2,
borderaxespad=0,
handletextpad=0.2,
columnspacing=0.2,
)
legend()
plt.title(f"Healthy bridge")
plt.xlabel("")
plt.tick_params(bottom=False, labelbottom=False)
plt.subplot(3, 1, 2)
plot_contour_deck(
c=c,
responses=crack_responses,
ploads=loads if LOADS else [],
scatter=scatter,
norm=norm,
decimals=2,
)
top_view_bridge(bridge=c.bridge, compass=False, abutments=True, piers=True)
plot_outline()
plot_wheels()
zoom_in()
legend()
plt.title(f"Cracked bridge")
plt.xlabel("")
plt.tick_params(bottom=False, labelbottom=False)
plt.subplot(3, 1, 3)
responses = []
for x in healthy_responses.deck_xs:
for z in healthy_responses.zs[x][0]:
responses.append((
bridge_sim.sim.responses.responses[0][x][0][z] -
crack_responses.at_deck(Point(x=x, z=z), interp=False),
Point(x=x, z=z),
))
# try:
# fem.append((
# healthy_responses.fem[0][x][0][z]
# - crack_responses.fem[0][x][0][z],
# Point(x=x, z=z)
# ))
# except KeyError:
# pass
#
diff_responses = responses = Responses(
response_type=response_type,
responses=responses,
units=healthy_responses.units,
)
plot_contour_deck(
c=c,
responses=diff_responses,
ploads=loads if LOADS else [],
cmap=mpl.cm.get_cmap("PiYG"),
scatter=scatter,
decimals=2,
)
print("********")
print("********")
print("********")
grid_x, grid_z = 600, 200
grid_points = list(
filter(
lambda p: not without_crack_zone(p),
[
Point(x=x, y=0, z=z)
for x in np.linspace(c.bridge.x_min, c.bridge.x_max, grid_x)
for z in np.linspace(c.bridge.z_min, c.bridge.z_max, grid_z)
],
))
print(f"Amount grid points = {len(grid_points)}")
grid_x_len = c.bridge.length / grid_x
grid_z_len = c.bridge.width / grid_z
grid_area = grid_x_len * grid_z_len
print(f"Grid area = {grid_area}")
print("Interpolating diff fem")
interp_diff_responses = diff_responses.at_decks(grid_points)
count_interp = len(interp_diff_responses)
interp_diff_responses = interp_diff_responses[~np.
isnan(interp_diff_responses)]
print(
f"Removed {count_interp - len(interp_diff_responses)} of {count_interp} fem, remaining = {len(interp_diff_responses)}"
)
print("Finished interpolating diff fem")
count_min, count_max = 0, 0
d_min, d_max = min(diff_responses.values()), max(diff_responses.values())
print(f"diff min, max = {d_min}, {d_max}")
d_min08, d_max08 = d_min * 0.8, d_max * 0.8
for interp_r in interp_diff_responses:
if interp_r < d_min08:
count_min += 1
if interp_r > d_max08:
count_max += 1
print(f"Count = {count_min}, {count_max}")
save_path = original_c.get_image_path(
"verification",
safe_str(
f"truck1-contour-x-{x}{crack_x}{length}-{response_type.name()}-{temp}"
),
)
with open(save_path + ".txt", "w") as f:
f.write(f"{count_min}, {count_max}\n")
f.write(f"{count_min * grid_area}, {count_max * grid_area}")
print(f"Wrote results to {save_path}.txt")
top_view_bridge(bridge=c.bridge, compass=False, abutments=True, piers=True)
plot_outline()
plot_wheels()
zoom_in()
legend()
temp_str = f"\nT_bot = {temp_bottom} °C, T_top = {temp_top} °C" if temp else ""
plt.title(f"Difference of healthy & cracked bridge")
rt_name = (f"Microstrain {response_type.ss_direction()}" if response_type
in [ResponseType.Strain, ResponseType.StrainZZB
] else response_type.name())
plt.suptitle(f"{rt_name}: Truck 1 on healthy & cracked bridge{temp_str}")
plt.tight_layout(rect=[0, 0.03, 1, 0.93 if temp else 0.95])
plt.savefig(save_path + ".pdf")
def compare_responses(c: Config):
"""Compare fem to Truck 1, direct simulation and matmul."""
