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/ Responses (Linear & non-Linear) Risk for capsizing Ongoing projects
Marine research in Chalmers (SMT) Group of Jonas Ringsberg Mathematical Sciences cooperate within I & IV.
Researches on environmental models Models of Sea state variability Model for the mean value of Hs = 2/365.2 ; Xt(p) = ln(Hs(p)); p=(p1,p2), position; t – time. 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: 2/24/20192/24/2019
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
Ongoing projects (1) No.1: fatigue routing and extreme estimation
Ongoing projects (2) Investigate crossing of quadratic responses with Laplace Moving Average excitation Thomas Galtier, joint PhD student Chalmers and UBS Vannes. IFREMER
Ongoing projects (3) 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 (4) Chasing uncertainties Uncertainties in material related parameters Chaos 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.