MIMO for Event History#
[1]:
import numpy as np
import mdof
import quakeio
from mdof import modal, transform
from mdof.utilities import Config, extract_channels, list_files, print_modes, mode_statistics
Data inputs#
[2]:
directory = "../CESMD/CE89324/"
pattern = "????????*.[zZ][iI][pP]"
# pattern = "sanlorenzo_28june2021.zip"
# pattern = "*[sb][ae][nr][lk]*"
with open('../../Caltrans.Hayward/CGS_data/function_test_zips.txt', 'r') as readfile:
function_tests = readfile.read().split("\n")
import glob
events = [quakeio.read(event) for event in glob.glob('../CGS_data/58658*P.zip') if event[-33:] not in function_tests]
from pathlib import Path
# for file in Path(directory).glob(pattern):
# if str(file)[-33:] in function_tests:
# print(file)
files = [file for file in Path(directory).glob(pattern) if str(file)[-33:] not in function_tests]
[3]:
data_conf = Config()
# PAINTER RIO DELL TRANSVERSE (CASE 1)
title = "Painter St Bridge Transverse Mode (In: Ch17, Out: Ch9)"
data_conf.inputs = [3,17,20]
data_conf.outputs = [7,9,4]
# # PAINTER RIO DELL LONGITUDINAL (CASE 2)
# data_conf.inputs = [15,1,18]
# data_conf.outputs = [11]
# # HWY8/MELOLAND TRANSVERSE (CASE 1)
# data_conf.inputs = [2],
# data_conf.outputs = [5,7,9]
# # HWY8/MELOLAND TRANSVERSE (CASE 2)
# data_conf.inputs = [11,2,26],
# data_conf.outputs = [5,7,9]
# # HWY8/MELOLAND LONGITUDINAL (CASE 3)
# data_conf.inputs = [12,4,25],
# data_conf.outputs = [27,8]
# # CROWLEY TRANSVERSE (CASE 1)
# data_conf.inputs = [4]
# data_conf.outputs = [6,7,9]
# # CROWLEY TRANSVERSE (CASE 2)
# data_conf.inputs = [6,4,9]
# data_conf.outputs = [7]
# # CROWLEY TRANSVERSE (CASE 3)
# data_conf.inputs = [4]
# data_conf.outputs = [7]
# # CROWLEY LONGITUDINAL (CASE 4)
# data_conf.inputs = [5]
# data_conf.outputs = [8]
# # RIDGECREST TRANSVERSE (CASE 1)
# data_conf.inputs = [4]
# data_conf.outputs = [6,7,9]
# # CAPISTRANO TRANSVERSE (CASE 1)
# data_conf.inputs = [4]
# data_conf.outputs = [10,7]
# # HAYWARD TRANSVERSE (CASE 1)
# title = "Hayward Bridge Transverse Mode (In: Ch25, Out: Ch23)"
# data_conf.inputs = [25,2,7,18]
# data_conf.outputs = [23,13,15,20]
# # HAYWARD LONGITUDINAL (CASE 2)
# title = "Hayward Bridge Longitudinal Mode (In: Ch3, Out: Ch12)"
# data_conf.inputs = [3,6,17]
# data_conf.outputs = [12,14,19]
# # HAYWARD LONGITUDINAL Alternative
# title = "Hayward Bridge Longitudinal Mode (In: Ch6, Out: Ch14)"
# data_conf.inputs = [6,3,17]
# data_conf.outputs = [14,12,19]
# # BERNARDINO TRANSVERSE BENT 3 (CASE 1)
# data_conf.inputs = [6]
# data_conf.outputs = [7,8]
# # BERNARDINO TRANSVERSE BENT 8 (CASE 2)
# data_conf.inputs = [24]
# data_conf.outputs = [19,20]
# # BERNARDINO LONGITUDINAL BENT 3 (CASE 3)
# data_conf.inputs = [4]
# data_conf.outputs = [10]
# # BERNARDINO LONGITUDINAL BENT 8 (CASE 4)
# data_conf.inputs = [22]
# data_conf.outputs = [17,18]
# # VINCENT THOMAS (CE14406) TRANSVERSE (CASE 1)
# data_conf.inputs = [1,9,24]
# data_conf.outputs = [2,5,7]
# # VINCENT THOMAS TRANSVERSE DENSE (CASE 2)
# data_conf.inputs = [1,9,24]
# data_conf.outputs = [2,4,5,6,7]
# # VINCENT THOMAS VERTICAL SOUTH DECK EDGE (CASE 3)
# data_conf.inputs = [14,19,26]
# data_conf.outputs = [16,18,22]
Method Inputs#
