virtual engagement session for osrc 2021 fixed offshore … · 2021. 1. 6. · 2a) show that...
TRANSCRIPT
virtual engagement session for OSRC 2021 fixed offshore structures
session 2 performance-based design for metocean hazard
motivation
(ideally) establish, agree & codify a reliability calculation, consistent for all hazards, that…
• quantifies operational risk v performance objectives;• sets mitigation strategies (inspection, maintenance, monitoring and evacuation);• communicates risk to stakeholders (regulators, corporations, insurance and workers);
1a) share recent R&D findings on extreme metocean loads for fixed offshore structures;1b) explain difference in the metocean hazard curve cf. historical methods.
2a) show that performance-based design, as used in ISO 19901-2 and API RP 2EQ for design/ assessment of fixed offshore structures for the seismic hazard, has an identical form for the metocean hazard;
2b) discuss any further work required to achieve industry consensus on adopting performance-based design/ assessment of fixed offshore structures for the metocean hazard.
potential future design/ assessment approach for jackets subject to metocean hazard
based on19901-2 (2EQ) performance-based design
OSRCs in 1995, 2012, 2014, 2016 & 2018 but no progress on codifying structural reliability for design / assessment for offshore structures….
except for seismic design of offshore structures (ISO 19901-2 and API 2EQ)
meanwhile, ASCE…
established and applied structural reliability (Performance-Based Design) for seismic design of every tall building in California since 2000.
published reliability targets for seismic design (life-safety, repair cost, facility’s availability)
there was a common factor… Allin Cornell
structural reliability (1995 to 2020)
1995 OSRC - Denham UK
Issues for resolution
A couple of very important needs have been identified to bring some sense of order and consistency to the understanding and use of the values and/or approaches.
Reconcile basis for models in deriving reliability numbers
Reconciliation of the Shell model and other models is necessary before any confidence can be developed in moving from notional values to “true” values that would be consistent with actuarial data.
Establish basis and validation of COV values
For values to move beyond notional values, consistency and accuracy in the COV values must be developed.
5
Allin Cornell’s approach – pragmatic engineering
notional (not actuarial) only useful for code calibration
any (absolute) result is possible depending on assumptions
complex maths (not suitable for designers)
no agreement on acceptable/ intolerable limits
for use in decision making…include epistemic uncertainty in hazard curve and aleatory randomness in fragility curve
define simple 10-step procedure with default inputs based on full solutions to real problems
formulate in 1-dimension (Intensity Measure) as a hazard curve & fragility curve
building owners & insurance companies require…
probability of - fatalities, repair cost and repair time
rather than being told “building conforms to design code”
PROBLEMS SOLUTIONS
approach of one IOC to epistemic uncertainty…
Epistemic uncertainty shall be appropriately included in the study.
PSHA shall incorporate the views represented by the composite distribution of thescientific community as a whole, rather than any narrower specialized viewpoint owned bythe Contractor directly conducting the study.
1) Hazard curve, Fragility curve, Aleatory Randomness (AR) & Epistemic Uncertainty (EU)
2) Why BS is the best scalar measure of metocean load but does not fully define the load AR
3) Deaggregation of hazard curve & fragility curve fitting
4) Recent application of 3) for jacket seismic design/assessment
5) Recent application of 3) for jacket metocean design/assessment
6) 19901-2 & 19902 codified version of 3) for seismic design
7) Possible codified version of 6) for metocean design
content
PGD (rigid structure)
𝑆𝑆𝑑𝑑 𝑇𝑇 = spectral displacement
𝑆𝑆𝑑𝑑 𝑇𝑇
𝑆𝑆𝑎𝑎 𝑇𝑇 = spectral acceleration
max �̈�𝑥𝑟𝑟 rather than max 𝑥𝑥𝑟𝑟
pseudo spectral acceleration
= 2𝜋𝜋𝑇𝑇
2𝑆𝑆𝑑𝑑 𝑇𝑇
𝜁𝜁 = 5% 𝑡𝑡𝑡𝑡𝑡𝑡
𝜁𝜁
linear oscillator
Response spectrum𝑥𝑥𝑚𝑚𝑎𝑎𝑚𝑚 for 𝑇𝑇𝑖𝑖
𝑥𝑥𝑚𝑚𝑎𝑎𝑚𝑚
𝑇𝑇𝑖𝑖
𝑇𝑇
𝑇𝑇𝑖𝑖�̈�𝑥𝑔𝑔
�̈�𝑥𝑔𝑔𝑥𝑥𝑟𝑟
𝑥𝑥𝑟𝑟
seismic analogy - (pseudo) spectral acceleration
Hazard curve creationa) identify earthquake sources.
