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