Streamlined Process for Soil-Structure Interaction Analysis of Nuclear Facilities Utilizing GTSTRUDL and MTR/SASSI Wei Li, Michael Perez, Mansour Tabatabaie, and Basilio Sumodobila June 23, 2011 GTSTRUDL Users Group Meeting 2011 Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS Introduction • Key advantages of this streamlined process • Streamlined process for SSI: – – – – – Development of structural FE model in GTSTRUDL Conversion of structural FE model from GTSTRUDL to MTR/SASSI Verification of model conversion Development of SSI model and SSI analysis using MTR/SASSI Seamless transfer of SSI analysis results to GTSTRUDL for postprocessing/plotting • Sample analysis results from two category I nuclear structures GTSTRUDL Users Group Meeting 2011 Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS Key Advantages of this Streamlined Process • GTSTRUDL and MTR/SASSI structural models are carbon copies – Single structural FE model • Stress analysis using GTSTRUDL • SSI analysis using MTR/SASSI – Same FE mesh, element numbering, node numbering, etc. – Allows efficient model development and refinement and for seamless transfer of pre- and post-processing data and results between the two programs – Simplifies transfer of results such as maximum nodal accelerations between the two programs • Large scale structural FE model – Eliminates need for separate reduced model for SSI analysis – Captures out-of-plane floor and wall dynamic responses • Allows large scale SSI models with over 100,000 nodes to be efficiently analyzed • Simplifies QA process due to identical structural FE models GTSTRUDL Users Group Meeting 2011 Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS GTSTRUDL - MTR/SASSI Streamlined Process GTSTRUDL Structural FE MODEL MTR/ SASSI Perform fixed base static and dynamic analyses for verification of model conversion Structural FE MODEL Develop & QA GTSTRUDL structural model Convert model “as is” to MTR/SASSI structural model Add excavated soil model & soil layers to complete SSI model MTR/ SASSI Structural FE MODEL MTR/ SASSI EXCAVATED SOIL FE MODEL GTSTRUDL Users Group Meeting 2011 MTR/ Perform SSI analysis and extract results for plotting using GTSTRUDL SASSI SOIL LAYERS Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS Development of FE model in GTSTRUDL • Construct linear-elastic structural model – Use elements available in MTR/SASSI (shells, solids, beams, etc.) – Beam elements should be discretized into desired FE mesh – Include added masses, applied loads, and load combinations • Structural FE model should satisfy passing frequency requirements for SSI analysis • Perform fixed base static analysis – Obtain dead load reactions to verify model geometry, material densities, and added masses – Obtain reactions for other load cases to verify applied loads • Refine model as needed to capture target frequencies and design iterations GTSTRUDL Users Group Meeting 2011 Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS Model Conversion: GTSTRUDL to MTR/SASSI • Export structural model from GTSTRUDL database – Nodal coordinates – Elements – shells, solids, plates, etc • Element connectivity • Material properties • Element thickness for shell elements – Members (Beam elements) • Member connectivity • Material and section properties • Beta angles – Springs • Spring connectivity • Spring stiffness and damping constants – Other types of elements also available in MTR/SASSI – Nodal masses for added masses • Masses for elements/members included in structural FE model by MTR/SASSI GTSTRUDL Users Group Meeting 2011 Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS Model Conversion: GTSTRUDL to MTR/SASSI Export: GTSTRUDL database files (*.dbx): joints, members, elements, materials, etc GTSTRUDL model Import: database files (*.dbx) files to Excel for formatting into MTR/SASSI syntax GTSTRUDL Users Group Meeting 2011 Export/ Combine into MTR/SASSI HOUSE input file (_h.dat) Copyright © 2011 SC Solutions, Inc, All Rights Reserved MTR/ SASSI Structural FE MODEL SC SOLUTIONS Verification of Model Conversion • Structural FE models – GTSTRUDL model – MTR/SASSI model • Fixed-base static analysis results – Compare reactions for all load cases considered • Fixed-base dynamic analysis results – Identify nodes of interest (base mat, walls, roof, etc) – Extract acceleration time histories at selected nodes – Compute and plot acceleration response spectra at selected nodes GTSTRUDL Users Group Meeting 2011 Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS Comparison of Acceleration Response Spectra – Wall • Wall normal to X-axis (out of plane response) GTSTRUDL Users Group Meeting 2011 Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS Comparison of Acceleration Response Spectra – Wall • Wall normal to Y-axis (out of plane response) GTSTRUDL Users Group Meeting 2011 Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS Comparison of Acceleration Response Spectra – Intermediate Floor • Floor slab normal to Z-axis (out of plane response) GTSTRUDL Users Group Meeting 2011 Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS Comparison of Acceleration Response Spectra – Beam GTSTRUDL Users Group Meeting 2011 Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS SSI analysis using MTR/SASSI • Development of SSI model – Add soil layers and properties – Define interaction nodes – Define excavated soil elements • Perform time history SSI analysis and extract results Add excavated soil model & soil layers to complete SSI model MTR/ SASSI Structural FE MODEL Interaction nodes MTR/ SASSI EXCAVATED SOIL FE MODEL GTSTRUDL Users Group Meeting 2011 MTR/ Copyright © 2011 SC Solutions, Inc, All Rights Reserved SASSI SOIL LAYERS SC SOLUTIONS Seamless Transfer of MTR/SASSI Analysis Results to GTSTRUDL MTR/SASSI SSI analysis results 1. Nodal forces and moments 2. Nodal disps, velocities, and accelerations (results extracted at each time step and maximum results) GTSTRUDL Users Group Meeting 2011 GTSTRUDL 1. Results plotting 2. Additional postprocessing 3. Input for pseudo-static stress analysis (Can be read directly by GTSTRUDL with proper GTSTRUDL commands since node numbers and models are identical) Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS Typical SSI analysis results • Results plotting – Maximum nodal acceleration and dynamic soil pressure contours – In-structure time histories (ISTH) of accelerations, velocities, displacements, and dynamic soil pressures • Additional post-processing – – – – In-structure response spectra (ISRS) Sliding and overturning stability analysis results Base shears and moments Inter-story forces and moments • Input for stress analysis – Inertia forces from MTR/SASSI analysis can be imported to GTSTRUDL for pseudo-static analysis to calculate member/element forces and stresses for structural design GTSTRUDL Users Group Meeting 2011 Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS Streamlined procedure used to evaluate two category I nuclear structures • Seismic SSI analysis of 2 category I structures in a nuclear power plant currently undergoing certification • Linear-elastic structural FE models constructed using: – PLATE elements and SPACE FRAME members in GTSTRUDL – PLATE/SHELL and 3D BEAM elements in MTR/SASSI • Live and dead loads including equipment weight • Added hydrodynamic masses • SSI analysis performed for combination of ground motions and soil conditions GTSTRUDL Users Group Meeting 2011 Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS Example 1 • Near surface category I nuclear structure with shear keys MTR/SASSI Excavated Soil Model GTSTRUDL/MTR/SASSI Structural Model Structural model: 14420 nodes SSI model: 17887 nodes GTSTRUDL/MTR/SASSI shear Key Model GTSTRUDL Users Group Meeting 2011 Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS Example 2 • Deeply-embedded category I nuclear structure GTSTRUDL/ MTR/SASSI Structural Model GTSTRUDL/ MTR/SASSI Longitudinal Cut View Structural model: 15275 nodes SSI model: 32133 nodes MTR/SASSI Excavated GTSTRUDL Users Group Meeting 2011 Soil Model Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS Maximum Accelerations • Table of maximum accelerations at key locations • Near surface structure Building Location Elevation (ft) Node No. Basemat SW Corner Basemat NE Corner Basemat Center -6.00 Basemat Equipment ˝ Fan Room at Elevation of 51.5 feet +50.50 1001 1501 5757 1172 1395 3056 3396 3380 3040 GTSTRUDL Users Group