then …
b) characterize the distribution of earthquake magnitudes from each source
c) characterize the distribution of source-to-site distances from each source
d) Predict the attenuation (including uncertainty) of ground motion intensity at “r” from each source
Aggregate the contribution to the hazard curve from each earthquake source using b), c) & d) to compute the annual rate of exceeding a given ground motion intensity
spec
tral
acc
eler
atio
n
rL
siterA
truncated Gutenberg-Richter
Mw
spectral acceleration (g)
seismic analogy – hazard curve
𝐹𝐹(𝐿𝐿) Fragility curve1
0
1E-2
1E-5
1E-4
1E-3
𝐻𝐻(𝐿𝐿) Hazard curve
19901-2 (2EQ) seismic annual probability of collapse
Intensity Measure 𝐼𝐼𝐼𝐼 = 𝐿𝐿 (ie spectral acceleration)
𝛽𝛽 = 0.3
𝑃𝑃𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑚𝑚 𝐿𝐿 > 𝑙𝑙 𝛼𝛼 𝑃𝑃 𝐿𝐿 > 𝑅𝑅 𝐿𝐿 = 𝑙𝑙,𝛼𝛼
𝑃𝑃𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑎 𝐿𝐿 > 𝑅𝑅 = �𝐻𝐻𝐻𝐻𝐹𝐹 < 1/2500
performance objectives
1. performance level2. acceptable RP for exceeding PL
no platform collapse (or LQ slide)RP=2500yrs
no post event repairsRP≅100yrs
platform collapse mechanisms due to AR of load
Jacket shear force capacitya fails
b failsc fails
bc
a
X = applied shear forceor shear force capacity
x = BS X
platform collapse mechanisms due to AR of wave load (explicit in the fragility curve)
11E-2
1E-4
1E-3
0 40 80 120 160
fragility curve for small variability in shear v depth profiles
(collapse mechanismnot sensitive to load AR)
01E-5
Fragility curve for large variability in shear v depth profiles
(collapse mechanism sensitive to load AR)
Intensity Measure - base shear (MN)
𝑃𝑃𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑚𝑚 𝐿𝐿 > 𝑙𝑙 𝛼𝛼 𝑃𝑃 𝐿𝐿 > 𝑅𝑅 𝐿𝐿 = 𝑙𝑙,𝛼𝛼
IM =Sa(T1) or PGA
orSbs(T1)
EDP =Inter-story drift ratio
= lateral deck displacement/ platform ht.
