For many years, ship structural researchers have been
working towards the goal of reliability-based limit state design of ship
structures. However, reliability-based design requires calculation of the
ultimate limit state, not only of the hull girder, but also of all the
structural panels and other members. Also, these calculations must be performed
a large number of times. Therefore, it is not practical to use iterative finite
element analyses for these calculations. For efficient computations, ultimate strength
formulations must be developed as closedform expressions, both for structural
components and for the complete hull girder.
A number of studies on the ultimate collapse strength
of ships’ hulls have been undertaken theoretically, numerically and
experimentally. Some of the results have been reviewed by the ISSC Technical
Committee III.1 on ‘Ultimate Strength’. The ultimate strength reliability of
ships’ hulls, considering existing local damage related to corrosion, fatigue
and collision/grounding, has also been studied.
Previous studies on the development of a formulation
for ultimate hull strength prediction may be classified into three groups. The 1st
is a linear approach, where the behaviour of the hull up to failure of the
compression flange is assumed to be linear elastic, i.e. ignoring buckling, and
the ultimate moment capacity of the hull is basically expressed as the ultimate
strength of the compression flange multiplied by the elastic section modulus,
with a simple correction for buckling and yielding. The 2nd is an
empirical approach, where an expression is derived on the basis of experimental
or numerical data from scaled or real hull models.
The 3rd is an analytical approach, based on
a presumed stress distribution over the hull section (plane sections remain
plane) from which the moment of resistance of the hull is theoretically calculated,
taking into account buckling in the compression flange and yielding in the
tension flange.
The 1st approach is quite simple, but its
accuracy is usually wanting because, after buckling of the compression flange,
the behaviour of the hull is no longer linear, and the neutral axis changes
position. Empirical formulations (the 2nd approach) may provide
reasonable solutions for conventional hulls, but one has to be careful in using
empirical formulations for new and general-type hulls, since they are usually
derived on the basis of limited data, or for a particular hull form, using an
empirical formulation. On the other hand, analytical formulations (the 3rd
approach) can be applied to new or general hulls because they include section effects
more precisely.
The ship hull ultimate strength formula is eventually
expressed as a function of design parameters related to geometric and material properties
including plate thickness, yield strength and Young’s modulus. When
time-variant structural degradation (e.g. corrosion) is considered, the value
of member thickness at any particular time is a function of such damage. In
probability-based design methods, all the design parameters are treated as the
random variables. The hull ultimate strength formula for hogging normally
differs from that for sagging.
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