Application of consistent mass matrix to vector form intrinsic finite element

被引：0
|
作者：
Yuan X. [1 ]
Samy A. [1 ]
Ma S. [1 ]
机构：
[1] Space Structures Research Center, Zhejiang University, Hangzhou
来源：
Huazhong Keji Daxue Xuebao (Ziran Kexue Ban)/Journal of Huazhong University of Science and Technology (Natural Science Edition) | 2019年 / 47卷 / 11期
关键词：
Consistent mass matrix; Dynamic response; Lumped mass matrix; Truss structure; Vector form of intrinsic finite element;
D O I：
10.13245/j.hust.191107
中图分类号：
学科分类号：
摘要：
In order to study the application of consistent mass matrix to the vector form of intrinsic finite element (VFIFE) analysis, the particle motion equation based on the second type of Lagrange equation was established.The consistent mass matrix, lumped mass matrix and force matrix were derived from the energy principle, and the bearing constraints were processed.The vectorization equations of consistent mass matrix and lumped mass matrix were contrasted in various aspects.Two numerical examples were illustrated, in which the dynamic response by two kinds of mass matrices was calculated and compared with vector form of intrinsic finite element, rigid body dynamics as well as ANSYS analysis results.Results show that consistent mass matrix has better computational accuracy in the transient dynamic analysis and rigid body rotation, while two mass matrices have slight difference in the analysis of rigid body translation, which confirms the applicability and efficiency of consistent mass matrix in VFIFE analysis. © 2019, Editorial Board of Journal of Huazhong University of Science and Technology. All right reserved.
引用
收藏
页码：37 / 42
页数：5
相关论文
共 5 条
  • [1] Ting E.C., Wang Y.K., Fundamentals of a vector form intrinsic finite element, part I: basic procedure and a plane frame element, Journal of Mechanics, 20, 2, pp. 113-122, (2004)
  • [2] Li X.M., Guo X.L., Guo H.Y., Vector form intrinsic finite element method for nonlinear analysis of three-dimensional marine risers, Ocean Engineering, 161, pp. 257-267, (2018)
  • [3] Kan Z.Y., Peng H.J., Chen B.S., Et al., Nonlinear dynamic and deployment analysis of clustered tensegrity structures using a positional formulation FEM, Compo-site Structures, 187, pp. 241-258, (2018)
  • [4] Stavrinidis C., Clinckemaillie J., Dubois J., New concepts for finite-element mass matrix formulations, AIAA Journal, 27, 9, pp. 1249-1255, (1989)
  • [5] Archer G.C., Whalen T.M., Development of rotationally consistent diagonal mass matrices for plate and beam elements, Computer Methods in Applied Mechanics and Engineering, 194, 6-8, pp. 675-689, (2005)
1