DM =Loss of production due to repair
orplatform collapse
DV =dollar lossesordowntimeorfatalities
performance-based design
EDP – inter-story drift (tilt) or total drift (tilt)
11E-2
1E-4
1E-3
H(x) Hazard curve
01E-5
deaggregation of hazard curve
0 40 80 120 160
Intensity Measure - base shear (MN)
𝑃𝑃𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑚𝑚 𝐿𝐿 > 𝑙𝑙 𝛼𝛼 𝑃𝑃 𝐿𝐿 > 𝑅𝑅 𝐿𝐿 = 𝑙𝑙,𝛼𝛼
deaggregation of hazard curve
includes WiJL from breaking waves on the conductors and vertical WiDL
1
2
3
Sbs40 80 120
40 80 120
10 %
20 %
30 %
Deaggregation Weights 𝑊𝑊𝑊𝑊
45
EDP
= re
sidua
l tilt
(deg
)Fr
actio
n fa
iling
tilt c
riter
ion
Sbs
EDP limit=6deg
30MNm torsion
0MNm torsion
0MNm torsion
Sbs = 45 MN
Sbs = 45 MN
Sbs = 45 MN
1
2
3
fragility curve construction – multiple stripes analysis
40 80 120
EDP
= re
sidua
l tilt
(deg
)Fr
actio
n fa
iling
tilt c
riter
ion
0.0
0.2
0.4
0.6
0.8
1.0
0 0.5 1 1.5 2 2.5 3
P(c|
Sa=x
)
observed data
max liklihood fit
40 80 120 160 200 240
PED
P>lim
it𝑆𝑆 𝑏𝑏
𝑏𝑏=𝑥𝑥
Sbs40 80 120Sbs
fragility curve construction – MLM
0.0
0.2
0.4
0.6
0.8
1.0
observeddata
PED
P>lim
it𝑆𝑆 𝑏𝑏
𝑏𝑏=𝑥𝑥
SbsMSA – Multiple Stripes Analysis
Logistic regression
fragility curve construction – 2 x 3 options
IDA - Incremental Dynamic Analysis Bayesian inference
Logistic regression exampleMaximum Likelihood Method
2x30 THA
1000 THA
fragility curve fitting available at 18mins into the following video…
https://www.youtube.com/watch?v=Q8e0_d81a40&feature=youtu.be
fragility curve fitting spreadsheet (as shown in above video) can be downloaded …
http://femap58.atcouncil.org/supporting-materials
fragility curve by Bayesian inference – Gokkaya, Baker & Deierlein (2015)…
https://pdfs.semanticscholar.org/303a/50379f4a2d77dd1e1f53cd2aa303236c659b.pdf
fragility curve fitting
1
0
Posterior predictive Fragility curveEpistemic Uncertainty (EU)andAleatory Randomness (AR)
1E-2
1E-4
1E-3
IMRP /IM100 Intensity Measure (linear scale)
2.0 3.01E-5
Posterior predictive Hazard curveAleatory Randomness (AR)andEpistemic Uncertainty (EU)
AR & EU on fragility curve
𝑃𝑃𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑚𝑚 𝐿𝐿 > 𝑙𝑙 𝛼𝛼 𝑃𝑃 𝐿𝐿 > 𝑅𝑅 𝐿𝐿 = 𝑙𝑙,𝛼𝛼
1.0
30,000 MCS for LOAD & RESISTANCE
LOAD - 20 time histories- TH scaled (15 times) by IDA
RESISTANCE- 100 draws of 4 random variables above
using Latin Hypercube Sampling
2017 example of seismic fragility curve
topsides mass yield strength
damping Youngs modulus
Sensitivity of Fragility curve to EU
3 Fragility curves for P2.5, P50 & P97.5 values of sensitivity variable together with P50 value of remaining 3 variables
seismic fragility curve – dispersion β= 44%
0 1 20
0.25
0.5
0.75
11
0
F x( )
2.50 x
Prob
abili
ty o
f Col
laps
e
Sa (T1,5%) (g)
Mean Fragility
100 Fragility curves – each based on samples of 4 variables using LHS
Each curve is fitted to 15 magnitudes of 20 THA(ie IDA with up to 300 points)
2019 example of metocean fragility curve
Platform North direction – MSA stripe 2 (with approx 15MN WiD)
resulting fragility curve(for 1 direction)
fitted using logistic regression
22 24 26 28 30 32 34
Fbs
2019 example of metocean fragility curve
The Fragility curve for the platform has been calculated by a contractor using USFOS based upon random, irregular, nonlinear, wave time history data.
