An adaptive analysis of the ship structures based on meshless local petrov-galerkin method

被引:0
作者
Chen, Jianping [1 ,2 ]
Tang, Wenyong [2 ]
Xu, Yanmin [1 ]
机构
[1] School of Ship Engineering, Guangzhou Maritime Institute, Guangzhou
[2] School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai
来源
Journal of Information and Computational Science | 2015年 / 12卷 / 09期
关键词
Adaptive; Algorithm; MLPG Method; Moving-least Square Technique; Ship Structural Analysis;
D O I
10.12733/jics20106035
中图分类号
学科分类号
摘要
The paper presents an adaptive analysis method to assess the ship structures based on the meshless local Petrov-Galerkin method. The displacement field approximation function is obtained by employing Moving-least Square technique, and the governing formulation and stiffness matrix of the structures are established. Employing Delaunay triangulation refinement scheme, the adaptive algorithm of the governing equations is achieved. Numerical examples show the solutions are good agreement between FEMs and the proposed method, which verifies the validity of the presented method for stress analysis of the ship structures. ©, 2015, Journal of Information and Computational Science. All right reserved.
引用
收藏
页码:3464 / 3474
页数:10
相关论文
共 16 条
[1]  
Sun L.P., Li L.B., Finite Element Analysis of Ship Structures, (2013)
[2]  
Belytschko T., Krongauz Y., Organ D., Et al., Meshless methods: An overview and recent developments, Computer Methods in Applied Mechanics and Engineering, 139, pp. 3-47, (1996)
[3]  
Liu W.K., Hao S., Belytschko T., Et al., Multiple scale meshless methods for damage fracture and localization, Comput. Mater. Sci, 16, pp. 197-206, (1999)
[4]  
Atluri S.N., Shen S., The basis of meshless domain discretization: The meshless local Petrov-Galerkin (MLPG) method, Advances in Computational Mathematics, 23, pp. 73-93, (2005)
[5]  
Oden J.T., Duarte C.A., Zienkiewicz O.C., A new could-based hp finite element method, Int. J. Num. Meth. Engng, 50, pp. 160-170, (1998)
[6]  
Liu G.R., Gu Y.T., Meshless local Petrov-Galerkin method in combination with finite element and boundary element approaches, Computational Mechanics, 26, pp. 536-546, (2000)
[7]  
He P.X., Li Z.X., Wu C.C., Coupled finite element-element-free Galerkin method for dynamic fracture, Chinese Journal of Applied Mechanics, 23, 2, pp. 195-198, (2006)
[8]  
Duan Y., Wang W.S., Et al., Dynamic simulation of single grain cutting of glass by coupling FEM and SPH, Chinese Mechanical Engineering, 24, 20, pp. 2716-2721, (2013)
[9]  
Johnson R.G., Stryk A.R., Beissel R.S., Et al., An algorithm to automatically convert distorted finite element into meshless particles during dynamic deformation, International Journal of Impact Engineering, 27, pp. 997-1013, (2002)
[10]  
Hu D., Han X., Xiao Y.H., Et al., Research developments of smoothed particle hydrodynamics method and its coupling with finite element method, Chinese Journal of Theoretical and Applied Mechanics, 45, 5, pp. 639-652, (2013)