4.1. Stochastic Wave Loading on a Frame Structure - JONSWAP Spectra

Problem files

Github

4.1.1. Overview

Stochastic JONSWAP wave spectra produced in HydroUQ, applying the welib Python package.

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) and seed (e.g., 1) for repeatability.

HydroUQ UQ panel with Dakota engine; Forward methods selected with seed = 1.
  • Sensitivity: choose a sampling method (e.g., Monte-Carlo or Latin Hyper Cube) to aid in ranking influence of fc, fy, and E.

HydroUQ UQ panel with Dakota engine; Sensitivity methods selected with seed = 1.
  • 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).

HydroUQ UQ panel with Dakota engine; Reliability methods selected with seed = 1.
  • Surrogate: choose a Gaussian process regression (GPR) or polynomial chaos expansion (PCE) model to build a reduced-order model for efficient uncertainty quantification.

HydroUQ UQ panel with Dakota engine; Surrogate methods selected with seed = 16.

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)

General Information panel showing project name, metadata, and unit selections.

4.1.2.3. Step 3: SIM

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

Schematic of a 2D three-degree-of-freedom portal frame subjected to horizontal wave-induced drag forces along the column line, with parameters taken from a JONSWAP spectrum.

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.

SIM panel referencing an OpenSees model file (Frame.tcl) with fields for material properties set as variable names fc, fy, and E.

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: mean 6, stdev 0.06

  • fy: mean 60, stdev 0.6

  • E: mean 30000, stdev 300

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.

EVT panel with JONSWAP selected, H=8.1, Tp=12.7, dt=1, T=300, seed=1, and drag model parameters Cd=2.1, Ad=1.

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)

FEM panel for OpenSees with dynamic analysis options, integration/time step, algorithm, and damping model.

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)

EDP panel showing standard engineering demand parameters selection.

4.1.2.7. Step 7: RV

Define the distributions for structural uncertainties:

  • fc: Normal (mean 6, stdev 0.06)

  • fy: Normal (mean 60, stdev 0.6)

  • E: Normal (mean 30000, stdev 300)

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

RV panel listing fc, fy, and E with Normal distributions and specified means and standard deviations.
  • Sensitivity Analysis

RV panel listing fc and E with Normal distributions and specified means and standard deviations. fy is kept constant.

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

RV panel listing fc with a Normal distribution and specified mean and standard deviation. fy and E are kept constant.

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

RV panel listing fc, fy, and E with Normal distributions and specified means and standard deviations.

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.

Results summary highlighting statistics from Forward UQ.

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.

Results data view with histogram and tabular outputs for key response measures.
Results data view with CDF and tabular outputs for key response measures.
  • Sensitivity: variable influence ranking (e.g., fc vs fy vs E).

Results summary highlighting statistics from sensitivity rankings.
  • Reliability: probability of exceeding the user-defined limit state (e.g., peak interstory drift over a threshold).

Results summary highlighting statistics from reliability metrics for the drift-based limit state.
  • Surrogate: reduced-order models (e.g., Gaussian process regression) for efficient uncertainty quantification.

Results scatter highlighting statistics from Surrogate UQ

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"
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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        {
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 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": {
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 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": [
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151                0.98,
152                0.95,
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169                0.10,
170                0.05,
171                0.02,
172                0.01
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174        },
175        "saveWorkDir": false,
176        "uqEngine": "Dakota",
177        "uqType": "Reliability Analysis"
178    },
179    "localAppDir": "/home/justinbonus/SimCenter/HydroUQ/build",
180    "randomVariables": [
181        {
182            "distribution": "Normal",
183            "inputType": "Parameters",
184            "mean": 6,
185            "name": "fc",
186            "refCount": 1,
187            "stdDev": 0.6,
188            "value": "RV.fc",
189            "variableClass": "Uncertain"
190        },
191        {
192            "distribution": "Normal",
193            "inputType": "Parameters",
194            "mean": 60,
195            "name": "fy",
196            "refCount": 1,
197            "stdDev": 6,
198            "value": "RV.fy",
199            "variableClass": "Uncertain"
200        },
201        {
202            "distribution": "Normal",
203            "inputType": "Parameters",
204            "mean": 30000,
205            "name": "E",
206            "refCount": 1,
207            "stdDev": 3000,
208            "value": "RV.E",
209            "variableClass": "Uncertain"
210        }
211    ],
212    "remoteAppDir": "/home/justinbonus/SimCenter/HydroUQ/build",
213    "resultType": "DakotaResultsReliability",
214    "runType": "runningLocal",
215    "spreadsheet": {
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374        "headings": [
375            "1-PFA-1-1",
376            "Probability level: 1-PFA-1-1",
377            "Reliability index: 1-PFA-1-1",
378            "1-RMSA-1-1",
379            "Probability level: 1-RMSA-1-1",
380            "Reliability index: 1-RMSA-1-1",
381            "1-PFD-1-1",
382            "Probability level: 1-PFD-1-1",
383            "Reliability index: 1-PFD-1-1",
384            "1-PID-1-1",
385            "Probability level: 1-PID-1-1",
386            "Reliability index: 1-PID-1-1"
387        ],
388        "numCol": 12,
389        "numRow": 13
390    },
391    "workingDir": "/home/justinbonus/Documents/HydroUQ/LocalWorkDir"
392}
Click to expand the HydroUQ surrogate modeling 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": {
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  86            "longitude": -122.273
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  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": {
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 115            },
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 118                "value": "RV.E"
 119            }
 120        ],
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 130        "analysis": "Transient -numSubLevels 2 -numSubSteps 10",
 131        "convergenceTest": "NormUnbalance 1.0e-2 10",
 132        "dampingModel": "Rayleigh Damping",
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 138        "secondMode": -1,
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 152        },
 153        "saveWorkDir": true,
 154        "uqEngine": "Dakota",
 155        "uqType": "Forward Propagation"
 156    },
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