The metocean wave time history data received from metocean consultant was reduced to the following cases for USFOS THA by …
For each direction – 3 sets of base shears
For each base shears – 10 realisations of metocean time history loading (WiJ + WiD)
Failure modes revealed were …
1. foundation failure due to pile push-in
2. Deck leg tearing due to high plastic strain at plastic hinge
design for seismic hazard to ISO 19901-2 and ISO 19902
design for seismic hazard to ISO
ISO 19902
Select 7 sets of accelerograms that have
design for seismic hazard to ISO
ISO 19901-2 requirement for seismic design of fixed offshore structures is based on a 1996 paper by Allin Cornell http://www.iitk.ac.in/nicee/wcee/article/11_2122.PDF
The method was proposed by Cornell (and adopted by ISO 19901-2) for design of jacket structures to resist seismic loading. It also EXACTLY applies to metocean loading.
The data in the paper was based on non-linear THA of jacket structures by one of Cornell’s PhD students (Paolo Bazzurro) in 1993.. https://ascelibrary.org/doi/10.1061/%28ASCE%290733-9445%281994%29120%3A11%283345%29
ISO 19901-2 design/ assessment for seismic hazard, developed 24 years ago, can be adopted for design / assessment for metocean hazard.
background – design for seismic hazard to ISO
0.0001
0.001
0.01
0.1
1
10
100
Ann
ual p
roba
bilit
y of
exc
eeda
nce
of s
pect
ral a
ccel
erat
ion
define the slope of the hazard curve as -1/log(aR) approximate aR at Poccur asslope =-1/log(aR) =(log(P1)-log(P2))/(log (Sa1)-log(Sa2))-1/log(aR) =-1/log (Sa1/Sa2) as P1/P2=0.1
background – design for seismic hazard to ISO
Approximate hazard curve by straight line on log-log plot
19901-2, Figure 5 (log x axis)
4E-4 max 0.5
