Minutes of PEER Van Nuys Testbed Meeting Nov. 8, 02 Deliverables for year six (incomplete, based on discussion): 1- General Issues: i) ii) iii) iv) Solving the M-P-V problem Shear wall. Develop a shear wall model in Opensees. It is essential if we want to do assessment of the Van Nuys retrofit. Post processing tools in Opensees to extract ALL relevant information. Better models for piles and shallow foundations. 2- Beam-Column Joints modeling in Van Nuys model (Prof. Lowes) Three options exist or to be implemented: i) Scissors elements ii) The steel panel zone element (Krawinkler) iii) Multi-spring joint model iv) Prof. Deierlein’s model And what to do to get fragility curves! 3- Simulating column axial failure and consequences Includes the following actions: i) Finalize development and implementation of column model including axial “failure”. ii) Define a subgroup for this purpose (Prof. Deierlein, Prof. Lowes, and Ken Elwood) iii) Check validation of model. iv) Do the modeling in Van Nuys. 4- Posting more sensitivity results on the webpage (Prof. Lowes) Calls for a meeting including Prof. Lowes and Prof. Miranda to come up with the parameters needed in the sensitivity study. Currently, the following parameters are considered: i) ii) iii) Effective moment of inertia (extent of cracking) Restraints at base connection Types of elements: linear elastic, equivalent elastic, concentrated plasticity, distributed plasticity, etc 1 5- Show that soil structure interaction will not have a significant effect on the Van Nuys structures response. Considering the results presented by T. Nagae and Prof. Kutter, it is quite likely that soil structure interaction will not have a significant effect on the structural response of the existing structure. This should be verified with the Opensees model of Van Nuys structure (spring properties to be provided by B. Kutter to L. Lowes). 6- Deliverables by Prof. Deierlein i) ii) iii) Column shear element in Opensees Column axial failure element in Opensees Post processing material for Opensees? 7- Likelihood of column axial failure and consequences of failure in Van Nuys building (Prof. Lowes) 8- Van Nuys testbed report Deliverables and schedule identified in report outline – see web site. 9- Down time modeling (Prof. Miranda) Miranda is “overloaded”. Option 1 = no downtime modeling for Van Nuys Option 2 = K. Porter to test his approach Option 3 = Prof. Comerio to test her approach 10- Documentation of past experimental data in a format suitable for DM modeling (Prof. Lehman) The PEER experimental results need to be brought into a format suitable for damage modeling. First, such a format needs to be established. Should involve i) Robertson ii) Stanton iii) Wallace iv) Eberhard Develop a questionnaire for obtaining expert opinions on repairing damaged components (scenario, costs, repair action, etc.). Also, analysts and experimentalists should arrive at measures that both can measure/predict (strain? curvature? crack size? rotation? etc.) 2 Minutes of General Discussion: Structural Model: Prof. Lowes: Opensees 2D models with interior and exterior frames are ready. Shear capacity of columns is calculated, and failure is modeled by limiting flexural strength.. Splice failure is important and is considered in the Van Nuys model. In the lumped plasticity model, the elastic characteristics of the intermediate beam-column element are modified till the first natural period of the system is 1.5 sec.?? The reduction factor for Igross is 0.5 at the moment. The current model assumes rigid elements at the joints with the beam and column width dimensions (not a centerline model) Try to model soil-foundation interaction with p-y springs and see what will happen to the response. It is believed that there will be not much change but this will be a sanity check. Will model the joints by using different elements developed in Opensees: o Scissors elements o Multi-spring joint model o Prof. Deierlein’s model A subgroup of Prof. Deierlein and Prof. Lowes will meet to decide on this matter. Will model the column axial failure (if possible) by using Ken’s models. His models do exist now but need validation. Prof. Miranda: Has done some sensitivity study on the period of the structure and reported it is between 0.5 to 2.0 seconds. He believes that 1.5 seconds is a reasonable estimate for the pre-Northridge condition. The building has gone through 1.5% drift during Northridge. It is believed that it will collapse at 2% drift. Prof. Trifunac has reported large soil structure interaction which Prof. Miranda believes is not realistic. He wants to list the important parameters for sensitivity analysis. Also, believes in some cases it may be necessary to consider combinations of parameters. To be posted on the web site. He proposed to introduce another integral to the triple integral of PEER to consider the uncertainty in the structural model. 3 Prof. Cornell believed it is not necessary as it will be taken care of in the IM-EDP evaluation. Nonstructural component modeling is important but this calls for a lot of work specially using a 3D model. It is shelved for later. Prof. Kutter: The soil is pretty stiff and uniform in this project but he does not know where the bedrock is. According to the slides he showed, there is not that much difference in the lower level soil response and surface soil response around the 1.5 second period, but at lower periods were the higher modes are, differences do exist. The bottom line is the soil depth will not have much influence. He liked what Takuya Nagae had done and was interested to see his results. It was decided to model the soil with p-y springs and see what will be the effect on the structure – to confirm that there will be not much change in the response by modeling the soil. Performance Metrics and Decision Variables Professor May gave a presentation that is reproduced on the following pages. 