4.1. Stochastic Wave Loading on a Frame Structure - JONSWAP Spectra
Problem files |
4.1.1. Overview

This local workflow example uses HydroUQ to apply basic uncertainty quantification methods— Forward, Sensitivity, Reliability, and Surrogate—to the response of a simple structure subjected to stochastic wave loading drawn from a JONSWAP spectrum.
Warning
The JONSWAP spectra is limited in its applicability. It was semi-empirically developed based on data from field measurements in the North Sea. In this example, we imagine it as being applied to an off-shore structure in the North Atlantic, perhaps off the coast of Maine or Norway during appropriate sea-states. Ultimately JONSWAP is a placeholder spectra that advanced users can replace with their own.
Note
Units must be used consistently across GI, SIM, EVT, and FEM panels. If not otherwise specified, adopt your project’s standard (e.g., kips-in-s or N-m-s) and keep all inputs consistent. We leave this double-checking to the user as an exercise in better understanding the OpenSees structural and JONSWAP wave spectra models.
4.1.2. Set-Up
4.1.2.1. Step 1: UQ
Configure UQ to explore structural/material and loading uncertainties.
Engine: Dakota
Forward Propagation Sample method (e.g., LHS) with
samples
(e.g.,40
) andseed
(e.g.,1
) for repeatability.

Sensitivity: choose a sampling method (e.g., Monte-Carlo or Latin Hyper Cube) to aid in ranking influence of
fc
,fy
, andE
.

Reliability: choose a suitable method (e.g., FORM/SORM or importance sampling) and define a limit state (e.g., peak drift or member demand ratio).

Surrogate: choose a Gaussian process regression (GPR) or polynomial chaos expansion (PCE) model to build a reduced-order model for efficient uncertainty quantification.

4.1.2.2. Step 2: GI
Set General Information and Units. Ensure that length/time units are consistent with the JONSWAP parameters (Tp
, dt
, T
) and the solver’s integration settings.
Project name:
hdro-0005
Location/metadata: optional
Units: select your consistent set (e.g., kips-in-s or N-m-s)

4.1.2.3. Step 3: SIM
The structural model is as follows: a 2D, 3-DOF OpenSees portal frame in OpenSees, OpenSees.

Fig. 4.1.2.3.1 2D 3-DOF portal frame under stochastic wave loading (JONSWAP)
For the OpenSees generator the following model script, Frame.tcl , is used:
Click to expand the OpenSees input file used for this example
1# Create ModelBuilder (with two-dimensions and 3 DOF/node)
2
3model basic -ndm 2 -ndf 3
4
5set width 360
6set height 144
7
8node 1 0.0 0.0
9node 2 $width 0.0
10node 3 0.0 $height
11node 4 $width $height
12
13fix 1 1 1 1
14fix 2 1 1 1
15
16# Concrete ( Youngs Modulus, Yield Strength, and Compressive Strength)
17pset fc 6.0
18pset fy 60.0
19pset E 30000.0
20uniaxialMaterial Concrete01 1 -$fc -0.004 -5.0 -0.014
21uniaxialMaterial Concrete01 2 -5.0 -0.002 0.0 -0.006
22
23# STEEL
24uniaxialMaterial Steel01 3 $fy $E 0.01
25
26set colWidth 15
27set colDepth 24
28set cover 1.5
29set As 0.60; # area of no. 7 bars
30set y1 [expr $colDepth/2.0]
31set z1 [expr $colWidth/2.0]
32
33section Fiber 1 {
34
35 # Create the concrete core fibers
36 patch rect 1 10 1 [expr $cover-$y1] [expr $cover-$z1] [expr $y1-$cover] [expr $z1-$cover]
37
38 # Create the concrete cover fibers (top, bottom, left, right)
39 patch rect 2 10 1 [expr -$y1] [expr $z1-$cover] $y1 $z1
40 patch rect 2 10 1 [expr -$y1] [expr -$z1] $y1 [expr $cover-$z1]
41 patch rect 2 2 1 [expr -$y1] [expr $cover-$z1] [expr $cover-$y1] [expr $z1-$cover]
42 patch rect 2 2 1 [expr $y1-$cover] [expr $cover-$z1] $y1 [expr $z1-$cover]
43
44 # Create the reinforcing fibers (left, middle, right)
45 layer straight 3 3 $As [expr $y1-$cover] [expr $z1-$cover] [expr $y1-$cover] [expr $cover-$z1]
46 layer straight 3 2 $As 0.0 [expr $z1-$cover] 0.0 [expr $cover-$z1]
47 layer straight 3 3 $As [expr $cover-$y1] [expr $z1-$cover] [expr $cover-$y1] [expr $cover-$z1]
48
49}
50
51
52# Define column elements
53# ----------------------
54
55# Geometry of column elements
56# tag
57
58geomTransf Corotational 1
59
60# Number of integration points along length of element
61set np 5
62
63# Create the coulumns using Beam-column elements
64# e tag ndI ndJ nsecs secID transfTag
65set eleType dispBeamColumn
66element $eleType 1 1 3 $np 1 1
67element $eleType 2 2 4 $np 1 1
68
69# Define beam elment
70# -----------------------------
71
72# Geometry of column elements
73# tag
74geomTransf Linear 2
75
76# Create the beam element
77# tag ndI ndJ A E Iz transfTag
78element elasticBeamColumn 3 3 4 360 4030 8640 2
79
80# Define gravity loads
81# --------------------
82
83# Set a parameter for the axial load
84set P 180; # 10% of axial capacity of columns
85
86# Create a Plain load pattern with a Linear TimeSeries
87pattern Plain 1 "Linear" {
88
89 # Create nodal loads at nodes 3 & 4
90 # nd FX FY MZ
91 load 3 0.0 [expr -$P] 0.0
92 load 4 0.0 [expr -$P] 0.0
93}
94
95# ------------------------------
96# Start of analysis generation
97# ------------------------------
98
99# Create the system of equation, a sparse solver with partial pivoting
100system ProfileSPD
101
102# Create the constraint handler, the transformation method
103constraints Transformation
104
105# Create the DOF numberer, the reverse Cuthill-McKee algorithm
106numberer RCM
107
108# Create the convergence test, the norm of the residual with a tolerance of
109# 1e-12 and a max number of iterations of 10
110test NormDispIncr 1.0e-12 10 3
111
112# Create the solution algorithm, a Newton-Raphson algorithm
113algorithm Newton
114
115# Create the integration scheme, the LoadControl scheme using steps of 0.1
116integrator LoadControl 0.1
117
118# Create the analysis object
119analysis Static
120
121# ------------------------------
122# End of analysis generation
123# ------------------------------
124
125# perform the gravity load analysis, requires 10 steps to reach the load level
126analyze 10
127
128loadConst -time 0.0
129
130# ----------------------------------------------------
131# End of Model Generation & Initial Gravity Analysis
132# ----------------------------------------------------
133
134
135# ----------------------------------------------------
136# Start of additional modelling for dynamic loads
137# ----------------------------------------------------
138
139# Define nodal mass in terms of axial load on columns
140set g 386.4
141set m [expr $P/$g]; # expr command to evaluate an expression
142
143# tag MX MY RZ
144mass 3 $m $m 0
145mass 4 $m $m 0
Note
The first lines containing pset
in an OpenSees tcl file will be read by the application when the file is selected. The application will autopopulate the random variables in the RV panel with these same variable names.