assert c.il_num_loads == 600
num_times = 50
close_times = 200
# Running time:
# responses_to_vehicles_d: num_times * 8
# responses_to_vehicles_d: 4 * il_num_loads
# responses_to_loads_m: 0 (4 * il_num_loads)
# responses_to_loads_m: 0 (4 * il_num_loads)
# Wagen 1 from the experimental campaign.
point = Point(x=c.bridge.x_max - (c.bridge.length / 2), y=0, z=-8.4)
end_time = wagen1.time_left_bridge(bridge=c.bridge)
wagen1_times = list(np.linspace(0, end_time, num_times))
more_wagen1_times = list(
np.linspace(
wagen1.time_at(x=point.x - 2, bridge=c.bridge),
wagen1.time_at(x=point.x + 2, bridge=c.bridge),
close_times,
))
wagen1_times = sorted(wagen1_times + more_wagen1_times)
plt.portrait()
# Start with fem from direct simulation.
responses_not_binned = responses_to_vehicles_d(
c=c,
response_type=ResponseType.YTranslation,
points=[point],
mv_vehicles=[wagen1],
times=wagen1_times,
sim_runner=OSRunner(c),
binned=False,
)
plt.subplot(4, 1, 1)
plt.title(f"{len(wagen1_times)} fem")
plt.plot(wagen1_times, responses_not_binned)
# Then fem from direct simulation with binning.
c.shorten_paths = True
responses_binned = responses_to_vehicles_d(
c=c,
response_type=ResponseType.YTranslation,
points=[point],
mv_vehicles=[wagen1],
times=wagen1_times,
sim_runner=OSRunner(c),
binned=True,
)
c.shorten_paths = False
plt.subplot(4, 1, 2)
plt.title(f"{len(wagen1_times)} fem (binned)")
plt.plot(wagen1_times, responses_binned)
xlim = plt.xlim()
num_times = int(end_time / c.sensor_hz)
wagen1_times = np.linspace(0, end_time, num_times)
# Then from 'TrafficArray' we get fem, without binning.
wagen1_loads = [
flatten(wagen1.to_point_load_pw(time=time, bridge=c.bridge), PointLoad)
for time in wagen1_times
]
responses_ulm = responses_to_traffic_array(
c=c,
traffic_array=loads_to_traffic_array(c=c, loads=wagen1_loads),
response_type=ResponseType.YTranslation,
damage_scenario=healthy_scenario,
points=[point],
sim_runner=OSRunner(c),
)
plt.subplot(4, 1, 3)
plt.title(f"{num_times} fem with ULS = {c.il_num_loads} traffic_array")
plt.plot(wagen1_times, np.array(responses_ulm).reshape(-1, 1))
plt.xlim(xlim)
# # Then from 'TrafficArray' we get fem, with binning.
wagen1_loads = [
flatten(wagen1.to_wheel_track_loads(c=c, time=time), PointLoad)
for time in wagen1_times
]
responses_ulm_binned = responses_to_traffic_array(
c=c,
traffic_array=loads_to_traffic_array(c=c, loads=wagen1_loads),
response_type=ResponseType.YTranslation,
damage_scenario=healthy_scenario,
points=[point],
sim_runner=OSRunner(c),
)
plt.subplot(4, 1, 4)
plt.title(
f"{num_times} fem from {c.il_num_loads} il_num_loads\ntraffic_array binned"
)
plt.plot(wagen1_times, np.array(responses_ulm_binned).reshape(-1, 1))
plt.xlim(xlim)
plt.tight_layout()
plt.savefig(
c.get_image_path("system-verification", "compare-time-series.pdf"))
def compare_axles(c: Config):
"""Compare fem between uniaxle vehicles and Truck 1."""
assert c.il_num_loads == 600
point = Point(x=c.bridge.x_max / 2, y=0, z=-8.4)
end_time = wagen1.time_left_bridge(bridge=c.bridge)
num_times = int(end_time / c.sensor_hz)
wagen1_times = np.linspace(0, end_time, num_times)
plt.portrait()
wagen1_loads = [
flatten(wagen1.to_wheel_track_loads(c=c, time=time), PointLoad)
for time in wagen1_times
]
responses_ulm = responses_to_traffic_array(
c=c,
traffic_array=loads_to_traffic_array(c=c, loads=wagen1_loads),
response_type=ResponseType.YTranslation,
damage_scenario=healthy_scenario,
points=[point],
sim_runner=OSRunner(c),
)
plt.subplot(3, 1, 1)
plt.title(
f"{num_times} fem with ULS = {c.il_num_loads} (Wagen 1 (4 axles))")
plt.plot(wagen1_times, np.array(responses_ulm).reshape(-1, 1))
bi_axle_loads = [
flatten(bi_axle_vehicle.to_wheel_track_loads(c=c, time=time),
PointLoad) for time in wagen1_times
]
responses_ulm = responses_to_traffic_array(
c=c,
traffic_array=loads_to_traffic_array(c=c, loads=bi_axle_loads),
response_type=ResponseType.YTranslation,
damage_scenario=healthy_scenario,
points=[point],
sim_runner=OSRunner(c),
)
plt.subplot(3, 1, 2)
plt.title(f"{num_times} fem with ULS = {c.il_num_loads} (2 axles)")
plt.plot(wagen1_times, np.array(responses_ulm).reshape(-1, 1))
uni_axle_loads = [
flatten(uni_axle_vehicle.to_wheel_track_loads(c=c, time=time),
PointLoad) for time in wagen1_times
]
responses_ulm = responses_to_traffic_array(
c=c,
traffic_array=loads_to_traffic_array(c=c, loads=uni_axle_loads),
response_type=ResponseType.YTranslation,
damage_scenario=healthy_scenario,
points=[point],
sim_runner=OSRunner(c),
)
plt.subplot(3, 1, 3)
plt.title(f"{num_times} fem with ULS = {c.il_num_loads} (1 axle)")
plt.plot(wagen1_times, np.array(responses_ulm).reshape(-1, 1))
plt.tight_layout()
plt.savefig(c.get_image_path("system-verification", "compare-axles.pdf"))
def cluster_damage(c: Config, mins: float):