4 PEER Testbed Decision Variable Discussion Summary of Meeting 10/22/02 – P. May Notes This note summarizes a meeting among “social science types” (Stephanie Chang, Anthony Falit-Baiamonte, Ufuk Inces, Peter May, and Jack Meszaros) with telephone coordination with Keith Porter. Background material for this discussion is a summary of past research and testbed discussions of dv’s prepared by P. May dated 9/24/02. Issues Discussed 1. Relevant decision variables and their operationalization for the PEER PBEE methodology. 2. Decision variables and their operationalization for the LSA and VN testbeds. 3. Presentation of analytic findings from PEER testbed analyses in ways that would be meaningful to relevant decision-makers. PEER PBEE Relevant Decision Variables The generic considerations that the PEER methodology should be addressing have been identified through our research and discussions in evaluating the seismic performance of a single facility are: 1. Life-safety calculated as deaths and serious injuries. 2. Functionality calculated as the amount of time (days, hours) that a given facility is not functional [at a specified level of functionality]. 3. Repairability calculated as the costs of repair of a given structure (and clean up of contents). 4. Potential for financial ruin calculated on a facility specific basis relative to the above considerations [Jack Meszaros to flesh out] LSA Decision Variables [per Mary Comerio and Keith Porter] Related to the above generic decision variables, the LSA test bed is considering: 1. Life-safety calculated as the potential ( based on likely damage states) for loss of life or serious injury within a specified planning horizon. 2. Functionality calculated as the likely period of time that the lab functions would be disrupted. 3. Repairability calculated as the costs of repair of a given structure (and clean up of contents). 4. Potential for operational failure of the lab (i.e., equivalent to risk of ruin) within a given planning horizon. Van Nuys Decision Variables 1. Life-safety calculated as deaths and serious injuries. 2. Functionality calculated as the amount of time (days, hours) that the facility is not functional [at a specified level of functionality]. 5 3. Repairability calculated as the costs of repair of thestructure (and clean up of contents). 4. Potential for financial ruin calculated as the likelihood that the facility would be put out of business [Jack Meszaros to flesh out] From Evaluating a Single Facility to Making Seismic Retrofit Decisions The PEER research being conducted by Ufuk Inces, with support from Eduardo Mirandes and Jack Meszaros, is also considering for the Van Nuys test bed how the PBEE methodology can be used to inform decisions about retrofit (based on different levels of retrofit vs. no action). This has involved consideration of the ways to incorporate the probabilistic information about sources and damage states into meaningful financial decision terms. The issues have been: (1) Relevant financial decision criteria (Internal Rate of Return, Net Present Value, Payback Period) as they relate to costs and benefits of retrofits, and (2) Presentation of results (annualized expected values vs. probability of exceedance for specified values). Ufuk is expanding the model to consider insurance as a choice to be explicity considered. We talked about this as very useful next step in pushing the Van Nuys testbed that needs to be developed in conjunction with next directions of the testbed. Related issues that came up for this type of analysis were thinking about relevant uncertainties for such calculations, beyond those inherent in the uncertainties associated with calculating damage states. This draws attention to the need for sensitivity analyses concerning discount rates and time horizons. Presentation of PBEE Decision Considerations We talked about the diverse audiences and differing needs of those audiences in considering information about the seismic performance of a given structure. The issues that have come up in the past concerning communication of PBEE results have revolved around issues of communicating probabilistic findings (versus scenario as relates to different earthquake sources and potential impacts) and communicating uncertainties of analyses (relating to predictive uncertainties of PBEE modeling). We thought it would be best to use the testbeds as opportunities to show the types of and different ways in which predictions of seismic performance from the PBEE methodology can be communicated. This should done for each testbed in consideration of who the relevant audiences are for that testbed. Van Nuys Testbed Two generic audiences are recommended for consideration, each illustrating different information needs and ability to comprehend information. One, labeled “owner,” represents those that want the basic information about potential impacts but are not tolerant of detailed information. The second, labeled “insurance and finance,” represents the more sophisticated investor for which more detailed information is relevant. Owner Presentation 6 Two different ways of presenting PBEE evaluations are recommended for