These variable names (fc
, fy
, E
) are recognized in Frame.tcl
due to use of the pset command instead of set. This is so that RV picks them up automatically. You can try adding new RV parameters in the same way.
Uncertain properties (treated as RVs; see Step 7):
fc
: mean6
, stdev0.06
fy
: mean60
, stdev0.6
E
: mean30000
, stdev300
4.1.2.4. Step 4: EVT
Load Generator: Stochastic Waves - JONSWAP Spectra.
Set hydrodynamic parameters:
H = 8.1
(significant wave height)Tp = 12.7
(peak period)dt = 1
(time step)T = 300
(duration)Seed = 1
(random seed)
Force model: we assume a monopile-like structure under Wheeler-corrected Morison drag. The monopile possesses a coefficient of drag (Cd
) and drag area (Ad
) of:
Cd = 2.1
(coefficient of drag)Ad = 1
(drag area)
If you treat wave descriptive parameters as deterministic in this example, keep them as literals; otherwise enter alphabetic variable names to expose them in RV. You may try changing the peak period or significant wave height, for instance, to a random variable.

Important
Two recorders were requested in the EVT panel: one will map its recorded loads to the base node of the OpenSees structure defined in the SIM and FEM panels, whereas the other will map loads to the remaining node. More recorders can be requested to increase loading resolution and extrapolate to multi-story structures if your designated OpenSees model is equipped with more mappable nodes.
4.1.2.5. Step 5: FEM
Solver: OpenSees dynamic analysis. Defaults are usually sufficient; verify the following are consistent with your units, structural model, and anticipated load pattern:
Integration/time-step tolerance compatible with event
Algorithm and convergence tolerances suitable for nonlinear response
Damping model as needed (e.g., Rayleigh)

4.1.2.6. Step 6: EDP
We will leave selection of engineering demand parameters (EDPs) as the standard set. This defines the following engineering demand parameters (EDPs) of interest which our workflow will solve for:
Peak Floor Acceleration (PFA)
Root Mean Square Floor Acceleration (RMSA)
Peak Floor Displacement (PFD)
Peak Interstory Drift (PID)

4.1.2.7. Step 7: RV
Define the distributions for structural uncertainties:
fc
: Normal (mean6
, stdev0.06
)fy
: Normal (mean60
, stdev0.6
)E
: Normal (mean30000
, stdev300
)
Note
If you chose to promote any hydrodynamic parameters in the Event to Random Variables, ensure they are defined here.
Warning
Do not leave distributions as constant when using the Dakota UQ engine unless the variable is intentionally deterministic for this study.
Each uncertainty quantification approach uses slightly different random variable definitions. They are as follow:
Forward Sampling

Sensitivity Analysis

Important
One parameter is kept constant for the sensitivity analysis as a sanity check. The constant variable should have little to no influence on the final results, which should be reflected in the reported Sobol indices.
Reliability Analysis

Important
This reliability analysis approach only allows for one random variable to be treated as uncertain at a time. The others are kept as constants.
Surrogate Modeling

4.1.3. Simulation
This workflow is designed for local execution. It should be compatible with your personal Mac, Linux, or Windows machine. Click RUN. When complete, usually within a few minutes, the RES panel opens:
Also, this workflow may be ran remotely using the RUN at DesignSafe option. This isn’t recommended due to the light computational burden of this example, but it is an option for those with DesignSafe accounts if they would like to run this case at a larger scale on the Stampede3 supercomputer instead.
Warning
Only ask for what you need in terms of recorder count, time-step size, random variables, and UQ samples. Otherwise, you will end up with massive amounts of data which can slow simulations due to I/O constraints.
4.1.4. Analysis
Returning to our primary HydroUQ workflow, which concerns uncertainty in structural response, we may now view the final results in the RES tab.
Forward: summary statistics and correlations across realizations.