General Parameters#
parameter |
value |
|---|---|
|
number of output channels |
|
number of input channels |
|
number of timesteps |
|
timestep |
|
decimation (downsampling) factor |
|
model order (2 times number of DOF) |
Specific to Observer Kalman Identification (OKID)#
parameter |
value |
|---|---|
|
number of Markov parameters to compute (at most = nt) |
Specific to Eigensystem Realization Algorithm (ERA)#
parameter |
value |
|---|---|
|
number of observability parameters, or prediction horizon |
|
number of controllability parameters |
Specific to Data Correlations (DC)#
parameter |
value |
|---|---|
|
(alpha) number of additional block rows in Hankel matrix of correlation matrices |
|
(beta) number of additional block columns in Hankel matrix of correlation matrices |
|
initial lag |
|
lag (gap) between correlations |
Specific to System Realization with Information Matrix (SRIM)#
parameter |
value |
|---|---|
|
number of steps used for identification, or prediction horizon |
Parameters for Mode Validation#
parameter |
value |
|---|---|
|
number of steps used for temporal consistency in EMAC |
[4]:
# Set Parameters
conf = Config()
conf.m = 500
conf.horizon = 190
conf.nc = 190
conf.order = 12
conf.a = 0
conf.b = 0
conf.l = 10
conf.g = 3
conf.period_band = (0.1,0.6)
conf.damping = 0.06
conf.pseudo = True
conf.outlook = 190
[5]:
# event_names = ["Berkeley", "San Lorenzo"]
event_modes = []
from matplotlib import pyplot as plt
file_axes = {}
fig, axs = plt.subplots(len(files), figsize=(6,2*len(files)), sharex=True, constrained_layout=True)
axi = iter(axs)
method = "srim"
for i, file in enumerate(files):
ax = next(axi)
# fig, ax = plt.subplots(figsize=(10,5))
print(file)
try:
event = quakeio.read(file, exclusions=["*filter*"])#, "*date*"])
print("peak acceleration (cm/s/s):", event["peak_accel"])
inputs, dt = extract_channels(event, data_conf.inputs)
outpts, dt = extract_channels(event, data_conf.outputs)
conf.decimation = 8 # decimation factor for state space method
realization = mdof.system(method=method, inputs=inputs, outputs=outpts, threads=18, chunk=200, **conf)
except Exception as e:
# raise e
print(e)
print(file.name)
continue
ss_modes = modal.system_modes(realization,dt,**conf)
event_modes.append(list(ss_modes.values()))
print_modes(ss_modes)
conf.decimation = 1 # decimation factor for transfer function methods
periods, amplitudes = transform.fourier_transfer(inputs=inputs[0], outputs=outpts[0], step=dt, **conf)
amplitudes = amplitudes/max(amplitudes)
ax.plot(periods, amplitudes, label=["fourier" if i==0 else None][0], color="blue") #, alpha = (1/(len(files)+2))*(i+1))
periods, amplitudes = transform.response_transfer(inputs=inputs[0], outputs=outpts[0], step=dt, periods=periods, threads=8, **conf)
