NDLI: Numerical weight function method for the structural analysis of ships: a speedy direct calculation with condensed structural information

Content Provider	Springer Nature Link
Author	Sumi, Yoichi Ya, Takuji Bashar, Awarul T.M.M.
Copyright Year	2005
Abstract	The weight function method was originally derived for crack problems to calculate stress intensity factors for arbitrary loading conditions. In this article, a numerical weight function method has been extended to formulate the structural response analyses of two-dimensional elasticity, plate-bending, and three-dimensional plate-structures by using the finite-element method. The solution procedure is based on the well-known Maxwell–Betti reciprocal theorem, which is applied to the original and properly defined auxiliary problems. The present numerical weight function may be considered as a finite-element version of a Green’s function in an integral equation solution scheme. Although ship structures are certainly analysed by the finite-element method in a practical design procedure, the weight function approach has not yet been realized. The method is very useful for the analysis of structures subjected to a vast range of loading conditions, because structural responses can simply be calculated by the inner product of the universal weight function and load vectors. The validity and convergence characteristics of the present method are investigated by two-dimensional elastic and plate-bending problems, respectively. Finally, the method is applied to the calculation of the response amplitude operator of a stress component at a critical structural detail of a double-hull tanker, and the speed and efficiency of the method are quantitatively discussed based on the practical results.
Starting Page	96
Ending Page	102
Page Count	7
File Format	PDF
ISSN	09484280
Journal	Journal of Marine Science and Technology
Volume Number	10
Issue Number	2
e-ISSN	14378213
Language	English
Publisher	Springer-Verlag
Publisher Date	2005-06-30
Publisher Place	Tokyo
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Weight function Reciprocal theorem Formulation of structural analysis Ship structures Engineering Fluid Dynamics Mechanical Engineering Engineering Design Automotive and Aerospace Engineering, Traffic Offshore Engineering
Content Type	Text
Resource Type	Article
Subject	Oceanography Ocean Engineering Mechanics of Materials Mechanical Engineering

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