Note
In the Data tab, left- and right-click column headers to change plot axes; selecting a single column with both clicks displays frequency and CDF plots.


Sensitivity: variable influence ranking (e.g., fc vs fy vs E).

Reliability: probability of exceeding the user-defined limit state (e.g., peak interstory drift over a threshold).

Surrogate: reduced-order models (e.g., Gaussian process regression) for efficient uncertainty quantification.

For more advanced analysis, export results as a CSV file by clicking Save Table
on the upper-right of the application window. This will save the independent and dependent variable data. I.e., the Random Variables you defined and the Engineering Demand Parameters determined from the structural response per each simulation.
To save your simulation configuration with results included, click File
/ Save As
and specify a location for the HydroUQ JSON input file to be recorded to. You may then reload the file at a later time by clicking File
/ Open
. You may also send it to others by email or place it in an online repository for research reproducibility. This example’s input file is viewable at Reproducibility.
To directly share your simulation job and results in HydroUQ with other DesignSafe users, click GET from DesignSafe
. Then, navigate to the row with your job and right-click it. Select Share Job
. You may then enter the DesignSafe username or usernames (comma-separated) to share with.
Important
Sharing a job requires that the job was initially ran with an Archive System ID
(listed in the GET from DesignSafe
table’s columns) that is not designsafe.storage.default
. Any other Archive System ID
allows for sharing with DesignSafe members on the associated project. See Jobs for more details.
4.1.5. Conclusions
This example demonstrates HydroUQ’s ability to drive Forward, Sensitivity, Reliability, and Surrogate analyses for a simple OpenSees frame under JONSWAP-based stochastic wave loading with a Morison-type drag model. The results indicate which material property uncertainties (fc
, fy
, E
) most strongly influence response, and provide an estimated probability of exceeding a chosen performance limit.
4.1.6. Reproducibility
Random seed(s):
1
for forward, sensitivity, and reliability analysis,16
for surrogate modeling. (UQ/event)Model file:
Frame.tcl
App version: HydroUQ v4.2.0
System: Your personal Mac, Linux, or Windows machine. Also TACC’s Stampede3 supercomputer using a DesignSafe account and allocation.
Input: The HydroUQ input files are as follows: input.json , input_Sensitivity.json, input_Reliability.json , input_GP.json :
Click to expand the HydroUQ forward sampling input file used for this example
1{
2 "Applications": {
3 "EDP": {
4 "Application": "StandardEDP",
5 "ApplicationData": {
6 }
7 },
8 "Events": [
9 {
10 "Application": "StochasticWave",
11 "ApplicationData": {
12 },
13 "EventClassification": "Hydro"
14 }
15 ],
16 "Modeling": {
17 "Application": "OpenSeesInput",
18 "ApplicationData": {
19 "fileName": "Frame.tcl",
20 "filePath": "{Current_Dir}/."
21 }
22 },
23 "Simulation": {
24 "Application": "OpenSees-Simulation",
25 "ApplicationData": {
26 }
27 },
28 "UQ": {
29 "Application": "Dakota-UQ",
30 "ApplicationData": {
31 }
32 }
33 },
34 "DefaultValues": {
35 "driverFile": "driver",
36 "edpFiles": [
37 "EDP.json"
38 ],
39 "filenameAIM": "AIM.json",
40 "filenameDL": "BIM.json",
41 "filenameEDP": "EDP.json",
42 "filenameEVENT": "EVENT.json",
43 "filenameSAM": "SAM.json",
44 "filenameSIM": "SIM.json",
45 "rvFiles": [
46 "AIM.json",
47 "SAM.json",
48 "EVENT.json",
49 "SIM.json"
50 ],
51 "workflowInput": "scInput.json",
52 "workflowOutput": "EDP.json"
53 },
54 "EDP": {
55 "type": "StandardEDP"
56 },
57 "Events": [
58 {
59 "EventClassification": "Hydro",
60 "dragArea": 1,
61 "dragCoefficient": 2.1,
62 "exposureCategory": "NATO 5",
63 "peakPeriod": 12.7,
64 "recorderCountZ": 2,
65 "recorderOriginX": 0,
66 "significantWaveHeight": 8.1,
67 "timeDuration": 300.0,
68 "timeStep": 1.0,
69 "type": "StochasticWave",
70 "waterDepth": 30.0,
71 "tidalSLR": 3.0,
72 "stormSurgeSLR": 2.0,