1
0
F(x) Fragility curvesfor different designs (strengths)all have β = 0.3 (which is based on Bazzurro’s PhD)
1E-2
1E-4
1E-3
𝑥𝑥 = IMRP /IM100 Intensity Measure (linear scale)
2.0 3.0
H(x) mean Hazard curve
𝑥𝑥1E-5
𝑥𝑥 = 𝑆𝑆𝑆𝑆𝐴𝐴𝐴𝐴𝐴𝐴𝑥𝑥 = 𝑆𝑆𝑆𝑆4𝐴𝐴−4
Cc
1.0
background – design for seismic hazard to ISO
𝑃𝑃𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑚𝑚 𝐿𝐿 > 𝑙𝑙 𝛼𝛼 𝑃𝑃 𝐿𝐿 > 𝑅𝑅 𝐿𝐿 = 𝑙𝑙,𝛼𝛼
• 𝑃𝑃𝑐𝑐 = ∫0∞𝐻𝐻. 𝑑𝑑𝑑𝑑
𝑑𝑑𝑚𝑚𝐻𝐻𝑥𝑥
• 𝑙𝑙𝑙𝑙𝑙𝑙𝐻𝐻 = −𝑚𝑚. 𝑙𝑙𝑙𝑙𝑙𝑙𝑥𝑥 + 𝑙𝑙𝑙𝑙𝑙𝑙𝑙𝑙
• 𝐻𝐻 = 𝑙𝑙. 𝑥𝑥−𝑚𝑚
• 𝑑𝑑𝑑𝑑𝑑𝑑𝑚𝑚
= 1𝑚𝑚𝑥𝑥 2𝜋𝜋
𝑒𝑒−𝑙𝑙𝑙𝑙𝑙𝑙−𝜇𝜇𝛽𝛽√2
2
• 𝜇𝜇 = 𝜇𝜇𝑎𝑎𝑎𝑎𝑙𝑙 = mean of 𝑙𝑙𝑙𝑙𝑙𝑙
• 𝛽𝛽 = 𝜎𝜎𝑎𝑎𝑎𝑎𝑙𝑙 = SD of 𝑙𝑙𝑙𝑙𝑙𝑙=dispersion
• 𝑃𝑃𝑐𝑐 = ∫0∞ 𝑙𝑙𝑥𝑥−𝑚𝑚 1
𝑚𝑚𝑥𝑥 2𝜋𝜋𝑒𝑒−
𝑙𝑙𝑙𝑙𝑙𝑙−𝜇𝜇𝛽𝛽√2
2
𝐻𝐻𝑥𝑥
𝑃𝑃𝑐𝑐 = 𝑙𝑙 𝑒𝑒𝜇𝜇 −𝑚𝑚𝑒𝑒12𝑚𝑚
2𝑥𝑥2
𝜃𝜃 = 𝑒𝑒𝜇𝜇 = median
𝑃𝑃𝑐𝑐 = 𝑙𝑙𝜃𝜃−𝑚𝑚𝑒𝑒12𝑚𝑚
2𝑥𝑥2
𝜃𝜃−𝑚𝑚 = 𝑃𝑃𝑐𝑐𝑐𝑐𝑒𝑒−
12𝑚𝑚
2𝑥𝑥2
𝜃𝜃 =𝑃𝑃𝑐𝑐𝑙𝑙
−1𝑚𝑚𝑒𝑒12𝑚𝑚𝑥𝑥2
𝜃𝜃 =𝑙𝑙
4 × 10−4
1𝑚𝑚 𝑒𝑒
12𝑚𝑚𝑥𝑥2
𝜃𝜃 = 𝑥𝑥4𝐴𝐴−4 × 𝑒𝑒12𝑚𝑚𝑥𝑥2
𝜃𝜃 = 𝑥𝑥4𝐴𝐴−4 × 𝐶𝐶𝐶𝐶
background – design for seismic hazard to ISO
4E-4 max 0.5
7/7
6/7
5/7
4/7 Pcollapse=1-4/7 = 0.42
3/7
2/7
1/7
0/7 THA passes 1
0
F(x) Fragility curvesfor different designs (strengths)all have β = 0.3 (which was based on Bazzurro’s PhD)
1E-2
1E-4
1E-3
2.0 3.0
H(x) mean Hazard curve
1.0 𝐿𝐿𝐿𝐿100
1E-5Cc
𝑥𝑥 = 𝑆𝑆𝑆𝑆𝐴𝐴𝐴𝐴𝐴𝐴 = 𝜃𝜃𝑥𝑥 = 𝑆𝑆𝑆𝑆4𝐴𝐴−4 𝐴𝐴𝐴𝐴100
=Intensity Measure
background – design for seismic hazard to ISO
𝑃𝑃𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑚𝑚 𝐿𝐿 > 𝑙𝑙 𝛼𝛼 𝑃𝑃 𝐿𝐿 > 𝑅𝑅 𝐿𝐿 = 𝑙𝑙,𝛼𝛼
19901-24 passes from 7 THAs
ASCE 7-1610 passes from 11 THAs11 passes from 11 THAs
ISO 19902
elastic design for seismic hazard to ISO
elastic design for seismic hazard to ISO
𝐶𝐶𝑟𝑟 = 𝐶𝐶𝑏𝑏𝑟𝑟 × 𝐶𝐶𝑑𝑑𝑟𝑟
𝐶𝐶𝑏𝑏𝑟𝑟 = �∆𝑢𝑢∆𝐸𝐸𝐸𝐸𝐸𝐸 strengthening part of deformation curve
𝐶𝐶𝑑𝑑𝑟𝑟 = 1 + 𝐴𝐴𝑑𝑑𝑑𝑑𝑢𝑢∆𝑢𝑢
degrading part of deformation curve
background – elastic design for seismic hazard to ISO
