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Dynamic Stability Analysis of Nonconservative Systems for Variable Parameters using FE Method  

Lee Jun-Seok (성균관대학교 토목환경공학과)
Min Byoung-Cheol (인덕대학 건설환경전공)
Kim Moon-Young (성균관대학교 토목환경공학과)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.17, no.4, 2004 , pp. 351-363 More about this Journal
Abstract
Equation of motion of non conservative system considering mass matrix, elastic stiffness matrix, load correction stiffness matrix by circulatory force's direction change and Winkler and Pasternak foundation stiffness matrix is derived. Also stability analysis due to the divergence and flutter loads is performed. And the influence of internal and external damping coefficient on flutter load is investigated applying the quadratic eigen problem solution. Additionally the influence of non-conservative force's direction parameter, internal and external damping and Winkler and Pasternak foundation on the critical load of Beck's and Leipholz's and Hauger's columns are investigated.
Keywords
non-conservative force; quadratic eigen problem; beck's column; follower force; winkler foundation; Pasternak foundation;
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  • Reference
1 Lee, S. Y., Yang, C. C., 'Non-conservative instability of non-uniform beams resting on an elastic foundation', Journal of Sound and Vibration, Vol.169 , 1994, pp.433-444
2 Irie, T., Yamada, G., Takahashi, I., 'Vibration and stability of a non-uniform Timoshenko beam subjected to a follower force' , Journal of Sound and Vibration, Vol. 70, 1980, pp.503-512
3 Takqhashi, I., Yoshioka, T., 'Vibration and stability of a non-uniform double-beam subjected to follower forces', Computers and Structures, Vol. 59, 1996, pp.1033-1038
4 Rao, B. N., Rao, G. V., 'Stability of an cantilever column under a tip-concentrated subtangential follower force with the value of sub-tangential parameter close to or equal to 1/2', Journal of Sound and Vibration, Vol.121. 1988, pp.181-188
5 De Rosa, M. A., Franciosi, C., 'The influence of an intermediate support on the stability behaviour of cantilever beams subjected to follower forces', Journal of Sound and Vibration, Vol.137 , 1990, pp.107-115
6 Chen, L. W., Ku, D. M., 'Stability analysis of a Timoshenko beam subjected to distributed follower forces using finite elements', Computers and Structures, Vol. 41. 1991. pp.813-819
7 김문영, 장승필, '감쇠효과를 보려한 비보존력계의 안정성해석', 대한 토목학회 논문집, 제10권, 3호, 1990, pp.57-65
8 Langthjem, M. A., Sugiyama, Y., 'Optimum design of cantilevered columns under the combined action of conservative and nonconservative loads Part I: The undilmped case', Computers and Structures, Vol. 74, 2000, pp.385-398
9 Ringertz, U. T., 'Optimization of eigenvalues in ngnconservative systems, Proceedings of the First World Congress of Structural and Multidisciplinary Optimization', (Olhoff, N. and Rozvany, G. I. N, editors), 1995, pp.741-748
10 김문영, 장승필, '보존력 및 비보존력을 받는 평면뼈대 구조물의 안정성에 관한 연구', 대한 토목학회 논문집, 제2권, 1호, 1990, pp.111-222
11 Takahashi, I. 'Vibration and stability of a nonuniform cracked Timoshenko beam subjected to follower force:', Computers and Structures, Vol. 71, 1999, pp.1585-591
12 Rao, B. N., Rao, G. V., 'Stability of an cantilever column under a tip-concentrated subtangential follower force with damping', Journal of Sound and Vibration, Vol.138, 1990, pp. 341-344
13 Lee, S. Y, Yang., C. C., 'Non-conservative instability of a Timoshenko beam resting on Winkler elastic foundation', Journal of Sound and Vibration, Vol.162 , 1993, pp.l77 -184
14 Guran, A., Rimrott, F. P. J.. 'On the dynamic stability of an elastic rod under a slave tip loading', In Vibration Analysis-Techniques and Appli cations, ASME, Vol.18, 1989, pp.225-228
15 Leipholz, H .. Stability of Elastic Systems, Sijthoff and Noordhoff The Netherlands, 1980
16 Rao, B. N., Rao, G. V., 'Applicability of static or dynamic criterion on the stability of a cantilever column under a tip concentrated subtangential follower force', Journal of Sound and Vibration, Vol.118, 1987, pp.197-200
17 Yokoyama, T., 'Vibration Analysis of Timoshenko Beam-Columns on Two-Parameter Elastic Foundations', Computers and Structures, Vol.61, 1996, pp.995-1007
18 이병구, 최규문, 이태은, 김무영, '미분구적법(DQM)을 이용한 탄성지반 위에 놓인 변단면 압축부재의 자유진동 해석', 한국전산구조공학회 논문집, 제15권, 4호, 2002, pp.629-638
19 SugiYama, Y., Katayama, K., Kiriyama, K., 'Experimental verification of dynamic stability of vertical cantilevered columns subjected to a sub-tangential force', Journal of Sound and Vibration, Vol.236, 2000, pp.193-207
20 Kim, J. H., Choo, Y. S., 'Dynamic stability of a free-free Timoshenko beam subjected to a pulsating follower force', Journal of Sound and Vibration, Vol.216, 1998, pp.623-636