73 "climateChangeSLR": 1.0,
74 "seed": 1
75 }
76 ],
77 "GeneralInformation": {
78 "NumberOfStories": 1,
79 "PlanArea": 129600,
80 "StructureType": "RM1",
81 "YearBuilt": 2025,
82 "depth": 360,
83 "height": 576,
84 "location": {
85 "latitude": 37.8715,
86 "longitude": -122.273
87 },
88 "name": "",
89 "planArea": 129600,
90 "stories": 1,
91 "units": {
92 "force": "kips",
93 "length": "in",
94 "temperature": "C",
95 "time": "sec"
96 },
97 "width": 360
98 },
99 "Modeling": {
100 "centroidNodes": [
101 1,
102 3
103 ],
104 "dampingRatio": 0.02,
105 "ndf": 3,
106 "ndm": 2,
107 "randomVar": [
108 {
109 "name": "fc",
110 "value": "RV.fc"
111 },
112 {
113 "name": "fy",
114 "value": "RV.fy"
115 },
116 {
117 "name": "E",
118 "value": "RV.E"
119 }
120 ],
121 "responseNodes": [
122 1,
123 3
124 ],
125 "type": "OpenSeesInput"
126 },
127 "Simulation": {
128 "Application": "OpenSees-Simulation",
129 "algorithm": "Newton",
130 "analysis": "Transient -numSubLevels 2 -numSubSteps 10",
131 "convergenceTest": "NormUnbalance 1.0e-2 10",
132 "dampingModel": "Rayleigh Damping",
133 "firstMode": 1,
134 "integration": "Newmark 0.5 0.25",
135 "modalRayleighTangentRatio": 0,
136 "numModesModal": -1,
137 "rayleighTangent": "Initial",
138 "secondMode": -1,
139 "solver": "Umfpack"
140 },
141 "UQ": {
142 "parallelExecution": true,
143 "samplingMethodData": {
144 "method": "LHS",
145 "samples": 40,
146 "seed": 1
147 },
148 "saveWorkDir": false,
149 "uqEngine": "Dakota",
150 "uqType": "Forward Propagation"
151 },
152 "correlationMatrix": [
153 1,
154 0,
155 0,
156 0,
157 1,
158 0,
159 0,
160 0,
161 1
162 ],
163 "localAppDir": "/home/justinbonus/SimCenter/HydroUQ/build",
164 "randomVariables": [
165 {
166 "distribution": "Normal",
167 "inputType": "Parameters",
168 "mean": 6,
169 "name": "fc",
170 "refCount": 1,
171 "stdDev": 0.6,
172 "value": "RV.fc",
173 "variableClass": "Uncertain"
174 },
175 {
176 "distribution": "Normal",
177 "inputType": "Parameters",
178 "mean": 60,
179 "name": "fy",
180 "refCount": 1,
181 "stdDev": 6,
182 "value": "RV.fy",
183 "variableClass": "Uncertain"
184 },
185 {
186 "distribution": "Normal",
187 "inputType": "Parameters",
188 "mean": 30000,
189 "name": "E",
190 "refCount": 1,
191 "stdDev": 3000,
192 "value": "RV.E",
193 "variableClass": "Uncertain"
194 }
195 ],
196 "remoteAppDir": "/Users/fmckenna/NHERI/SimCenterBackendApplications",
197 "runType": "runningLocal",
198 "workingDir": "/home/justinbonus/Documents/HydroUQ/LocalWorkDir"
199}
Click to expand the HydroUQ sensitivity analysis input file used for this example
1{
2 "Applications": {
3 "EDP": {
4 "Application": "StandardEDP",
5 "ApplicationData": {
6 }
7 },
8 "Events": [
9 {
10 "Application": "StochasticWave",
11 "ApplicationData": {
12 },
13 "EventClassification": "Hydro"
14 }
15 ],
16 "Modeling": {
17 "Application": "OpenSeesInput",
18 "ApplicationData": {
19 "fileName": "Frame.tcl",
20 "filePath": "{Current_Dir}/."
21 }
22 },
23 "Simulation": {
24 "Application": "OpenSees-Simulation",
25 "ApplicationData": {
26 }
27 },
28 "UQ": {
29 "Application": "Dakota-UQ",
30 "ApplicationData": {
31 }
32 }
33 },
34 "DefaultValues": {
35 "driverFile": "driver",
36 "edpFiles": [
37 "EDP.json"
38 ],
39 "filenameAIM": "AIM.json",
40 "filenameDL": "BIM.json",
41 "filenameEDP": "EDP.json",
42 "filenameEVENT": "EVENT.json",
43 "filenameSAM": "SAM.json",
44 "filenameSIM": "SIM.json",
45 "rvFiles": [
46 "AIM.json",
47 "SAM.json",
48 "EVENT.json",
49 "SIM.json"
50 ],
51 "workflowInput": "scInput.json",
52 "workflowOutput": "EDP.json"
53 },
54 "EDP": {
55 "type": "StandardEDP"
56 },
57 "Events": [
58 {
59 "EventClassification": "Hydro",
60 "climateChangeSLR": 1,
61 "dragArea": 1,
62 "dragCoefficient": 2.1,
63 "exposureCategory": "NATO 5",
64 "peakPeriod": 12.7,
65 "recorderCountZ": 2,
66 "recorderOriginX": 0,
67 "seed": 1,
68 "significantWaveHeight": 8.1,
69 "stormSurgeSLR": 2,
70 "tidalSLR": 3,
71 "timeDuration": 300.0,
72 "timeStep": 1.0,
73 "type": "StochasticWave",
74 "waterDepth": 30
75 }
76 ],
77 "GeneralInformation": {
78 "NumberOfStories": 1,
79 "PlanArea": 129600,
80 "StructureType": "RM1",