# Create the traffic.
traffic_scenario = normal_traffic(c=c, lam=5, min_d=2)
traffic_sequence, traffic, traffic_array = load_traffic(
c=c,
traffic_scenario=traffic_scenario,
max_time=mins * 60,
)
point = Point(x=21, y=0, z=-8.4) # Point to investigate.
# Collect vertical translation and strain for all scenarios scenarios.
responses_y = []
responses_s = []
for damage_scenario in [
healthy_damage,
pier_disp_damage([(5, 0.5 / 1000)])
]:
responses_y.append(
responses_to_traffic_array(
c=c,
traffic_array=traffic_array,
response_type=ResponseType.YTranslation,
damage_scenario=damage_scenario,
points=[point],
sim_runner=OSRunner(c),
).T[0] * 1000)
assert len(responses_y[-1]) == len(traffic_array)
responses_s.append(
responses_to_traffic_array(
c=c,
traffic_array=traffic_array,
response_type=ResponseType.Strain,
damage_scenario=damage_scenario,
points=[point],
sim_runner=OSRunner(c),
).T[0])
assert len(responses_s[-1]) == len(traffic_array)
# Calculate features per scenarios.
damage_features = []
damage_labels = []
for damage_ind in range(len(responses_y)):
y = responses_y[damage_ind]
s = responses_s[damage_ind]
for response_ind in range(len(y)):
damage_features.append([y[response_ind], s[response_ind]])
damage_labels.append(damage_ind)
damage_features = np.array(damage_features)
damage_labels = np.array(damage_labels)
print_i(f"Dimensions of feature array = {damage_features.shape}")
# Plot the reference data.
plt.landscape()
plt.scatter(damage_features[:, 0], damage_features[:, 1], c=damage_labels)
plt.title("Reference")
plt.tight_layout()
plt.savefig(c.get_image_path("classify/cluster", "cluster-ref.pdf"))
plt.close()
# Plot the gaussian mixture results.
gmm = mixture.GaussianMixture(n_components=2).fit(damage_features)
labels = flip(l=gmm.predict(damage_features), ref=damage_labels)
plt.landscape()
plt.scatter(damage_features[:, 0], damage_features[:, 1], c=labels)
plt.title("Gaussian mixture n = 2")
plt.tight_layout()
plt.savefig(c.get_image_path("classify/cluster", "cluster-model.pdf"))
plt.close()
# Plot and print the accuracy.
# https://matplotlib.org/3.1.1/gallery/text_labels_and_annotations/custom_legends.html
acc = abs(labels - damage_labels)
total = defaultdict(lambda: 0)
correct = defaultdict(lambda: 0)
for ind, label in enumerate(damage_labels):
total[label] += 1
if acc[ind] == 0:
correct[label] += 1
for k, t in total.items():
print_i(f"k = {k}: {correct[k]} / {t} = {correct[k] / t}")
plt.scatter(damage_features[:, 0], damage_features[:, 1], c=acc)
plt.tight_layout()
plt.savefig(c.get_image_path("classify/cluster", "cluster-acc.pdf"))
plt.close()
def truck_1_time_series(c: Config):
"""Time series of 3 sensors to Truck 1's movement."""