amplitudes = amplitudes/max(amplitudes)
ax.plot(periods, amplitudes, label=["response spectrum" if i==0 else None][0], color="green") #, alpha = (1/(len(files)+2))*(i+1))
ax.vlines([1/value["freq"] for value in ss_modes.values() if value["energy_condensed_emaco"]>0.5 and value["mpc"]>0.5], 0, 1, color='r', linestyles='dashed', label=[f"state space ({method})" if i==0 else None][0])
ax.set_xlim(conf.period_band)
ax.set_title(event["event_date"])
fig.legend(bbox_to_anchor=(1.45,0.85))
event_frequencies = mode_statistics(event_modes, "freq")
fig.suptitle(title, fontsize=16)
../CESMD/CE89324/bayview_11oct2013_72086051_ce89324p.zip
peak acceleration (cm/s/s): 87.954
100%|█████████▉| 1310/1311 [00:00<00:00, 2237.95it/s]
Spectral quantities:
T(s) ζ EMACO MPC EMACO*MPC
0.2709 0.001132 1.0 0.8338 0.8338
0.2527 -0.003276 1.0 0.9749 0.9749
0.2409 -0.0003217 1.0 0.8874 0.8874
0.2337 -0.0001491 1.0 0.8368 0.8368
0.2282 0.03774 1.0 0.9219 0.9219
0.2133 0.02379 1.0 0.3374 0.3374
Mean Period(s): 0.23994997335785784
Standard Dev(s): 0.01829979557828316
../CESMD/CE89324/ferndaleoffshore_08dec2016_us20007z6r_ce89324p.zip
peak acceleration (cm/s/s): -30.371
100%|█████████▉| 686/687 [00:00<00:00, 2885.01it/s]
/mnt/c/Users/cmp/Documents/GitHub/SystemIdentification/src/mdof/validation.py:137: RuntimeWarning: divide by zero encountered in scalar divide
nu[i] = (s22[i]-s11[i])/(2*s12[i])
/mnt/c/Users/cmp/Documents/GitHub/SystemIdentification/src/mdof/validation.py:138: RuntimeWarning: invalid value encountered in scalar multiply
lam[0,i] = (s11[i]+s22[i])/2 + s12[i]*np.sqrt(nu[i]**2+1)
/mnt/c/Users/cmp/Documents/GitHub/SystemIdentification/src/mdof/validation.py:139: RuntimeWarning: invalid value encountered in scalar multiply
lam[1,i] = (s11[i]+s22[i])/2 - s12[i]*np.sqrt(nu[i]**2+1)
Spectral quantities:
T(s) ζ EMACO MPC EMACO*MPC
0.2359 0.0038 1.0 0.9453 0.9453
0.227 0.03918 1.0 0.9725 0.9725
0.2238 0.005151 1.0 0.9662 0.9662
0.2093 0.009579 1.0 0.604 0.604
0.2032 0.02393 1.0 0.9483 0.9483
Mean Period(s): 0.21983789850293506
Standard Dev(s): 0.011930582991559505
../CESMD/CE89324/ferndale_28jan2015_72387946_ce89324p.zip
peak acceleration (cm/s/s): -285.334
100%|█████████▉| 874/875 [00:00<00:00, 2546.99it/s]
Spectral quantities:
T(s) ζ EMACO MPC EMACO*MPC
0.3119 0.01321 1.0 0.8887 0.8887
0.2602 -0.004556 1.0 0.7266 0.7266
0.2555 0.04334 1.0 0.972 0.972
0.2482 0.01867 1.0 0.878 0.878
0.2299 0.008439 1.0 0.7712 0.7712
Mean Period(s): 0.26113898415437486
Standard Dev(s): 0.027387551087975463
../CESMD/CE89324/nc73201181_ce89324p.zip
peak acceleration (cm/s/s): 243.242
100%|█████████▉| 831/832 [00:00<00:00, 2802.56it/s]
Spectral quantities:
T(s) ζ EMACO MPC EMACO*MPC
0.7111 0.06989 1.0 0.2373 0.2373
0.2911 0.4793 0.0 0.2207 0.0
0.2839 0.01621 1.0 0.9861 0.9861
0.2669 0.008783 1.0 0.8865 0.8865
0.2449 0.02909 1.0 0.9715 0.9715
0.2391 0.09027 0.9849 0.9734 0.9587
Mean Period(s): 0.3394953575119655
Standard Dev(s): 0.16723260983987168