81 "YearBuilt": 2025,
82 "depth": 360,
83 "height": 576,
84 "location": {
85 "latitude": 37.8715,
86 "longitude": -122.273
87 },
88 "name": "",
89 "planArea": 129600,
90 "stories": 1,
91 "units": {
92 "force": "kips",
93 "length": "in",
94 "temperature": "C",
95 "time": "sec"
96 },
97 "width": 360
98 },
99 "Modeling": {
100 "centroidNodes": [
101 1,
102 3
103 ],
104 "dampingRatio": 0.02,
105 "ndf": 3,
106 "ndm": 2,
107 "randomVar": [
108 {
109 "name": "fc",
110 "value": "RV.fc"
111 },
112 {
113 "name": "fy",
114 "value": "RV.fy"
115 },
116 {
117 "name": "E",
118 "value": "RV.E"
119 }
120 ],
121 "responseNodes": [
122 1,
123 3
124 ],
125 "type": "OpenSeesInput"
126 },
127 "QoIlist": [
128 "1-PFA-1-1 Sobol' indices:",
129 "1-RMSA-1-1 Sobol' indices:",
130 "1-PFD-1-1 Sobol' indices:",
131 "1-PID-1-1 Sobol' indices:"
132 ],
133 "RVlist": [
134 "fc",
135 "fy",
136 "E"
137 ],
138 "Simulation": {
139 "Application": "OpenSees-Simulation",
140 "algorithm": "Newton",
141 "analysis": "Transient -numSubLevels 2 -numSubSteps 10",
142 "convergenceTest": "NormUnbalance 1.0e-2 10",
143 "dampingModel": "Rayleigh Damping",
144 "firstMode": 1,
145 "integration": "Newmark 0.5 0.25",
146 "modalRayleighTangentRatio": 0,
147 "numModesModal": -1,
148 "rayleighTangent": "Initial",
149 "secondMode": -1,
150 "solver": "Umfpack"
151 },
152 "UQ": {
153 "parallelExecution": true,
154 "samplingMethodData": {
155 "method": "LHS",
156 "samples": 10,
157 "seed": 1
158 },
159 "saveWorkDir": false,
160 "uqEngine": "Dakota",
161 "uqType": "Sensitivity Analysis"
162 },
163 "localAppDir": "/home/justinbonus/SimCenter/HydroUQ/build",
164 "numQoI": 4,
165 "numRV": 3,
166 "randomVariables": [
167 {
168 "distribution": "Normal",
169 "inputType": "Parameters",
170 "mean": 6,
171 "name": "fc",
172 "refCount": 1,
173 "stdDev": 0.6,
174 "value": "RV.fc",
175 "variableClass": "Uncertain"
176 },
177 {
178 "distribution": "Normal",
179 "inputType": "Parameters",
180 "mean": 60,
181 "name": "fy",
182 "refCount": 1,
183 "stdDev": 6,
184 "value": "RV.fy",
185 "variableClass": "Uncertain"
186 },
187 {
188 "distribution": "Normal",
189 "inputType": "Parameters",
190 "mean": 30000,
191 "name": "E",
192 "refCount": 1,
193 "stdDev": 3000,
194 "value": "RV.E",
195 "variableClass": "Uncertain"
196 }
197 ],
198 "remoteAppDir": "/home/justinbonus/SimCenter/HydroUQ/build",
199 "resultType": "DakotaResultsSensitivity",
200 "runType": "runningLocal",
201 "sobols_main": [
202 -0.26811465122,
203 0,
204 -0.20107572198,
205 -0.26160043411,
206 0,
207 -0.081846525429,
208 0.6540160986,
209 0,
210 0.12022198151,
211 0.65398604822,
212 0,
213 0.12020668405
214 ],
215 "sobols_tot": [
216 0.67290625318,
217 0,
218 1.1369047803,
219 0.63298578083,
220 0,
221 1.1150605194,
222 0.77084202611,
223 0,
224 0.087311491526,
225 0.77082745389,
226 0,
227 0.087307058611
228 ],
229 "spreadsheet": {
230 "data": [
231 1,
232 5.495039505,
233 73.72557645,
234 30693.88623,
235 12.4454,
236 0.13264,
237 0.0339714,
238 0.000235912,
239 2,
240 6.548849595,
241 57.87294814,
242 25898.72955,
243 12.2277,
244 0.129974,
245 0.0330572,
246 0.000229564,
247 3,
248 5.942466727,
249 63.63946781,
250 32154.30312,
251 12.2056,
252 0.129644,
253 0.0331484,
254 0.000230197,
255 4,
256 4.778111896,
257 57.58904126,
258 24749.23619,
259 11.7781,
260 0.122945,
261 0.0358595,
262 0.000249024,
263 5,
264 6.166517367,
265 68.04102428,
266 28718.39426,
267 11.7632,
268 0.122284,
269 0.0332515,
270 0.000230913,
271 6,
272 6.344864594,
273 60.50477866,
274 33147.66784,
275 11.9378,
276 0.124311,
277 0.0324741,
278 0.000225515,
279 7,
280 6.2629468,
281 67.58638787,
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283 12.3037,
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1031 ],
1032 "headings": [
1033 "Run #",
1034 "fc",
1035 "fy",
1036 "E",
1037 "1-PFA-1-1",
1038 "1-RMSA-1-1",
1039 "1-PFD-1-1",
1040 "1-PID-1-1",
1041 ""
1042 ],
1043 "isSurrogate": false,
1044 "nrv": 3,
1045 "numCol": 8,
1046 "numRow": 100
1047 },
1048 "workingDir": "/home/justinbonus/Documents/HydroUQ/LocalWorkDir"
1049}
