无单元伽辽金法在船体开孔板格弹性屈曲分析中的应用  

Application of element-free Galerkin method on elastic buckling analysis of hull perforated panel

作　　者：杨源 莫中华 孙启荣 沈亚明 Yang Yuan;Mo Zhonghua;Sun Qirong;Shen Yaming(Nantong COSCO KHI Ship Engincering Co.,Ltd.,226005,Nantong,China)

机构地区：[1]南通中远海运川崎船舶工程有限公司,南通226005

出　　处：《应用力学学报》2020年第3期1367-1374,I0032,共9页Chinese Journal of Applied Mechanics

摘　　要：针对船体开孔板格弹性屈曲问题,评估了无单元伽辽金法(EFG)的适用性。编程计算分别基于MLS近似和移动Kriging插值两种形函数构造方式进行,以ABAQUS有限元解为基准确定了两种算法最佳内置参数,对比分析了计算耗时和相对误差。结果表明:MLS-EFG算法在不同的板格尺寸、开孔位置、载荷条件下的结果都比较准确,具有较好的适用性;而MK-EFG算法的计算速度更优,但在纯剪切屈曲分析时计算结果存在一定程度的正偏差。本研究可为无网格法在船体结构设计中的推广应用提供参考。Focused on elastic buckling of hull perforated panel,applicability of element free Galerkin method(EFG)is assessed.Programmed calculation are respectively made based on two ways of shape function construction,including moving least-squares(MLS)method and moving Kriging(MK)interpolation method.With ABAQUS finite element method solution as the benchmarks,the optimum algorithm built-in parameter are determined,cost time and calculation error are compared among MLS-EFG,MK-EFG and finite element method.As conclusion,MLS-EFG can accurately get the buckling results under different input conditions,which can be considered quite practical,and MK-EFG has a higher computation speed,but a relatively large positive deviation exists under pure shear loading condition.This study provides a reference for popularization and application of element-free method in hull structure design.

关 键 词：无单元伽辽金方法 开孔板格 移动最小二乘近似 移动克里金插值 

分 类 号：U661.4[交通运输工程—船舶及航道工程]