船舶在结构设计以及安全航行中,需要充分考虑风、波浪、海流、海冰等海洋环境对船体结构的影响。为了更快捷、更精确计算分布在船体结构的环境载荷,本文提出一种基于径向基函数载荷传递的计算方法。数学模型分别采用紧支和非紧支径向基函数点插值方法,能够将作用在船体结构的环境载荷进行空间映射及插值。通过这种方式,环境载荷可以有效地传递到船体结构有限元网格上。为了验证载荷传递效果,结合算例进行了相关验证。将径向基函数插值方法与临近点加权平均法插值方式在不同网格上的插值精度、插值效率等进行对比。结果显示,径向基函数载荷传递方法在精度和效率上表现出色,证实了其精确性和合理性。本文研究内容为船舶和海工平台在海洋环境下的载荷精确传递与结构评估提供了技术支撑。
In the structural design as well as safe navigation of ships, the effects of the marine environment such as wind, waves, currents, sea ice, etc. on the hull structure need to be fully considered. In order to calculate the environmental loads distributed in the hull structure more quickly and accurately, this paper proposes a calculation method based on radial basis function load transfer. The mathematical model adopts tightly supported and non-tightly supported radial basis function point interpolation methods respectively, which can spatially map and interpolate the environmental loads acting on the hull structure. In this way, the environmental loads can be effectively transferred to the finite element mesh of the hull structure. In order to verify the effect of load transfer, the relevant verification is carried out in combination with an arithmetic example. The radial basis function interpolation method is compared with the proximity weighted average interpolation method in terms of interpolation accuracy and interpolation efficiency on different meshes. The results show that the radial basis function load transfer method performs well in terms of accuracy and efficiency, confirming its accuracy and rationality. The research content of this paper provides technical support for the accurate load transfer and structural evaluation of ships and offshore platforms in the marine environment.
2025,47(15): 18-23 收稿日期:2024-10-10
DOI:10.3404/j.issn.1672-7649.2025.15.004
分类号:U662
作者简介:张华(1988-),男,高级工程师,研究方向为海洋平台性能分析预报
参考文献:
[1] 汪学锋, 贺晓燕, 吴龙周, 等. Fluent与Patran的接口实现及其在船舶力学中的应用[J]. 船舶力学, 2006(4): 49-53.
WANG X F, HE X Y, WU L Z, et al. Interface realization between Fluent and Patran and its application in ship mechanics[J]. Journal of Ship Mechanics, 2006(4): 49-53.
[2] 冯国庆, 崔兵兵, 任慧龙, 等. 水动力网格至结构网格的压力传递算法研究[C]//船舶水动力学学术会议, 2013.
[3] 任慧龙, 孙葳, 李辉, 等. 基于水动力-结构模型的波浪载荷计算方法[J]. 哈尔滨工程大学学报, 2014(7): 795-799.
REN H L, SUN W, LI H, et al. A calculation method of wave loads based on the hydro-structural model[J]. Journal of Harbin Engineering University, 2014(7): 795-799.
[4] BUHMANN M D. Radial basis function: theory and implementations[M]. Cambridge, UK: Cambridge University Press, 2004.
[5] WU Z M. Multivariate compactly supported positive definite radial functions[J]. Advances in Computational Mathematics, 1995, 4(5): 283-292.
[6] WU Z M. Radial basis function scattered data interpolation and the meshless method of numerical solution of PDEs[J]. Journal of Engineering Mathematics, 2002, 19(2): 1-12.
[7] FRANK R. Scattered data interpolation: tests of some methods[J]. Math Comp, 1982, 38(175): 191-200.
[8] HARDY R L. Multiquadric equation of topography and other irregular surfaces[J]. Journal of Geophysical Research, 1971, 76(8): 1905-1915.
[9] 汪学锋, 李锋, 周炜, 等. 流固耦合网格插值方法研究[J]. 船舶力学, 2009, 13(4): 571-578.
WANG X F, LI F, ZHOU W, et al. Research on grid interpolation method of fluid-structure coupling[J]. Journal of Ship Mechanics, 2009, 13(4): 571-578.
[10] LIU G R, GU Y T. 无网格法理论及程序设计[M]. 济南: 山东大学出版社, 2007.