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Safety of maritime operations - loads and responses. Igor Rychlik. Outline of presentation. Introduction Marine research in Chalmers Environmental loads Modelling significant wave height Wave loads (Gaussian & non-Gaussian ) WAFO http://www.maths.lth.se/matstat/wafo/ - PowerPoint PPT Presentation
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Chalmers University of TechnologyDepartment of Mathematical SciencesGöteborg, Sweden
Safety of maritime operations - loads and responses.
Igor Rychlik
Page 2Page 2
Outline of presentation
• Introduction
• Marine research in Chalmers
• Environmental loads1. Modelling significant wave height2. Wave loads (Gaussian & non-Gaussian) WAFO
http://www.maths.lth.se/matstat/wafo/ 3. Responses (Linear & non-Linear)4. Risk for capsizing
• Ongoing projects
Marine research in Chalmers (SMT) Group of Jonas Ringsberg
Page 3Page 3
Mathematical Sciences cooperate within I & IV.
Researches on environmental models
• Models of Sea state variability
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tttp cos)cos( )(XE(t) 210t
= 2/365.2 ; Xt(p) = ln(Hs(p)); p=(p1,p2), position; t – time.
Model for the mean value of Hs
Model for the covariance function of X(p,t) and encountered Hs; z(t)=X(p(t),t). Application: Estimates of 100-year Hs
Simulation of encountered Hs:
04/19/23
04/19/23
5
80oW 60oW 40oW 20oW 0o
12oN
24oN
36oN
48oN
60oN
The whole measurement positions for all the voyages
Wave loads and responses
• Fatigue and extreme responses• Wave loads (Gaussian & Second order model)• Structural responses linear, quadratic filters Gaussian and non-Gaussian input• Goal: Estimation of design values (extreme)
and fatigue life• Uncertainty analysis
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Ongoing projects (1)
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No.1: fatigue routing and extreme estimation
• Investigate crossing of quadratic responses with Laplace Moving Average excitation
• Thomas Galtier, joint PhD student Chalmers and UBS Vannes. IFREMER
Ongoing projects (2)
Page 8Page 8
• Investigation of fatigue in ship details and estimation of extreme responses
• Non-Gaussian stress models (spectrum, skewness, kurtosis)
• Structural analysis and stochastic models gives parametric function of operation conditions
Ongoing projects (3)
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Ongoing projects (4)
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• Chasing uncertainties Uncertainties in material related parametersChaos expansion for parameters in models (wave loads
and responses)Variability of load condition
• For North Atlantic DNV uses 3 parameter Weibul model• The DNV model gives about 50% smaller expected damage per sea state
then observed. Another methods are needed. We use more detailed model for Hs variability, presented before.
Thank you!
http://www.chalmers.se/math/EN/research/research-groups3561/spatio-temporal
Email: Rychlik@chalmers.se
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