5E-3 max
0.5
1
0
Fragility curve“collapse” (LSR)
1E-2
1E-4
1E-3
2.0 3.01.0
𝑥𝑥 = 𝑆𝑆𝑆𝑆4𝐴𝐴−4
4E-4 max
Cc1E-5
Fragility curve“repair” (BR)
Cr
𝑥𝑥 = 𝑆𝑆𝑆𝑆𝐴𝐴𝐴𝐴𝐴𝐴 𝑥𝑥 = 𝑆𝑆𝑆𝑆𝐴𝐴𝐴𝐴𝐴𝐴 = 𝜃𝜃
𝑃𝑃𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑚𝑚 𝐿𝐿 > 𝑙𝑙 𝛼𝛼 𝑃𝑃 𝐿𝐿 > 𝑅𝑅𝑐𝑐𝑐𝑐𝑎𝑎𝑎𝑎𝑎𝑎𝑐𝑐𝑏𝑏𝑐𝑐 𝐿𝐿 = 𝑙𝑙,𝛼𝛼
𝑃𝑃 𝐿𝐿 > 𝑅𝑅𝑟𝑟𝑐𝑐𝑐𝑐𝑎𝑎𝑖𝑖𝑟𝑟 𝐿𝐿 = 𝑙𝑙,𝛼𝛼
𝐿𝐿𝐿𝐿100 𝐴𝐴
𝐴𝐴100=Intensity Measure
5E-3 max
1
0
1E-2
1E-4
1E-3
2.0 3.01.0 𝑥𝑥 = 𝑆𝑆𝑆𝑆𝑎𝑎𝑐𝑐𝑚𝑚
1E-5
Fragility curve“repair” (BR)
𝑥𝑥 = 𝑆𝑆𝑆𝑆𝐴𝐴𝐴𝐴𝐴𝐴
𝐹𝐹 1.1𝐺𝐺 + 1.1𝑄𝑄 + 0.9𝐸𝐸(𝑆𝑆𝑆𝑆𝐴𝐴𝐴𝐴𝐴𝐴) <𝑅𝑅𝑟𝑟𝑐𝑐𝑐𝑐𝛾𝛾𝑅𝑅
𝑆𝑆𝑆𝑆𝐴𝐴𝐴𝐴𝐴𝐴 < 𝐸𝐸−11
0.9𝐹𝐹−1
𝑅𝑅𝑟𝑟𝑐𝑐𝑐𝑐𝛾𝛾𝑅𝑅
− 𝐹𝐹(1.1𝐺𝐺 + 1.1𝑄𝑄)
𝑆𝑆𝑆𝑆𝐴𝐴𝐴𝐴𝐴𝐴 < 𝑆𝑆𝑆𝑆𝑎𝑎𝑐𝑐𝑚𝑚
background – elastic design for seismic hazard to ISO
𝑃𝑃𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑚𝑚 𝐿𝐿 > 𝑙𝑙 𝛼𝛼 𝑃𝑃 𝐿𝐿 > 𝑅𝑅𝑟𝑟𝑐𝑐𝑐𝑐𝑎𝑎𝑖𝑖𝑟𝑟 𝐿𝐿 = 𝑙𝑙,𝛼𝛼
𝐿𝐿𝐿𝐿100 𝐴𝐴
𝐴𝐴100=Intensity Measure
0.2 0.4 0.6 0.81 10 4−×
1 10 3−×
0.01
0
0.2
0.4
0.6
0.8
H x( )F x( )
fac_HdF x( )
xSa_Pf 0.5524:= Sa_ALE 0.628:= Pf
0
∞
xH x( )x
F x( )dd
⋅⌠⌡
d 4 10 4−×=:=
H Sa_Pf( ) 3.999 10 4−×= F Sa_ALE( ) 0.501=
CcSa_ALESa_Pf
1.137=:=1H Sa_Pf( ) 2501=
1H Sa_ALE( ) 3600=
X axis = (Sa)
Y axis = P(X>x)
Y axis = P(X<x)
Cc1/3600=3E-4
1/2500=4E-4
4.0
2500
0.5
background – design for seismic hazard to ISO
Figure 5 ISO 19901-2
hazard curvea) is structure specific and location specific;b) accurately defined by recent R&D;c) could be approximated (for WiJ only) by structure type and
location (eg as illustrated opposite from NS1200 ph2).
further work required on hazard curvea) complete verification & validation of recent R&D for
extreme metocean load;b) calculate Hazard curves for a wide range of platform
shapes and locations in order to determine simple approximations for the hazard curve by platform type/ location.