side_s = 7
side = int(side_s * (1 / c.sensor_hz))
assert wagen1.x_at(time=0, bridge=c.bridge) == 0
# Get times and loads for Truck 1.
end_time = wagen1.time_left_bridge(c.bridge)
wagen1_times = np.linspace(-end_time, end_time * 2,
int((end_time * 3) / c.sensor_hz))
print_i("Calculating Truck 1 loads")
wagen1_loads = [
flatten(wagen1.to_wheel_track_loads(c=c, time=time), PointLoad)
# flatten(wagen1.to_point_load_pw(time=time, bridge=c.bridge), PointLoad)
for time in wagen1_times
]
print_i("Calculated Truck 1 loads")
def set_labels(ylabel: str, xlabel: str):
for i, y, x in [
(1, True, False),
(2, False, False),
(3, True, False),
(4, False, False),
(5, True, True),
(6, False, True),
]:
plt.subplot(3, 2, i)
ax = plt.gca()
if y:
plt.ylabel(ylabel)
else:
ax.axes.yaxis.set_ticklabels([])
if x:
plt.xlabel(xlabel)
ax.axes.xaxis.set_ticklabels([])
ymin, ymax = np.inf, -np.inf
for i in range(1, 6 + 1):
plt.subplot(3, 2, i)
ymin = min(ymin, plt.ylim()[0])
ymax = max(ymax, plt.ylim()[1])
for i in range(1, 6 + 1):
plt.subplot(3, 2, i)
plt.ylim((ymin, ymax))
################
# Vert. trans. #
################
plt.portrait()
# Find points of each sensor.
displa_labels = ["U13", "U26", "U29"]
displa_points = [
Point(x=sensor_x, y=0, z=sensor_z) for sensor_x, sensor_z in
[displa_sensor_xz(displa_label) for displa_label in displa_labels]
]
# Ensure points and truck are on the same lane.
assert all(p.z < 0 for p in displa_points)
# Results from simulation.
responses_truck1 = responses_to_traffic_array(
c=c,
traffic_array=loads_to_traffic_array(c=c, loads=wagen1_loads),
response_type=ResponseType.YTranslation,
damage_scenario=healthy_scenario,
points=displa_points,
).T
for s_i, sensor_responses in enumerate(responses_truck1):
plt.subplot(len(displa_points), 2, (s_i * 2) + 1)
# Find the center of the plot, minimum point in the data.
data_center = 0
for i in range(len(sensor_responses)):
if sensor_responses[i] < sensor_responses[data_center]:
data_center = i
# sensor_responses = add_displa_noise(sensor_responses) * 1000
sensor_responses = sensor_responses * 1000
plt.plot(sensor_responses[data_center - side:data_center + side])
plt.title(f"{displa_labels[s_i]} in simulation")
# Results from experiment.
side = int(side / ((1 / c.sensor_hz) / 100))
print_i(f"{side} points each side of center")
for s_i, displa_label in enumerate(displa_labels):
plt.subplot(len(displa_points), 2, (s_i * 2) + 2)
with open(f"validation/experiment/D1a-{displa_label}.txt") as f:
data = list(map(float, f.readlines()))
side_expt = int(side_s * (len(data) / 240))
# Find the center of the plot, minimum point in first 15000 points.
data_center = 0
for i in range(15000):
if data[i] < data[data_center]:
data_center = i
plt.plot(data[data_center - side_expt:data_center + side_expt])
plt.title(f"{displa_label} in dynamic test")
set_labels("Y translation (mm)", "Time")
plt.tight_layout()
plt.savefig(
c.get_image_path("validation/truck-1", "time-series-vert-trans.pdf"))
plt.close()
##########
# Strain #
##########
plt.portrait()
# Find points of each sensor.
strain_labels = ["T1", "T10", "T11"]
strain_points = [
Point(x=sensor_x, y=0, z=sensor_z) for sensor_x, sensor_z in
[strain_sensor_xz(strain_label) for strain_label in strain_labels]
]
# Results from simulation.
responses_truck1 = responses_to_traffic_array(
c=c,
traffic_array=loads_to_traffic_array(c=c, loads=wagen1_loads),
response_type=ResponseType.Strain,
damage_scenario=healthy_scenario,
points=strain_points,
).T
for s_i, sensor_responses in enumerate(responses_truck1):
plt.subplot(len(strain_points), 2, (s_i * 2) + 1)
# Find the center of the plot, minimum point in the data.
data_center = 0
for i in range(len(sensor_responses)):
if sensor_responses[i] > sensor_responses[data_center]:
data_center = i
# sensor_responses = add_strain_noise(sensor_responses)
# plt.plot(sensor_responses)
plt.plot(sensor_responses[data_center - side:data_center + side])
# plt.plot(sensor_responses[data_center - side : data_center + side])
plt.title(f"{strain_labels[s_i]} in simulation")
