Page 263 - Practical Design Ships and Floating Structures
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             INTRODUCTION

              Current structural design of surface ships is based on deterministic analysis methodologies and design
             rules/requirements  which  are highly  dependent  upon  test  data and  at-sea  experience.  Analysts  and
             designers are faced with numerous sources of uncertainty and product variability during ship design. In
             traditional  ship  structure  designs,  uncertain  parameters  are  treated  as  deterministic  variables  and
             empirical  factors-of-safety  are  used  to  account  for  uncertainties.  Factors-of-safety  are  determined
             based  on past experience,  but  do not guarantee safety or  satisfactory performance, nor provide  any
              information on how the different parameters of the ship structure influence safety. Thus, it is difficult
             to design a ship system with a uniform distribution of safety among the different components using
              factors-o f-safety .
              Surface  ships  must  survive  a  hostile  environment.  Ship  vulnerability  assessment  is  important  in
              identifying the levels of operational capability that must remain after a ship is damaged under extreme
              dynamic loads. IJnder extreme environments, experirnenta! observations have shown that the loading
             process is non-Gaussian  and non-stationary  and the ship structural response  is nonlinear. Nonlinear
              structural response is induced by the initiation and progression of multiple local damages, such as local
              in-elastic/plastic deformation,  stiffener tripping, panel buckling, or fracture. The complexity of fluid-
              structure interaction  phenomena  renders the  assumption on the  loading  process  (Le.  stationary  and
              Gaussian)  invalid.  The  conventional  approach,  based on linear  random  vibration  theories  and peak
              statistics, is inapplicable for the probabilistic vulnerability assessment of surface ships subjected to an
              extreme  environment.  Therefore,  it  is  imperative  to  develop  a  generalized,  simulation-based,
              probabilistic analysis tool which has no limit on the nature of input random processes (Gaussian, non-
              Gaussian, stationary, or non-stationary) and system characteristics (linear or nonlinear).

              The ship structural  design process  should maximize structural performance  and minimize life-cycle
              costs and weight, while ensuring an acceptable risk of failurc under operational, seaway and extreme
              dynamic loads.  Reliability-based  design uses probabilistic  methods to measure  all uncertainties and
              maximizes  structural  performance  for  an acceptable  level  of  structural  safety  and  reliability.
              Reliability-based  ship  structural  design  will  provide  the  best  solution  in the  light  of  the  available
              knowledge,  tools  and consequent  uncertainty  (White et al.,  1995). The two primary  benefits  of the
              reliability-based approach are: 1) a formal and traceable measure of risk or safety in a new ship design
              with the use of advanced materials and unconventional hull geometry; and 2) the ability to evaluate the
              relative importance of various design options on the safety of ship structural components and provide a
              consistent level of safety and eficiency throughout the ship (Mansour, 1990; Hess and Ayyub, 1997).
              In order to perform the probabilistic vulnerability assessment of surface ships under extreme dynamic
              loads, a stochastic finite element tool, SIMLAB has been developed by integrating the nonlinear finite
              element  code,  DYNA3D,  into  a  simulation  based  probabilistic  analysis  framework.  SIMLAB  can
              provide probabilistic  failure prediction of a structural system characterized by  both random variables
              and random processes (Lua, 2000). To demonstrate SIMLAB, an elastoplastic beam is subjected to a
              random  excitation  to  explore the  effect  of  material nonlinearity  on probability  of  failure  and  peak
              statistics.
              PULSTR is used to perform a reliability-based assessment of a surface ship structure at its preliminary
              desigdanalysis stage.  The uncertainties  associated with  global hull  geometry,  panels,  hard  comers,
              stiffeners, and material properties are propagated into the hull ultimate strength prediction module. A
              hybrid approach which combines both the MCS and FORM solution modules has been developed to
              assess  the  reliability  level  of  a  Navy  Combatant,  Ship  A,  in  both  its  single  and  double  hull
              configurations.
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