Click to expand the HydroUQ reliability analysis input file used for this example
1{
2 "Applications": {
3 "EDP": {
4 "Application": "StandardEDP",
5 "ApplicationData": {
6 }
7 },
8 "Events": [
9 {
10 "Application": "StochasticWave",
11 "ApplicationData": {
12 },
13 "EventClassification": "Hydro"
14 }
15 ],
16 "Modeling": {
17 "Application": "OpenSeesInput",
18 "ApplicationData": {
19 "fileName": "Frame.tcl",
20 "filePath": "{Current_Dir}/."
21 }
22 },
23 "Simulation": {
24 "Application": "OpenSees-Simulation",
25 "ApplicationData": {
26 }
27 },
28 "UQ": {
29 "Application": "Dakota-UQ",
30 "ApplicationData": {
31 }
32 }
33 },
34 "DefaultValues": {
35 "driverFile": "driver",
36 "edpFiles": [
37 "EDP.json"
38 ],
39 "filenameAIM": "AIM.json",
40 "filenameDL": "BIM.json",
41 "filenameEDP": "EDP.json",
42 "filenameEVENT": "EVENT.json",
43 "filenameSAM": "SAM.json",
44 "filenameSIM": "SIM.json",
45 "rvFiles": [
46 "AIM.json",
47 "SAM.json",
48 "EVENT.json",
49 "SIM.json"
50 ],
51 "workflowInput": "scInput.json",
52 "workflowOutput": "EDP.json"
53 },
54 "EDP": {
55 "type": "StandardEDP"
56 },
57 "Events": [
58 {
59 "EventClassification": "Hydro",
60 "climateChangeSLR": 1,
61 "dragArea": 1,
62 "dragCoefficient": 2.1,
63 "exposureCategory": "NATO 5",
64 "peakPeriod": 12.7,
65 "recorderCountZ": 2,
66 "recorderOriginX": 0,
67 "seed": 1,
68 "significantWaveHeight": 8.1,
69 "stormSurgeSLR": 2,
70 "tidalSLR": 3,
71 "timeDuration": 300.0,
72 "timeStep": 1.0,
73 "type": "StochasticWave",
74 "waterDepth": 30
75 }
76 ],
77 "GeneralInformation": {
78 "NumberOfStories": 1,
79 "PlanArea": 129600,
80 "StructureType": "RM1",
81 "YearBuilt": 2025,
82 "depth": 360,
83 "height": 576,
84 "location": {
85 "latitude": 37.8715,
86 "longitude": -122.273
87 },
88 "name": "",
89 "planArea": 129600,
90 "stories": 1,
91 "units": {
92 "force": "kips",
93 "length": "in",
94 "temperature": "C",
95 "time": "sec"
96 },
97 "width": 360
98 },
99 "Modeling": {
100 "centroidNodes": [
101 1,
102 3
103 ],
104 "dampingRatio": 0.02,
105 "ndf": 3,
106 "ndm": 2,
107 "randomVar": [
108 {
109 "name": "fc",
110 "value": "RV.fc"
111 },
112 {
113 "name": "fy",
114 "value": "RV.fy"
115 },
116 {
117 "name": "E",
118 "value": "RV.E"
119 }
120 ],
121 "responseNodes": [
122 1,
123 3
124 ],
125 "type": "OpenSeesInput"
126 },
127 "Simulation": {
128 "Application": "OpenSees-Simulation",
129 "algorithm": "Newton",
130 "analysis": "Transient -numSubLevels 2 -numSubSteps 10",
131 "convergenceTest": "NormUnbalance 1.0e-2 10",
132 "dampingModel": "Rayleigh Damping",
133 "firstMode": 1,
134 "integration": "Newmark 0.5 0.25",
135 "modalRayleighTangentRatio": 0,
136 "numModesModal": -1,
137 "rayleighTangent": "Initial",
138 "secondMode": -1,
139 "solver": "Umfpack"
140 },
141 "UQ": {
142 "parallelExecution": true,
143 "reliabilityMethodData": {
144 "integrationMethod": "First Order",
145 "levelType": "Probability Levels",
146 "localMethod": "Mean Value",
147 "method": "Local Reliability",
148 "mpp_Method": "no_approx",
149 "probabilityLevel": [
150 0.99,
151 0.98,
152 0.95,
153 0.90,
154 0.85,
155 0.80,
156 0.75,
157 0.70,
158 0.65,
159 0.60,
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161 0.50,
162 0.45,
163 0.40,
164 0.35,
165 0.30,
166 0.25,
167 0.20,
168 0.15,
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392}
Click to expand the HydroUQ surrogate modeling input file used for this example
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1600 0.1298842849,
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1734 27058.44888,
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1800 0.1304640818,
1801 0.03368781337,
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1803 202,
1804 5.457490874,
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1806 29731.59765,
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1814 29709.3009,
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1820 7.695402011,
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1822 31429.62952,
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1826 0.0002146537295,
1827 205,
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1830 28553.26098,
