摘要
在对船体结构进行相似缩比试验设计时,通常采用方向性量纲分析法。然而,传统的基于弹性理论的量纲分析法不能反映结构材料非线性过程,因而限制了其在船体结构缩比模型极限强度试验中的应用。本文基于有限相似方法,通过匹配物理空间与试验空间中的输运方程,获得结构几何尺寸、材料密度和时间的比例因子,推导得到加筋板结构缩比模型与原模型的非线性过程相似关系,分析材料参数对非线性相似过程的影响。通过开展不同缩比比例、不同材料参数的加筋板轴压极限强度数值计算,验证基于有限相似方法缩比准则的有效性。分析表明,基于有限相似方法的轴压加筋板极限强度缩比准则可以很好地体现材料的非线性特性,可以通过缩比模型结果对原模型的极限强度取得良好的预报效果。
The directional dimensional analysis method is commonly used in the design of similar scale down models of hull structures.However,the traditional dimensional analysis method based on elastic theory cannot reflect the nonlinear response process of a structure,which limits its application in the scale down model test of hull structures.In this paper,based on the finite similarity method,the scale-down factors of the geometric dimension,material density and time of a structure were obtained by matching the transport equations in the physical space and the trial space.The nonlinear similarity relationship between the scaled down model of the stiffened plate structure and the prototype was derived,and the influence of the material parameters on the nonlinear similarity process was analyzed.By calculating the ultimate strength of the stiff⁃ened plates subjected to plain compression,the effectiveness of the scaling criterion based on the finite simi⁃larity method was verified.The result shows that the present method can well reflect the nonlinear character⁃istics of materials,and achieve a good prediction on the ultimate strength of the original model through the re⁃sults of the scale down model.
作者
孔祥韶
许崇喜
王卓
周沪
郑成
吴卫国
KONG Xiang-shao;XU Chong-xi;WANG Zhuo;ZHOU Hu;ZHENG Cheng;WU Wei-guo(Green&Smart River-Sea-Going Ship,Cruise and Yacht Research Center,Wuhan University of Technology,Wuhan 430063,China;School of Naval Architecture,Ocean and Energy Power Engineering,Wuhan University of Technology,Wuhan 430063,China)
出处
《船舶力学》
EI
CSCD
北大核心
2024年第8期1230-1243,共14页
Journal of Ship Mechanics
基金
国家自然科学基金资助项目(52171318)。
关键词
输运方程
试验设计模型
轴向压缩
有限相似方法
极限载荷
transport equation
experimental design model
axial compression
finite similarity method
ultimate load
