UC Science Building Testbed Meeting 16 Sep 2002

1 / 11

# UC Science Building Testbed Meeting 16 Sep 2002 - PowerPoint PPT Presentation

UC Science Building Testbed Meeting 16 Sep 2002. Porter, Beck, &amp; Shaikhutdinov. Methodology Overview. Decision Basis. Applies to an operational unit for a given planning period T , location O , and design D Probability of operational failure

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about ' UC Science Building Testbed Meeting 16 Sep 2002' - rhea

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### UC Science Building TestbedMeeting 16 Sep 2002

Porter, Beck, & Shaikhutdinov

Decision Basis
• Applies to an operational unit for a given planning period T, location O, and design D
• Probability of operational failure
• Operational failure occurs if any component that is critical for operations fails
• Probability of life-safety failure
• Life-safety failure occurs if any component that is critical for operations fails
• Probability distribution of repair cost
• Probability distribution of repair duration

3

Decision Variables
• Applies to an operational unit
• DVO:binary RV for operational state = 1  operational failure
• DVL: binary RV for life-safety state = 1  life-safety failure
• CR = repair cost, a scalar RV
• DR = repair duration, a scalar RV
• Goal:

P[DVO=1 | T, O, D]

P[DVL=1 | T, O, D]

FCR|T,O,D(cr|t,o,d) – a CDF of repair cost given T,O,D

FDR|T,O,D(dr|t,o,d)

4

Damage Measures
• Applies to a component
• DMR,i: binary RV for component i requiring repair or replacement
• DMR,i = 1  component requires repair or replacement
• Assume repair or replacement required if:
• Overturns (including sliding off bench or shelf)
• Impact sufficient to damage items
• Stored in equipment that overturns
• DMO,i: binary RV for operation-critical-component i operational state
• DMO,i = 1  operational failure of component
• Operational failure means
• Operation-critical equipment or specimen & DMR,i = 1
• Door of refrigerator containing operation-critical specimens opens, or
• DML,i: binary RV indicating component i life-safety state
• DML,i = 1  life-safety failure of component
• Life-safety failure means
• Life-safety hazard = “D” & overturns (O/T) or
• Chemical hazard ≠ “N” & overturns or
• Unrestrained weighty object & achieves momentum sufficient to cause trauma
• Unrestrained weighty object & displacement is great enough to block egress

5

DV|DM for Equipment
• DVO = maxi(DMO,i)
• DVL = maxi(DML,i)
• CR = ΣDMR,iCR,i
• CR,i = uncertain repair or replacement cost, equipment component i. The equation is different for construction.
• DR = Max(DMR,iDR,I)
• DR,i = uncertain repair or replacement time, equipment component i. The equation is different for construction.

6

DV|DM for Construction Cost
• CR = (1 + CO&P)SjSdNj,dCj,d

CR = repair cost

CO&P = overhead & profit, ~U(0.15, 0.20)

j = index of assembly type

d = index of damage state

Nj,d = number of assemblies of type j in state d

Cj,d = unit cost to restore assemblies of type j from state d, ~LN(mCj,d, bCj,d)

7

DV|DM for Construction Duration
• TR,m = T0 + SjSdTj,dNj,d/nj,d + StNtTt

TR,m = time to restore operational unit m

T0 = design, contracting, and mobilization time

Tj,d = time for one crew to restore one unit of assembly type j from state d, weeks.

nj,d = number of crews available

Nt = number of changes of trade

• Slow repair: high T0, low nj,d, high Tt, operational units restored in series (trades move from one unit to next)
• Fast repair: low T0, high nj,d, low Tt, operational units restored in parallel

8

Assembly DM|EDP Fragility Functions
• Fragility function gives the probability that an undesirable event (“failure”) occurs given input excitation (engineering demand parameter)
• Possible equipment EDP
• Peak diaphragm acceleration (PDA) or
• Peak diaphragm velocity (PDV) or
• Both
• Need P[DML,i|EDPi], P[DMO,i|EDPi]
• May depend on P[O/T|EDP], P[URD|EDP] or P[O/T or URD|EDP]

9

Sample Lab

Makris will provide fragilities from top of list through fume hoods by 1 Dec.

Hutchison will provide others. Draft fragilities to be delivered by early to mid-December

10

From Overturning and Unrestrained Displacement to Life-Safety and Operational Failure

11