Q: Can MOSES perform quasi-static, one-damage, and transient mooring analyses?
A: In a word, yes!
Quasi-Static mooring analysis is what you get when you find equilibrium and then either compute RAOs or SRESPONSE. The mooring line tensions are the ones which should be compared to the allowable.
One-Damage is not so well defined. You can place the vessel in its extreme position as predicted by the quasi-static analysis, deactivate the most heavily loaded line and perform a time domain analysis. You may or may not have an environment applied.
Transient mooring analysis is simply a time domain simulation for a moored vessel.
Click Here for a sample which does the quasi-static and transient analysis. Also Click Here for more discussion on the subject.
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Quasi-static analyses
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