../CESMD/CE89324/nc73351710_ce89324p.zip
peak acceleration (cm/s/s): -53.539
100%|█████████▉| 868/869 [00:00<00:00, 2740.65it/s]
Spectral quantities:
T(s) ζ EMACO MPC EMACO*MPC
0.2298 0.02758 1.0 0.9018 0.9018
0.2293 0.01291 1.0 0.6597 0.6597
0.2141 0.005794 1.0 0.8125 0.8125
0.198 0.01652 1.0 0.954 0.954
0.1856 0.007892 1.0 0.9607 0.9607
0.1639 0.004047 1.0 0.953 0.953
Mean Period(s): 0.20345404869738717
Standard Dev(s): 0.023751109375293063
../CESMD/CE89324/nc73666231_ce89324p.zip
peak acceleration (cm/s/s): 30.272
100%|█████████▉| 631/632 [00:00<00:00, 2616.91it/s]
Spectral quantities:
T(s) ζ EMACO MPC EMACO*MPC
0.2969 0.04186 1.0 0.3244 0.3244
0.2725 0.03001 1.0 0.8513 0.8513
0.2432 0.02007 1.0 0.9816 0.9816
0.2255 0.03043 1.0 0.8075 0.8075
0.2231 0.0144 1.0 0.8528 0.8528
0.1644 0.007564 1.0 0.9913 0.9913
Mean Period(s): 0.23760239670892977
Standard Dev(s): 0.041786791965444915
../CESMD/CE89324/nc73667866_ce89324p.zip
peak acceleration (cm/s/s): 32.846
100%|█████████▉| 647/648 [00:00<00:00, 3019.03it/s]
Spectral quantities:
T(s) ζ EMACO MPC EMACO*MPC
0.2674 0.07844 1.0 0.2192 0.2192
0.2388 0.01897 1.0 0.08927 0.08927
0.2295 0.06567 1.0 0.5181 0.5181
0.2229 0.03194 1.0 0.1985 0.1985
0.2029 0.0984 0.004007 0.7416 0.002972
Mean Period(s): 0.23230004145748845
Standard Dev(s): 0.021121709869982592
../CESMD/CE89324/nc73714181_ce89324p.zip
peak acceleration (cm/s/s): 54.457
100%|█████████▉| 694/695 [00:00<00:00, 3319.68it/s]
Spectral quantities:
T(s) ζ EMACO MPC EMACO*MPC
0.3978 0.1306 0.999 0.7373 0.7366
0.3016 0.02847 1.0 0.7979 0.7979
0.2591 0.03579 1.0 0.7103 0.7103
0.236 0.009554 1.0 0.8541 0.8541
0.2 0.03356 1.0 0.4057 0.4057
0.1853 0.004686 1.0 0.1831 0.1831
Mean Period(s): 0.2633002998041649
Standard Dev(s): 0.0712209453393016
../CESMD/CE89324/nc73821036_ce89324p.zip
peak acceleration (cm/s/s): -1356.923
100%|█████████▉| 1229/1230 [00:00<00:00, 2421.65it/s]
Spectral quantities:
T(s) ζ EMACO MPC EMACO*MPC
0.4041 0.02136 1.0 0.1498 0.1498
0.3177 0.008901 1.0 0.8627 0.8627
0.3006 0.00409 1.0 0.9268 0.9268
0.2818 0.019 1.0 0.9697 0.9697
0.2801 0.007793 1.0 0.8783 0.8783
0.2441 0.1093 0.0004749 0.9427 0.0004477
Mean Period(s): 0.3047263057826448
Standard Dev(s): 0.049794929438951606
../CESMD/CE89324/nc73821046_ce89324p.zip
peak acceleration (cm/s/s): -139.897
100%|█████████▉| 662/663 [00:00<00:00, 2844.54it/s]
Spectral quantities:
T(s) ζ EMACO MPC EMACO*MPC
0.3001 0.04037 1.0 0.7879 0.7879
0.2674 0.03467 1.0 0.1593 0.1593
0.2591 0.06272 1.0 0.6758 0.6758
0.2469 0.03627 1.0 0.8245 0.8245
0.2256 0.03078 1.0 0.7015 0.7015
0.1745 0.03043 1.0 0.8787 0.8787
Mean Period(s): 0.24562036099179363
Standard Dev(s): 0.03891069442719765
../CESMD/CE89324/nc73821636_ce89324p.zip
peak acceleration (cm/s/s): 50.951
100%|█████████▉| 673/674 [00:00<00:00, 3177.12it/s]
Spectral quantities:
T(s) ζ EMACO MPC EMACO*MPC
0.2833 0.009959 1.0 0.6816 0.6816
0.2434 0.01689 1.0 0.8856 0.8856
0.2357 0.0112 1.0 0.2451 0.2451