# Results from experiment.
print_i(f"{side} points each side of center")
for s_i, strain_label in enumerate(strain_labels):
plt.subplot(len(strain_points), 2, (s_i * 2) + 2)
with open(f"validation/experiment/D1a-{strain_label}.txt") as f:
data = list(map(float, f.readlines()))
side_expt = int(side_s * (len(data) / 240))
# Find the center of the plot, minimum point in first 15000 points.
data_center = 0
for i in range(15000):
if data[i] < data[data_center]:
data_center = i
# plt.plot(data)
plt.plot(data[data_center - side_expt:data_center + side_expt])
# plt.plot(data[data_center - side_expt : data_center + side_expt])
plt.title(f"{strain_label} in dynamic test")
set_labels("Microstrain", "Time")
plt.tight_layout()
plt.savefig(
c.get_image_path("validation/truck-1", "time-series-strain.pdf"))
plt.close()
def stress_strength_plot(c: Config, top: bool):
"""Plot the difference of tensile strength and stress under load."""
original_c = c
plt.portrait()
response_type = ResponseType.StrainT if top else ResponseType.Strain
settlement = 3
temp_bottom, temp_top = 21, 30
deck_points = [
Point(x=x, y=0, z=z) for x in np.linspace(
# c.bridge.x_min, c.bridge.x_max, num=10
c.bridge.x_min,
c.bridge.x_max,
num=int(c.bridge.length * 3),
) for z in np.linspace(
# c.bridge.z_min, c.bridge.z_max, num=10
c.bridge.z_min,
c.bridge.z_max,
num=int(c.bridge.width * 3),
)
]
# Pier settlement.
plt.subplot(3, 1, 1)
c, sim_params = pier_disp_damage([(9, settlement / 1000)]).use(original_c)
responses = (load_fem_responses(
c=c,
sim_runner=OSRunner(c),
response_type=response_type,
sim_params=sim_params,
).resize().to_stress(c.bridge))
top_view_bridge(bridge=c.bridge, compass=False, abutments=True, piers=True)
plot_contour_deck(c=c, responses=responses, decimals=2)
plt.legend(loc="upper right", borderaxespad=0)
plt.title(f"{settlement} mm pier settlement")
print("Calculated stress from pier settlement")
# Temperature effect.
plt.subplot(3, 1, 2)
c = original_c
print(f"deck_points.shape = {np.array(deck_points).shape}")
temp_effect = temperature.effect(
c=c,
response_type=response_type,
points=deck_points,
temps_bt=([temp_bottom], [temp_top]),
).T[0]
print(f"temp_effect.shape = {np.array(temp_effect).shape}")
responses = (Responses(
response_type=response_type,
responses=[(temp_effect[p_ind], deck_points[p_ind])
for p_ind in range(len(deck_points))
if not np.isnan(temp_effect[p_ind])],
).without(remove=without.edges(c=c, radius=2)).to_stress(c.bridge))
top_view_bridge(c.bridge, compass=False, abutments=True, piers=True)
plot_contour_deck(c=c, responses=responses, decimals=2)
plt.legend(loc="upper right", borderaxespad=0)
plt.title(f"T_bot, T_top = {temp_bottom}°C, {temp_top}°C")
# plt.title(f"{top_str} stress\nbottom, top = {temp_bottom}, {temp_top}")
print("Calculated stress from temperature")
# Cracked concrete.
plt.subplot(3, 1, 3)
time = wagen1.time_at(x=52, bridge=c.bridge)
print(f"wagen1.total_kn() = {wagen1.kn}")
wagen1.kn = 400
loads = wagen1.to_wheel_track_loads(c=c, time=time, flat=True)
c, sim_params = transverse_crack().use(original_c)
c, sim_params = HealthyDamage().use(original_c)
sim_params.ploads = loads
responses = (load_fem_responses(
c=c,
sim_runner=OSRunner(c),
response_type=response_type,
sim_params=sim_params,
).resize().to_stress(c.bridge))
top_view_bridge(bridge=c.bridge, compass=False, abutments=True, piers=True)
plot_contour_deck(c=c, responses=responses, decimals=2)
plt.legend(loc="upper right", borderaxespad=0)
# plt.title(f"Top stress: cracked concrete\nunder a {int(wagen1.kn)} kN vehicles")
plt.title(f"{int(wagen1.total_kn())} kN vehicle")
plt.suptitle(f"Stress {response_type.ss_direction()} for 3 scenarios")
equal_lims("x", 3, 1)
plt.tight_layout(rect=[0, 0.03, 1, 0.95])
plt.savefig(
original_c.get_image_path(
"validation", f"stress-strength-{response_type.name()}.pdf"))
plt.close()