Abstract
THIS PAPER DESCRIBES AN EXTENDED FORMULATION FOR THE COUPLED BEAM METHOD (CBM). THE METHOD IS ORIGINALLY DEVELOPED FOR ELASTIC BENDING RESPONSE ANALYSIS OF PASSENGER SHIPS WITH LARGE MULTI-DECK SUPERSTRUCTURES. THE EXTENSION IS MAINLY PERFORMED TO ENABLE THE AVAILABLE METHOD IN ORDER TO STUDY ELASTIC BENDING BEHAVIOUR OF SHIPS FITTED WITH SUPERSTRUCTURES OF ANY SIZE AND ANY LOCATION. FINITE ELEMENT METHOD (FEM) IS APPLIED FOR SOLVING THE EQUILIBRIUM EQUATIONS. BOTH HULL AND SUPERSTRUCTURE OF THE SHIP ARE MODELLED USING BEAM ELEMENTS. THE CONNECTION BETWEEN BEAM ELEMENTS REPRESENTING HULL AND SUPERSTRUCTURE IS MADE USING SPECIALLY DEVELOPED SPRING BOX ELEMENTS. THE ACCURACY OF THE EXTENDED METHOD IS DEMONSTRATED USING AN AVAILABLE EXPERIMENTAL RESULT. THEN, TWO SIMPLIFIED STRUCTURES, ONE REPRESENTING A SHIP WITH A SHORT SUPERSTRUCTURE AND THE OTHER ONE REPRESENTING A SHIP WITH A LONG SUPERSTRUCTURE, ARE ANALYSED IN ORDER TO VALIDATE THE EXTENDED COUPLED BEAM METHOD AGAINST THE FINITE ELEMENT METHOD. IN SPITE OF SOME EXISTING SIMPLIFICATIONS IN THE EXTENDED FORMULATION, IT IS VERY EFFECTIVE IN THE EARLY STAGES OF SHIP STRUCTURAL DESIGN OWING TO ITS ADVANTAGEOUS CAPABILITY OF RAPID ESTIMATION OF THE LONGITUDINAL STRESS DISTRIBUTIONS ALONG THE HEIGHT OF ANY SHIP AT ANY SPECIFIC STATION.
Highlights
Size and location of superstructures fitted on the deck of ship’s hull structures depend on the ship type
This paper describes an extended formulation for the coupled beam method (CBM), following the work of Naar et al [21]
This paper was aimed at investigation bending response of the ships considering the contribution of the superstructure
Summary
Size and location of superstructures fitted on the deck of ship’s hull structures depend on the ship type. Crawford [7] was the first to develop the method based on the two-beam theory, taking into account the longitudinal shear force and the vertical force due to the hull-superstructure interaction. Naar et al [21] proposed a coupled beam method (CBM) for longitudinal bending response analysis of passenger ships with long multi-deck superstructures above the deck. They considered superstructures with the length equal to the ship’s length. Morshedsolouk et al / An extension of CBM and its application to ship’s hull-superstructure interaction problems Figure 2 Basic concept of discretisation of a multi-deck ship into a set of coupled beams.
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