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acceptable analysis applied approach assessment associated assumed calculated coefficient combined components considered corresponding corrosion cost crack criteria damage dependent depth determined developed directional distribution dynamic effect element Engineering environmental equation estimate evaluated example expressed extreme factor failure fatigue Figure force frequency function fuzzy given growth important increase initial inspection limit load loss maintenance marine maximum mean measures Mechanics method motion normal observed obtained offshore operations parameters peak performed period pipe pipeline platform possible prediction present probability procedure production random range relative reliability represented response return period riser risk safety ship shown shows significant simulation spectral spectrum statistical storm strength stress structure surface Table theory typical uncertainty variables wave height wind