Dynamic analysis of bounded domains by SBFE and the improved continued-fraction expansion

被引：0

作者：

机构：

[1] Department of Engineering Mechanics, Hohai University

来源：

Chen, D. (chdenghong@yahoo.com.cn) | 1600年 / Chinese Society of Theoretical and Applied Mechanics卷 / 45期

关键词：

Bounded domain; Generalized eigenvalue; Improved continued-fraction expansion; The scaled boundary finite element method; Time-domain analysis;

D O I：

10.6052/0459-1879-12-198

中图分类号：

学科分类号：

摘要：

By using the continued-fraction solution and introducing auxiliary variables, the dynamic stiffness and mass matrices of bounded domains are expressed in high-order matrices. The formulation is based on an improved continued-fraction solution of the scaled boundary finite element equation in dynamic stiffness. This continued-fraction solution converges over the whole frequency range with increasing order of expansion. Compared to the original approach, it leads to numerically more robust for large-scale systems and arbitrarily high orders of expansion. The eigenvalue problem of a regular octagon is considered. Transient analysis of a bounded rectangular plane is also presented. The results of two numerical examples demonstrate that the proposed method is superior to the original approach and it is suitable for dynamic analysis of large-scale systems.

引用

页码：297 / 301

页数：4

共 14 条

[1]

Wolf J.P., Song C., Finite-element Modelling of Unbounded Media, (1996)

[2]

Wolf J.P., The Scaled Boundary Finite Element Method, (2003)

[3]

Deeks A.J., Wolf J.P., A virtual work derivation of the scaled boundary finite-element method for elastostatics, Computational Mechanics, 28, pp. 489-504, (2002)

[4]

Jiang S., Du C., A novel enriched function of elements containing crack tip for fracture analysis in XFEM, Chinese Journal of Theoretical and Applied Mechanics, 45, 1, pp. 134-138, (2013)

[5]

Jiang S., Du C., Study on numerical precision of extended finite element methods for modeling weak discontinuities, Chinese Journal of Theoretical and Applied Mechanics, 44, 5, pp. 1005-1015, (2012)

[6]

Song C., Bazyar M.H., Development of a fundamental-solution-less boundary element method for exterior wave problems, Communications in Numerical Methods in Engineering, 24, pp. 257-279, (2008)

[7]

Bazyar M.H., Song C., A continued-fraction-based high-order transmitting boundary for wave propagation in unbounded domains of arbitrary geometry, International Journal for Numerical Methods in Engineering, 74, pp. 209-237, (2008)

[8]

Song C., The scaled boundary finite element method in structural dynamics, International Journal for Numerical Methods in Engineering, 77, pp. 1139-1171, (2009)

[9]

Birk C., Prempramote S., Song C., An improved continued-fraction based high-order transmitting boundary for time-domain analyses in unbounded domains, International Journal for Numerical Methods in Engineering, 89, pp. 269-298, (2012)

[10]

Song C., A super-element for crack analysis in the time domain, International Journal for Numerical Methods in Engineering, 61, pp. 1332-1357, (2004)

← 1 2 →