0.2286 0.07124 0.9998 0.5308 0.5307
0.2061 0.04924 1.0 0.9692 0.9692
0.1684 0.03321 1.0 0.5699 0.5699
Mean Period(s): 0.22757668980327647
Standard Dev(s): 0.03510575192028343
../CESMD/CE89324/nc73827571_ce89324p.zip
peak acceleration (cm/s/s): -1012.657
100%|█████████▉| 914/915 [00:00<00:00, 2689.89it/s]
Spectral quantities:
T(s) ζ EMACO MPC EMACO*MPC
0.6212 0.09436 1.0 0.6528 0.6528
0.5406 0.009841 1.0 0.8737 0.8737
0.4367 0.04506 1.0 0.2452 0.2452
0.317 0.01029 1.0 0.4412 0.4412
0.2569 0.08572 0.9968 0.9454 0.9424
Mean Period(s): 0.4344633802066828
Standard Dev(s): 0.13524874602820816
../CESMD/CE89324/nc73890906_ce89324p.zip
peak acceleration (cm/s/s): 33.218
100%|█████████▉| 694/695 [00:00<00:00, 2891.35it/s]
Spectral quantities:
T(s) ζ EMACO MPC EMACO*MPC
0.2607 0.02224 1.0 0.003157 0.003157
0.2449 0.006788 1.0 0.9932 0.9932
0.24 -0.0008864 1.0 0.8373 0.8373
0.2263 0.02832 1.0 0.7906 0.7906
0.2163 0.04559 1.0 0.9555 0.9555
0.1748 0.001106 1.0 0.2454 0.2454
Mean Period(s): 0.22716129703326704
Standard Dev(s): 0.027283894562143994
../CESMD/CE89324/petrolia_05dec2016_72733405_ce89324p.zip
peak acceleration (cm/s/s): 165.262
100%|█████████▉| 1310/1311 [00:00<00:00, 2282.88it/s]
Spectral quantities:
T(s) ζ EMACO MPC EMACO*MPC
0.2964 0.01012 1.0 0.9602 0.9602
0.2634 0.04313 1.0 0.8054 0.8054
0.2474 0.0159 1.0 0.8673 0.8673
0.2425 0.012 1.0 0.8418 0.8418
0.2228 0.01331 1.0 0.4284 0.4284
0.2051 0.005986 1.0 0.8064 0.8064
Mean Period(s): 0.246280600421937
Standard Dev(s): 0.02905011899350602
../CESMD/CE89324/riodell_14sep2012_71842075_ce89324p.zip
peak acceleration (cm/s/s): -219.633
100%|█████████▉| 1310/1311 [00:00<00:00, 2320.65it/s]
Spectral quantities:
T(s) ζ EMACO MPC EMACO*MPC
0.2735 0.03582 1.0 0.94 0.94
0.2556 0.06232 1.0 0.998 0.998
0.2391 0.005624 1.0 0.9759 0.9759
0.2049 0.01358 1.0 0.8958 0.8958
0.1772 0.0223 1.0 0.8821 0.8821
0.1482 0.01812 1.0 0.3485 0.3485
Mean Period(s): 0.21639806443332765
Standard Dev(s): 0.044021503974172094
../CESMD/CE89324/riodell_19oct2014_72330211_ce89324p.zip
peak acceleration (cm/s/s): -60.641
100%|█████████▉| 671/672 [00:00<00:00, 2351.78it/s]
Spectral quantities:
T(s) ζ EMACO MPC EMACO*MPC
0.2918 0.01039 1.0 0.9987 0.9987
0.2418 -0.006623 1.0 0.3285 0.3285
0.2226 0.02352 1.0 0.9517 0.9517
0.1945 0.1566 3.285e-19 0.9412 3.092e-19
0.1651 0.006289 1.0 0.7292 0.7292
Mean Period(s): 0.2231605195046272
Standard Dev(s): 0.04301403503187152
../CESMD/CE89324/RioDell_Petrolia_Processed_Data.zip
peak acceleration (cm/s/s): 30.272
100%|█████████▉| 631/632 [00:00<00:00, 2284.98it/s]
Spectral quantities:
T(s) ζ EMACO MPC EMACO*MPC
0.2969 0.04186 1.0 0.3244 0.3244
0.2725 0.03001 1.0 0.8513 0.8513
0.2432 0.02007 1.0 0.9816 0.9816
0.2255 0.03043 1.0 0.8075 0.8075
0.2231 0.0144 1.0 0.8528 0.8528
0.1644 0.007564 1.0 0.9913 0.9913
Mean Period(s): 0.23760239670892977
Standard Dev(s): 0.041786791965444915
[5]:
Text(0.5, 0.98, 'Painter St Bridge Transverse Mode (In: Ch17, Out: Ch9)')