1831 12.34122808,
1832 0.132211296,
1833 0.03330269711,
1834 0.0002312680767,
1835 206,
1836 6.593297171,
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1838 26628.35034,
1839 12.30988099,
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1844 5.841348636,
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1850 0.000231313712,
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1852 6.034397209,
1853 59.89262854,
1854 28842.97243,
1855 12.52631325,
1856 0.1324838821,
1857 0.03342357445,
1858 0.0002321078547,
1859 209,
1860 6.647750178,
1861 64.50253419,
1862 31815.86211,
1863 12.31604196,
1864 0.1301571357,
1865 0.03222124373,
1866 0.000223758777,
1867 210,
1868 5.520332176,
1869 56.19032019,
1870 29278.38367,
1871 12.03932051,
1872 0.1275767345,
1873 0.03411403341,
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1875 211,
1876 6.534533606,
1877 68.40192424,
1878 30897.78564,
1879 12.27798893,
1880 0.1302493436,
1881 0.03248095962,
1882 0.0002255624624,
1883 212,
1884 6.224890603,
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1886 31920.54469,
1887 12.47135848,
1888 0.1341680124,
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1891 213,
1892 5.407478961,
1893 51.67836241,
1894 33427.82453,
1895 12.3129312,
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1899 214,
1900 6.699400785,
1901 59.38141453,
1902 34758.35,
1903 12.32224574,
1904 0.1304637211,
1905 0.03181546907,
1906 0.0002209376659,
1907 215,
1908 5.883408921,
1909 71.79826475,
1910 27517.82248,
1911 12.29026729,
1912 0.1304068766,
1913 0.03380538696,
1914 0.0002347629789,
1915 216,
1916 6.869112583,
1917 51.017966,
1918 36058.05468,
1919 12.34467871,
1920 0.1309313318,
1921 0.03144729501,
1922 0.0002183953136,
1923 217,
1924 6.875096129,
1925 60.52710746,
1926 30220.84872,
1927 12.26823065,
1928 0.1298484721,
1929 0.03210215452,
1930 0.0002229326616,
1931 218,
1932 6.543429778,
1933 59.9819927,
1934 30537.20622,
1935 11.93053925,
1936 0.1239253492,
1937 0.03251125107,
1938 0.0002257733253,
1939 219,
1940 5.679407379,
1941 67.49562201,
1942 31927.62531,
1943 12.53615298,
1944 0.1335156653,
1945 0.03354962142,
1946 0.0002329834213,
1947 220,
1948 6.751859781,
1949 54.72247236,
1950 29043.35994,
1951 12.14833805,
1952 0.1279488278,
1953 0.03240406732,
1954 0.000225028793,
1955 221,
1956 6.418946185,
1957 61.40071982,
1958 28796.90655,
1959 12.12842975,
1960 0.1272162605,
1961 0.03288887219,
1962 0.000228394837,
1963 222,
1964 5.891325535,
1965 61.69033526,
1966 32630.81292,
1967 11.95218955,
1968 0.1251539136,
1969 0.0331622689,
1970 0.0002302933218,
1971 223,
1972 5.883518633,
1973 42.07546257,
1974 34388.70468,
1975 12.27102644,
1976 0.1304146348,
1977 0.03296096167,
1978 0.0002288899627,
1979 224,
1980 5.964536154,
1981 55.42942163,
1982 31784.96825,
1983 12.37977531,
1984 0.1326085301,
1985 0.03316220694,
1986 0.0002302928882,
1987 225,
1988 6.228789997,
1989 58.32753036,
1990 28475.32149,
1991 12.43164968,
1992 0.1326000439,
1993 0.03319332922,
1994 0.0002305094287,
1995 226,
1996 6.967162845,
1997 65.11239071,
1998 27051.97551,
1999 12.27511403,
2000 0.1300728787,
2001 0.03234642926,
2002 0.0002246227018,
2003 227,
2004 5.956819086,
2005 57.72493595,
2006 27714.54769,
2007 11.71878366,
2008 0.1223248102,
2009 0.03367469153,
2010 0.0002338520161,
2011 228,
2012 6.187878919,
2013 59.967808,
2014 25147.16255,
2015 12.20067395,
2016 0.1292485011,
2017 0.03366172808,
2018 0.0002337620913,
2019 229,
2020 6.26780432,
2021 66.94599943,
2022 27328.46519,
2023 12.41260678,
2024 0.132390136,
2025 0.03327837702,
2026 0.000231098528,
2027 230,
2028 5.954762736,
2029 58.16716436,
2030 30212.561,
2031 12.33950087,
2032 0.131289142,
2033 0.03336827155,
2034 0.0002317240342,
2035 231,
2036 5.457750164,
2037 48.7587858,
2038 28458.79611,
2039 12.2410387,
2040 0.1303103815,
2041 0.03431164671,
2042 0.0002382801722,
2043 232,
2044 6.580318657,
2045 63.88068856,
2046 30795.84927,
2047 12.26402873,
2048 0.12894149,
2049 0.03243085565,
2050 0.0002252146874,
2051 233,
2052 5.799449764,
2053 68.74669683,
2054 31441.47839,
2055 12.35165408,
