Nonlinear analysis model for the flexible structures with large deformation in ocean engineering

被引：0

作者：

Wei Z. ^{[1
,2
]}

Zhong W. ^{[1
]}

Zhang C. ^{[3
]}

Kang Z. ^{[3
]}

机构：

[1] Marine Design and Research Institute of China, Shanghai

[2] School of Naval Architecture, Ocean & Civil Engineering, Shanghai Jiao Tong University, Shanghai

[3] College of Shipbuilding Engineering, Harbin Engineering University, Harbin

来源：

Harbin Gongcheng Daxue Xuebao/Journal of Harbin Engineering University | 2019年 / 40卷 / 10期

关键词：

Absolute nodal coordinate formulation; Continuum mechanics; Dynamic; Finite element; Flexible structures; Large deformation; Mechanical model; Static;

D O I：

10.11990/jheu.201809021

中图分类号：

学科分类号：

摘要：

To solve large deformation of thin, long, and flexible structures in ocean engineering, a precise mechanical analysis model, suitable for structures with large deformation, was established on the basis of absolute nodal coordinate formulation (ANCF) and several theories of continuum mechanics and the finite element method. By replacing traditional angle coordinates with the slope coordinate in the overall coordinate system, mapping relations of parameters in the current and reference configurations were defined. A method is proposed for describing nonlinear geometrical relations with current configurations. Based on the energy variational principle, a generalized elastic force and stiffness matrix of the element were derived, and the static and dynamic equilibrium equations were then obtained by introducing the mass matrix and the external load matrix, and by conducting the element assembly process using the finite element method. The calculation programs were compiled using FORTRAN, whose reliability and accuracy were then checked by the case of the beam model with analytical solution. Finally, a type of steel-lazy wave catenary riser was taken as an example to compare and analyze their static and dynamic characteristics. Results showed that the ANCF model proposed in this paper can simulate the features of a steel-lazy wave catenary riser, including configurations, extension, and bending moment, with good precision. © 2019, Editorial Department of Journal of HEU. All right reserved.

引用

页码：1667 / 1674

页数：7

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