On the efficiency of crossing rate prediction methods used to determine extreme motions of moored offshore structures

Grime, Andrew J.; Langley, R.S.

doi:10.1016/j.apor.2003.08.002

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Application Of the Compound Path Integral Solution2

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Cited by 8 publications

(2 citation statements)

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“…Let P F (T) = P F (T, ) denote the probability that X(t) exceeds the value  during a period of time of length T, then [11]:…”

Section: Application Of the Compound Path Integral Solutionmentioning

confidence: 99%

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Compound Path Integral Solution of Response Exceedance Probabilities of an Offshore Structure

Wang

2011

J. mech.

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In this technical note, a compound path integral solution (CPIS) method is utilized to calculate the response exceedance probabilities of a nonlinear compliant offshore structure subjected to slow drift wave force excitations. The structure's slow drift response exceedance probabilities have also been calculated by using the original PIS method for comparison purpose. It is found that the efficiency of the CPIS method for predicting the structure's slow drift response exceedance probabilities is higher than that of the original PIS method.

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“…Let P F (T) = P F (T, ) denote the probability that X(t) exceeds the value  during a period of time of length T, then [11]:…”

Section: Application Of the Compound Path Integral Solutionmentioning

confidence: 99%

“…Here we first give the Rice formula [11] which can be used to calculate the mean level up-crossing rates:…”

Section: Application Of the Compound Path Integral Solutionmentioning

confidence: 99%

Compound Path Integral Solution of Response Exceedance Probabilities of an Offshore Structure

Wang

2011

J. mech.

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Statistical response predictions for a nonlinearly moored large volume structure in random seas

Karlsen

Næss

2005

Applied Ocean Research

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Numerical methods for calculating the crossing rate of high and extreme response levels of compliant offshore structures subjected to random waves

Næss

Karlsen

Teigen

2006

Applied Ocean Research

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On the efficiency of crossing rate prediction methods used to determine extreme motions of moored offshore structures

Cited by 8 publications

References 13 publications

Compound Path Integral Solution of Response Exceedance Probabilities of an Offshore Structure

Compound Path Integral Solution of Response Exceedance Probabilities of an Offshore Structure

Statistical response predictions for a nonlinearly moored large volume structure in random seas

Numerical methods for calculating the crossing rate of high and extreme response levels of compliant offshore structures subjected to random waves

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