the hypothetical owner based upon our discussions: 1. Owner Scenario – This is use of a “scenario earthquake” and the predicted impacts of that event upon the facility. a. Scenario chosen to be “modal event” in terms of risk profile [terminology needs to be refined to provide an appropriate labeling of this event]. The modal event is defined as the event with magnitude (M) and distance (R) causing the greatest density of loss, DV. Mathematically, this would be (M, R) such that d^2DV/(dM*dR) is maximized, for a scalar DV that reflects the loss given an event in (M±dM/2, R±dR/2), and the probability of the event in (M±dM/2, R±dR/2). On an x,y,z surface of where z = DV density, x = M and y = R, the modal earthquake (M,R) would correspond to the highest point on the surface. b. For this event, results would be communicated as the expected value (“likely outcome”) and 90th percentile (“credible worst case” – terminology to be refined) for: i. Loss of life ii. Injuries iii. Number hours/days of downtime for facility functioning iv. Costs of repair c. Separately, it is useful to consider how expected impacts contribute to the likelihood of “the risk of ruin,” in this case meaning that the hotel would go out of business. d. We did not resolve how to convey the level of ambiguity (or for that matter how to calculate it) associated with uncertainties of the projected scenario impacts. 2. Owner Multi-Source – This incorporates the multiple potential sources of earthquakes and their potential effects into a probabilistic like PEER framework. However, the key difference for this is that a fixed period of time is chosen (the owner planning horizon) and calculations are presented relative to that time horizon. a. Planning horizon chose to 20 years, based on an assumption that is represents the remaining useful life of the building. [An argument could be made for a 5-year horizon as perhaps reflecting the time horizon of an investor, but we thought that would bias the results too much.] b. For this planning horizon, results would be communicated as the expected value (“likely outcome”) and 90th percentile (“credible worst case” – terminology to be refined) for impacts over the period: i. Loss of life ii. Injuries iii. Number hours/days of downtime for facility functioning 7 iv. Costs of repair c. Separately, it is useful to consider how expected impacts contribute to the likelihood of “the risk of ruin,” in this case meaning that the hotel would go out of business over the 20 year period. d. As with the scenario-based approach, we did not resolve how to convey the level of ambiguity (or for that matter how to calculate it) associated with uncertainties of the projected scenario impacts. Insurer/Investor Presentation We also discussed two different ways of presenting PBEE evaluations for the hypothetical insurer or investor: 1. PML-type presentation – This would be the basic equivalent of what insurers seek as a PML type loss analysis. a. Calculations based on the occurrence of shaking severity with 10% probability of being exceeded in 50 years. b. For this event, results would be communicated as 90th percentile (“credible worst case” – terminology to be refined) for: i. Loss of life ii. Injuries iii. Number hours/days of downtime for facility functioning iv. Costs of repair c. How do uncertainties get communicated for this case? [Jack, Ufuk, others?] 2. Probability-based presentation – This would be a fuller analysis and presentation that reflects to probabilistic aspects a. Calculations based on probability distributions of events and impacts, covering the range of possibilities and their likelihoods b. Results communicated as both (a) annual expected value, and (b) exceedance probabilities (with probability yet to be selected – Ufuk??) with respect to: v. Loss of life vi. Injuries vii. Number hours/days of downtime for facility functioning viii. Costs of repair d. “Risk of ruin” to be calculated on probabilistic basis – [Jack, Ufuk – how calculate and how present this?] e. Uncertainties to be presented as some form of level of confidence or confidence interval. Cross-Cutting Testbed Issues 8 Issues for Presentation of Results These relate to the flexibility of the PBEE predictive modeling and the available data: 1. Ability to generate specific scenario-based results (i.e., for scenario event). 2. Ability to generate results for a specific time horizon (i.e. 20-year planning horizon). 3. Ability to calculate specific dv’s (e.g., loss of life, injuries, downtime etc.). Other Issues 1. Selection of scenario event when presenting for scenario – we discuss this as the modal event for the risk profile (which is not necessarily the modal event itself). What is this event called? [see above for calculation] 2. How to quantify life safety, which LSA so far as I understand it has not quantified and VN desires to quantify. Can death and injuries be predicted? 3. How to quantify uncertainty (ambiguity) and communicate it to relevant audiences as it relates to inherent unknowns. 4. How to incorporate concepts of “risk of ruin” into predicted impacts. 5. How to move the PBEE framework from an analysis of a single structure as is to an analysis that considers retrofit options and insurance purchase options. This needs more attention as to what the PEER direction is for the testbeds. Ufuk’s work takes us a long ways to considering seismic rehabilitation/investment choices from a financial perspective.; 6. Details, which are more than minor, of how the above calculations are made and by whom. 9