Meeting 2011 ˝ ˝ Maximum Absolute Accelerations X-Dir. Y-Dir. Z-Dir. 0.422 0.376 0.464 0.409 0.367 0.481 0.421 0.370 0.489 0.421 0.375 0.472 0.415 0.379 0.436 0.574 0.507 0.567 0.579 0.486 0.464 0.604 0.476 0.504 0.586 0.498 0.480 Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS Plot of Maximum Accelerations (X-direction) Near surface structure GTSTRUDL Users Group Meeting 2011 Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS Plot of Maximum Accelerations (Y-direction) Deeply-embedded structure GTSTRUDL Users Group Meeting 2011 Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS Plot of Maximum Accelerations (Z-direction) Deeply-embedded structure GTSTRUDL Users Group Meeting 2011 Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS In-Structure Spectral Acceleration Response: Base-mat 2.0 In-Structure In-Structure Reference Outcrop Motion Reference Outcrop Motion Y-Spectral Acceleration (g's) X-Spectral Acceleration (g's) 2.0 1.5 1.0 Damping = 5% 0.5 1.5 1.0 Damping = 5% 0.5 0.0 0.0 0.1 1 10 100 0.1 1 Frequency (Hz) 10 100 Frequency (Hz) 2.0 In-Structure Z-Spectral Acceleration (g's) Reference Outcrop Motion 1.5 • Near surface structure • Envelope accelerations 1.0 Damping = 5% 0.5 0.0 0.1 1 10 100 Frequency (Hz) GTSTRUDL Users Group Meeting 2011 Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS In-Structure Spectral Acceleration Response: Wall Platform Supports 4.0 In-Structure In-Structure Reference Outcrop Motion Reference Outcrop Motion Y-Spectral Acceleration (g's) X-Spectral Acceleration (g's) 4.0 3.0 2.0 Damping = 5% 1.0 3.0 2.0 Damping = 5% 1.0 0.0 0.0 0.1 1 10 100 0.1 1 Frequency (Hz) 10 100 Frequency (Hz) 2.5 Z-Spectral Acceleration (g's) In-Structure Reference Outcrop Motion 2.0 1.5 1.0 • Deeply-embedded structure • Envelope accelerations Damping = 5% 0.5 0.0 0.1 1 10 100 Frequency (Hz) GTSTRUDL Users Group Meeting 2011 Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS Maximum Absolute Total Inter-story Dynamic X-Shear Force and YY-Overturning Moment Diagram My 80 80 70 70 60 60 50 50 40 40 Elevation (ft) Elevation (ft) Vx 30 30 20 20 10 10 0 0 -10 -10 -20 -20 0 10,000 20,000 GTSTRUDL Users Group Meeting 2011 0 500,000 1,000,000 My (K-ft) Vx (Kips) Total 30,000 Net Total Copyright © 2011 SC Solutions, Inc, All Rights Reserved Net 1,500,000 Near surface structure SC SOLUTIONS Maximum Absolute Total Inter-story Dynamic Y-Shear Force and XX-Overturning Moment Diagram Mx 80 80 70 70 60 60 50 50 40 40 Elevation (ft) Elevation (ft) Vy 30 30 20 20 10 10 0 0 -10 -10 -20 -20 0 5,000 10,000 15,000 GTSTRUDL Users Group Meeting 2011 0 200,000 400,000 600,000 Mx (K-ft) Vy (Kips) Total 20,000 Net Total Copyright © 2011 SC Solutions, Inc, All Rights Reserved Net 800,000 Near surface structure SC SOLUTIONS Sliding Stability Analysis • Near surface structure • D/C ratios and Factors of Safety • Maximum values • Values at each time step • Computes min base friction coefficient to meet F.S. = 1.1 GTSTRUDL Users Group Meeting 2011 Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS Overturning Stability Analysis • Deeply-embedded structure • D/C ratios and Factors of Safety • Maximum values • Values at each time step GTSTRUDL Users Group Meeting 2011 Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS Summary • GTSTRUDL and MTR/SASSI structural models are carbon copies – Single structural FE model • Stress analysis using GTSTRUDL • SSI analysis using MTR/SASSI – Same FE mesh, element numbering, node numbering, etc. – Allows efficient model development and refinement and for seamless transfer of pre- and post-processing data and results between the two programs – Simplifies transfer of results such as maximum nodal accelerations between the two programs • Large scale structural FE model – Eliminates need for separate reduced model for SSI analysis – Captures out-of-plane floor and wall dynamic responses • Allows large scale SSI models with over 100,000 nodes to be efficiently analyzed • Simplifies QA process due to identical structural FE models GTSTRUDL Users Group Meeting 2011 Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS Questions? GTSTRUDL Users Group Meeting 2011 Copyright © 2011 SC Solutions, Inc, All Rights Reserved SC SOLUTIONS