Browse > Article
http://dx.doi.org/10.5000/EESK.2003.7.3.039

Efficient Vector Superposition Method for Dynamic Analysis of Structures  

김병완 (한국과학기술원 건설 및 환경공학과)
정형조 (세종대학교 토목환경공학과)
김운학 (국립한경대학교 토목공학과)
이인원 (한국과학기술원 건설 및 환경공학과)
Publication Information
Journal of the Earthquake Engineering Society of Korea / v.7, no.3, 2003 , pp. 39-45 More about this Journal
Abstract
Modified Lanczos vector superposition method is proposed for efficient dynamic analysis of structures, The proposed method is based on the modified Lanczos algorithm that generates stiffness-orthonormal Lanczos vectors. The proposed Lanczos vector superposition method has the same accuracy and efficiency as the conventional Lonczos vector superposition method in the analysis of structures under single input loads. On the other hand, the proposed method is more efficient than the conventional method in the analysis of structures under multi-input loads. The effectiveness of the proposed method is verified by analyzing two numerical examples.
Keywords
dynamic analysis of structures; vector superposition method; Lanczos vector;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Wilson, E. L., “A new method of dynamic analysis for linear and nonlinear systems,” Finite Elements in Analysis and Design, Vol. 1, 1985, pp. 21-23.   DOI   ScienceOn
2 Nour-Omid, B. and Clough, R. W., “Dynamic analysis of structures using Lanczos co-ordinates,” Earthquake Engineering and Structural Dynamics, Vol. 12, 1984, pp. 565-577.   DOI
3 Pan, T. C. and Li, J., “Dynamic vehicle element method for transient response of coupled vehicle-structure systems,” ASCE Journal of Structural Engineering, Vol. 128, No. 2, 2002, pp. 214-223.   DOI   ScienceOn
4 Park, K. S., Jung, H. J., and Lee, I. W., “A comparative study on aseismic performances of base isolation systems for multi-span continuous bridge,” Engineering Structures, Vol. 24, 2002, pp. 1001-1013.   DOI   ScienceOn
5 Wilson, E. L., Yuan, M. W., and Dickens, J. M., “Dynamic analysis by direct superposition of Ritz vectors,” Earthquake Engineering and Structural Dynamics, Vol. 10, 1982, pp. 813-821.   DOI
6 Bayo, E. P. and Wilson, E. L., “Use of Ritz vectors in wave propagation and foundation response,” Earthquake Engineering and Structural Dynamics, Vol. 12, 1984, pp. 499-505.   DOI
7 Mehai, L., Paultre, P., and Leger, P., “Efficiency of modal analysis to compute the seismic response of damfoundation systems with non-proportional damping,” Engineering Computations, Vol. 12, 1995, pp. 333-342.   DOI   ScienceOn
8 Leger, P., “Load dependent subspace reduction methods for structural dynamic computations,” Computers and Structures, Vol. 29, No. 6, 1988, pp. 993-999.   DOI   ScienceOn
9 Nour-Omid, B. and Clough, R. W., “Block Lanczos method for dynamic analysis of structures,” Earthquake Engineering and Structural Dynamics, Vol. 13, 1985, pp. 271-275.   DOI
10 Nour-Omid, B. and Regelbrugge, M. E., “Lanczos method for dynamic analysis of damped structural systems,” Earthquake Engineering and Structural Dynamics, Vol. 18, 1989, pp. 1091-1104.   DOI
11 Leger, P. and Wilson, E. L., “Generation of load dependent Ritz transformation vectors in structural dynamics,” Engineering Computations, Vol. 4, 1987, pp. 309-318.   DOI
12 Lanczos, C., “An iteration method for the solution of the eigenvalue problem of linear differential and integral operators,” Journal of Research of the National Bureau of Standards, Vol. 45, No. 4, 1950, pp. 255-282.   DOI
13 Ibrahimbegovic, A., Chen, H. C., Wilson, E. L., and Taylor, R. L., “Ritz method for dynamic analysis of large discrete linear systems with non-proportional damping,” Earthquake Engineering and Structural Dynamics, Vol. 19, 1990, pp. 877-89.   DOI
14 Chen, H. C. and Taylor, R. L., “Solution of viscously damped linear systems using a set of load-dependent vectors,” Earthquake Engineering and Structural Dynamics, Vol. 19, 1990, pp. 653-65.   DOI