potential design for metocean hazard to ISO
fragility curve:a) is structure specific and location specific;b) accurately defined by THA & Bayesian inferencec) could be approximated (for WiJ only) by structure type and location
(if a database of fragility curves are created).
further work required on metocean fragility curve:a) investigate use of Bayesian inference to determine the
(posterior predictive) fragility curve.b) calculate fragility curves (by NLTHA) for a wide range of platform
shapes and locations (WiJ only) in order to determine simple approximations for the dispersion by platform type/ location.
c) calculate table of Cc factors (based on above)d) calculate table of Cr factors (based on above)
potential design for metocean hazard to ISO
𝑃𝑃 𝐿𝐿 > 𝑅𝑅𝑐𝑐𝑐𝑐𝑎𝑎𝑎𝑎𝑎𝑎𝑐𝑐𝑏𝑏𝑐𝑐 𝐿𝐿 = 𝑙𝑙,𝛼𝛼
𝐿𝐿𝐿𝐿100
design recipea) write a design recipe for metocean hazard (similar to that in
19901-2 and 19902 for seismic hazard).b) agree the target (and limiting?) performance objective.
further work required on design recipe a) determine a suitable number of THA to be
performed and the pass/ fail ratio.b) determine the partial factors for the elastic
design code-check.
𝐹𝐹 1.1𝐺𝐺 + 1.1𝑄𝑄 + 0.9𝐸𝐸(𝑆𝑆𝑏𝑏𝑏𝑏 𝐴𝐴𝐴𝐴𝐴𝐴) <𝑅𝑅𝑟𝑟𝑐𝑐𝑐𝑐𝛾𝛾𝑅𝑅
𝐹𝐹 1.3𝐺𝐺 + 1.3𝑄𝑄 + 1.0𝐸𝐸(𝑆𝑆𝑏𝑏𝑏𝑏 𝐴𝐴𝐴𝐴𝐴𝐴) < 𝑅𝑅𝑟𝑟𝑐𝑐𝑐𝑐
potential design for metocean hazard to ISO
data for 119 wavelets to be Read from .txt file
When Type=Spect & SpecType=Readthis is dummy data and is not used
When SpecType=Readthese fields are replaced byFilename Spec <filename>NB SpecType=Read is not described in the Nov 2019 USFOS manual
If N_ini=0then X1 f1 to XN_ini fN_ini are not provided
USFOS data to create irregular wave time history
n height period direction phaseexample content of .txt file where
n = wavelet numberheight = wavelet height (m)period = wavelet period (s) direction = wavelet direction (deg)phase = wavelet phase (deg)
USFOS data to create irregular wave time history
USFOS uses Wheeler stretching and so“stretches” the solid grey (linear) curvevertically to give the solid black curve.
The velocity profile can be changed fromthe black curve to the red curve (NB theLOADS JIP curve also lies on the red curve)by using the USFOS input record Wave KRF
For the black & red curves shown theWave_KRF factor will be
>1 for Z > -7m <1 for Z< -7m
where Z=0 is the still water elevation
USFOS data to create irregular wave time history
example data to factor kinematics as a function of depth
USFOS data to create irregular wave time history
These results were produced by using the WAVEDATA andWAVE_KRF commands (as described above) for a large jacketstructure.The loading was plotted from the USFOS calculated base shear.The dynamic amplification was produced by plotting the reactionsfrom an USFOS time history analysis.
focused wave
example results from USFOS irregular wave time history
unfocused wave
DAF=1.2
Energy Institute - guidance on the application of performance-based design/ assessment
− regulatory background
− performance-based design (history, future and basis)
− performance-based design applied by codes
− non-linear structural analysis
− review of latest research on wave loading
− establishing good practice (understanding impact of latest methods)
− mitigation of life-safety & environmental risk associated with metocean hazards
− example application based on a North Sea platform
discussion points from panellists
Questions
Dr Ramsay Fraser
Engineering Technical Authority – offshore structures
I&E - engineering
Mobile: +44(0) 7803260300
TEAMS: +44(0)1224 934836