2056 0.1315529997,
2057 0.03343810487,
2058 0.0002322090535,
2059 234,
2060 6.611825336,
2061 62.19946589,
2062 25422.24305,
2063 12.19024732,
2064 0.1287553626,
2065 0.03302686936,
2066 0.000229350576,
2067 235,
2068 6.355710588,
2069 59.94368644,
2070 24854.63588,
2071 12.17594241,
2072 0.1287673784,
2073 0.03345735747,
2074 0.0002323429525,
2075 236,
2076 6.825540116,
2077 61.03742016,
2078 30067.75446,
2079 12.24022701,
2080 0.1294197907,
2081 0.03218587676,
2082 0.0002235140017,
2083 237,
2084 6.627101973,
2085 66.05966558,
2086 28625.57702,
2087 12.12670984,
2088 0.1280498269,
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2090 0.0002265462785,
2091 238,
2092 5.962705033,
2093 66.06977305,
2094 28388.77358,
2095 12.30650393,
2096 0.1316181153,
2097 0.03358234301,
2098 0.0002332100344,
2099 239,
2100 5.926656169,
2101 57.63548362,
2102 29398.30072,
2103 12.31440902,
2104 0.130040926,
2105 0.03350876722,
2106 0.0002326997853,
2107 240,
2108 5.808245819,
2109 75.32143741,
2110 30966.48127,
2111 12.2769678,
2112 0.1302382646,
2113 0.03348413731,
2114 0.0002325283415,
2115 241,
2116 6.077951313,
2117 60.18680272,
2118 34645.68488,
2119 12.06650885,
2120 0.1263020698,
2121 0.03266123311,
2122 0.0002268140126,
2123 242,
2124 6.60182194,
2125 58.46751025,
2126 33518.15701,
2127 12.06702824,
2128 0.1261001772,
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2130 0.0002228181612,
2131 243,
2132 5.887071798,
2133 63.02636812,
2134 33376.54871,
2135 12.0913411,
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2138 0.0002297062694,
2139 244,
2140 5.782308661,
2141 64.18442419,
2142 29232.6025,
2143 12.06349766,
2144 0.1279976331,
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2147 245,
2148 6.016288335,
2149 64.68263705,
2150 34592.28074,
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2152 0.1316406008,
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2155 246,
2156 5.661149007,
2157 57.26324813,
2158 35777.29698,
2159 12.3630587,
2160 0.1315964674,
2161 0.03310324767,
2162 0.0002298853519,
2163 247,
2164 5.101804252,
2165 78.17592487,
2166 30628.0596,
2167 12.22727906,
2168 0.1298136494,
2169 0.03456598266,
2170 0.0002400161878,
2171 248,
2172 5.711590588,
2173 66.65417379,
2174 27944.14477,
2175 12.23884236,
2176 0.1300843487,
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2178 0.0002361282059,
2179 249,
2180 6.010652108,
2181 63.38374208,
2182 31285.92924,
2183 12.2323095,
2184 0.1292982082,
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2187 250,
2188 5.871874626,
2189 60.43856115,
2190 35876.59883,
2191 12.30305113,
2192 0.1303419387,
2193 0.032798188,
2194 0.0002277652052,
2195 251,
2196 6.441778955,
2197 61.72993143,
2198 26703.92737,
2199 11.77294658,
2200 0.1226128431,
2201 0.03310953251,
2202 0.0002299261323,
2203 252,
2204 5.817126394,
2205 63.40203838,
2206 28726.56959,
2207 12.0105748,
2208 0.1270055783,
2209 0.03375011489,
2210 0.0002343751521,
2211 253,
2212 6.336943933,
2213 63.24556498,
2214 32650.7976,
2215 12.33331003,
2216 0.1312907849,
2217 0.03254330154,
2218 0.0002259949793,
2219 254,
2220 6.25073701,
2221 50.86563681,
2222 27200.66261,
2223 12.04001813,
2224 0.1271520122,
2225 0.03331807813,
2226 0.0002313755628,
2227 255,
2228 5.76092476,
2229 62.71362131,
2230 27803.52594,
2231 12.18692791,
2232 0.1296427635,
2233 0.03394807082,
2234 0.0002357499192,
2235 256,
2236 5.292696202,
2237 59.26697764,
2238 32959.51829,
2239 12.70301972,
2240 0.1374497554,
2241 0.033980738,
2242 0.0002359772933,
2243 257,
2244 7.134065636,
2245 66.14371903,
2246 31535.13545,
2247 12.2087605,
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2250 0.0002195321906,
2251 258,
2252 5.412254441,
2253 61.41297749,
2254 25106.55964,
2255 12.23929442,
2256 0.1302482537,
2257 0.03481738893,
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2259 259,
2260 5.802703861,
2261 56.39092107,
2262 30603.55045,
2263 12.03085098,
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2267 260,
2268 6.272391987,
2269 52.72010411,
2270 33337.1837,
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