Precise integration method for Duhamel terms arising from non-homogenous dynamic systems

Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics

Volumn 39, Issue 3, 2007, Pages 374-381

  Tan, Shujun ^a   Zhong, Wanxie ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Addition theorem; Duhamel's integration; Increment storage; Matrix exponential; Non homogeneous equations; Precise integration method

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; INTEGRATION; POLYNOMIALS;

ADDITION THEOREM; INCREMENT STORAGE; MATRIX EXPONENTIAL; NONHOMOGENEOUS EQUATIONS; PRECISE INTEGRATION METHOD;

DYNAMICAL SYSTEMS;

EID: 34250304360     PISSN: 04591879     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. Zhong Wanxie. On precise time-integration method for structural dynamics. Journal of Dalian University of Technology, 1994, 34(2): 131-136 (in Chinese)
2. Zhong Wanxie. Precise computation for transient analysis. Computational Structural Mechanics and Applications, 1995, 12(1): 1-6 (in Chinese)
3. Lin JH, Shen WP, Williams FW. Accurate high-speed computation of nonstationary random seismic response. Engineering Structures, 1997, 19(7): 586-593
4. Zhang Senwen, Cao Kaibin. Direct integration of state equation method for dynamic response of structure. Chinese Journal of Computational Mechanics, 2000, 17(1): 94-97 (in Chinese)
5. Wang Mengfu, Zhou Xiyuan. Renewal precise time step integration method of structural dynamic analysis. Acta Mechanica Sinica, 2004, 36(2): 191-195 (in Chinese)
6. Yan Haiqing, Tang Chen, Liu Ming, et al. The arbitrary order explicit precise time integration method for stiff equations. Chinese Journal of Engineering Mathematics, 2004, 21(6): 1037-1040 (in Chinese)
7. Gu Yuanxian, Chen Biaosong, Zhong Hongwu. Precise time-integration with dimension expanding method. Acta Mechanica Sinica, 2000, 32(4): 447-456 (in Chinese)
8. Zhang Suying, Deng Ziehen. Incremental-dimensional precise integration method for nonlinear dynamic equation. Chinese Journal of Computational Mechanics, 2003, 20(4): 423-426 (in Chinese)
9. Franklin Geene F, Powell J David, Workmen Michael. Digital Control of Dynamics Systems. Third Edition. Beijing: Tsinghua University Press, 2001