李楷

个人信息Personal Information

副教授

硕士生导师

性别:男

毕业院校:大连理工大学

学位:博士

所在单位:船舶工程学院

学科:船舶与海洋结构物设计制造

电子邮箱:likai@dlut.edu.cn

扫描关注

论文成果

当前位置: 中文主页 >> 科学研究 >> 论文成果

An isogeometric analysis approach for hull structural mechanical analysis

点击次数:

论文类型:会议论文

发表时间:2018-06-10

收录刊物:EI

卷号:2018-June

页面范围:421-427

摘要:In this paper, an Isogeometric Analysis (IGA) method is proposed for hull structural mechanical analysis of floating structures such as ships, platforms, and very large floating structures etc. In this method, the plates of hull structure, including all kinds of planar plates and surface plates, are represented by B-spline surfaces. Taking the basic function of B-spline as shape function, the geometric matrix of the B-spline surface is derived in the local coordinate system. After that, the stiffness matrix of B-spline surface is obtained. The global equilibrium equations, which consist of global stiffness matrix and global outer force vector, are obtained by assembling the stiffness matrices of all B-spline surfaces after coordinate transformation. By solving the global equilibrium equation, into which end boundary conditions are added, the displacements of control points for all B-spline surfaces are calculated. Then the strain vector as well as stress matrices of B-spline surface for all plates are obtained by substituting the displacements vector into geometric matrix and stiffness matrix of each B-spline surface. The validity and precision of the proposed hull structural IGA method is proved by applying it into a typical hull segment structural analysis, the results of which are compared with that of traditional FEM. In the typical load cases, the displacement errors of the two numerical methods are smaller than 1.0%, which proves that the proposed hull structure IGA method is accurate enough for engineering practice. Being different from the traditional FEM, IGA does not need structure discretization, and it solves the structural mechanical problem via exactly the same geometry model of CAD system. So theoretically, it is more efficient and more accurate than the traditional FEM. Copyright © 2018 by the International Society of Offshore and Polar Engineers (ISOPE).