波形阻力预估及船型优化

本文用线性兴波理论建立了波形阻力的理论公式（数学模型）,从理论上考虑了主尺度和系数、横剖面形心高及棱形曲线对波阻的影响;根据17艘肥大船模65种状态的实测波形资料,用统计分析法计算得出一组随傅氏数而异的波形阻力预估公式;为使数学模型付诸电算,定义了属统计学范畴的“广义相关系数”。本项研究发现横剖面形心高对波形阻力影响甚大,其对肥大船波阻之影响超过横剖面面积的影响;为判断船舶在某航速下,两者对波阻的影响何者更大,定义了“影响因子”及其曲线。本文用非线性规划理论复形法优化船型,使改进船比原船波阻显著下降。

Estimation of Wave-Pattern Resistance to Ships and Optimization of Hull Forms

A theoretical formula for wave-pattern resistance, i. e., a statistical mathematical model, is developed using the linear wave-making theory. The effect of principal dimensions, vertical centers of transverse sections and the prismatic curve on wave-pattern resistance is studied. According to the test data by wave-pattern measurement on 65 full ship models, a series of estimation formulae at different Froude numbers are obtained. The author has defined a General Related Coefficient to enable computation with the mathematical model. It has been found that the vertical center of a section is of great importance to wave-pattern resistance. Its influence on the resistance to a full ship is greater than that of the section area. The influence factors and their curves are defined to determine which of the two factors is more important to the resistance to a ship at a certain speed. The formulae are also effective for optimizing hull forms. Afull ship form is optimized in accordance with the theory of nonlinear programming. The estimation results of the improved form show that its wave-pattern resistance is significantly reduced.