Displacement volume is a key geometric parameter governing ship buoyancy and load capacity, significantly influencing hydrodynamic and operational performance. In hull form optimization, it is commonly imposed as a constraint to limit its variation and ensure design feasibility. However, when applying common deformation methods such as the shifting method, the mapping relationship between design variables and displacement volume change remains unclear, hindering precise volume control. Traditional hull form optimization relies on an empirical “design-verification-adjustment" iterative process, requiring repeated verification of volume constraints and gradual adjustment of the design space, resulting in low efficiency. In this study, an analytical expression for volume variation under the shifting method is derived for the first time, based on the principles of integral calculus and numerical computation. This enables the direct prediction of volume variation without the need for actual deformation, thereby avoiding the iterative trial-and-error adjustment of both new hull forms and design spaces. Additionally, a geometric feasibility criterion for the deformed hull is established using the principles of differential calculus. To validate the proposed method, a numerical study was conducted on Series 60 hull using 250 sample points. The results show excellent agreement between the volume changes computed by the derived expression and those obtained from hydrostatic principles, confirming the reliability of both the expression and the feasibility criterion. Furthermore, a resistance optimization case study was carried out for Series 60 hull at a typical speed, incorporating strict volume constraints and deformation rationality controls. A total resistance reduction of 9.55% was achieved, demonstrating the practical engineering value of the proposed methodology. This framework enables precise and direct control over displacement volume during deformation, transforming the traditional iterative empirical process into a deterministic one-step calculation, thereby significantly improving the efficiency and reliability of hull form optimization.
扫码关注我们
求助内容:
应助结果提醒方式:
