Browse > Article

Study on the Dynamic Analysis Based on the Reduced System  

Kim, Hyung-Gi (한국항공우주연구원 항공사업단)
Cho, Maeng-Hyo (서울대학교 기계항공공학부)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.21, no.5, 2008 , pp. 439-450 More about this Journal
Abstract
In this study, the reduced system for the dynamic analysis is proposed and the selection criterion of the primary degrees of freedom is presented considering the relation between natural frequency and external loading frequency. A well-constructed reduced system can assure the accurate representation of the dynamic behavior under arbitrary dynamic loads. For selecting the primary degrees of freedom of the reduced system, we employ the robust two-level condensation scheme of which the reliability has been proven through previous study. In the numerical examples, the reliability of the dynamic analysis based on the reduced system is demonstrated through comparing with those of global system.
Keywords
reduced system; two-level condensation scheme(tlcs); sequential elimination method(sem); ritz vector;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Shah, V.N., Raymund, M. (1982) Analytical selection of masters for the reduced eigenvalue problem, International Journal for Numerical Methods in Engineering, 18, pp.89-98   DOI   ScienceOn
2 Zhang, D.W., Li, S. (1995) Succession-level approximate reduction(SAR) technique for structural dynamic model, Analysis conference(Nashville,TN), Union college press, Schenectady, NY, pp.435-441
3 Kidder, R.L.(1973) Reduction of structural frequency equations. AIAA Journal, 11(6), p.892   DOI
4 Matta, K.W. (1987) Selection of degrees of freedom for dynamic analysis, Journal of pressure vessel technology, 109(1), pp.65-69   DOI
5 Cho, M., Kim, H. (2004) Element-based node selection method for reduction of eigenvalue problems, AIAA Journal, 42(8), pp.1677-1684   DOI   ScienceOn
6 O'Callahan, J. (1989) A procedure for an improved reduced system(IRS) model, Proceedings of the 7th international modal analysis conference, Union college, Schenectady. NY. pp.17-21
7 Kim, K.O., Choi, Y.J. (2000) Energy method for selection of degrees of freedom in condensation, AIAA Journal, 38, pp.1253-1259   DOI   ScienceOn
8 Kim, H., Cho, M. (2006) Two-level scheme for selection of degrees of freedom and semi-analytic sensitivity based on the reduced system, Computer Methods in Applied Mechanics and Engineering, 195(33-36), pp.4244-4268   DOI   ScienceOn
9 Guyan, R.J. (1965) Reduction of stiffness and mass matrices, AIAA Journal, 3(2), p.380   DOI
10 Henshell, R.D., Ong, J.H. (1975) Automatic masters from eigenvalues economization. Journal of Earthquake Engineering and Structural Dynamics, 3, pp.375-383   DOI   ScienceOn