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Transient Behaviour of Columns under Follower Forces

Identyfikatory
Warianty tytułu
Konferencja
Polish-German Workshop on Dynamical Problems in Mechanical Systems (9 ; 4-10.09.2005 ; Paszkówka, Poland)
Języki publikacji
EN
Abstrakty
EN
We study the transient behaviour of solutions to the equation of motion of a column under follower forces. The boundary conditions relate the lateral force acting at the upper end of the column to position, speed and tilt. We are not restricted to linear conditions. Further, the influence of the thickness function is considered.
Słowa kluczowe
Rocznik
Strony
7--20
Opis fizyczny
Bibliogr. 27 poz., wykr.
Twórcy
autor
  • Polish Academy of Sciences, Institute of Fundamental Technological Research
  • University of Rostock, Faculty of Mathematics and Natural Sciences
Bibliografia
  • 1. Błachut, J., Gajewski, A., 1980, A unified approach to optimal design of columns, Solid Mechanics Archives, 5, No 4, 363-413.
  • 2. Bogacz, R., Imielowski, Sz., 1990, On the discontinuous changes of critical force for columns with transverse-slidable joint under follower load, in: Stability of steel structures (Ivanyi, M., Ed.), Budapest: Akademiai Kiado, 355-363.
  • 3. Bogacz, R., Imielowski, Sz., 1994, Remarks on stability of discrete-continuous structure under circulatory load, J. Theor. Appl. Mechanics, 4, No 32, 903-919.
  • 4. Bogacz, R., Imielowski, Sz., 1996, Coexistence of divergent and flutter features of non-conservative system on example of railway wheelset, in: Dynamical Problems in Mechanical Systems IV, R. Bogacz, G.P. Ostermeyer, K. Popp (Eds.), Proc. Of the 4th Polish-German Workshop, Warsaw 1996, 23-30.
  • 5. Bogacz, R., Irretier, H., Mahrenholtz, O., 1979, Optimal design of structures under non-conservative forces with stability constraints, Bracketing of eigenfrequencies of continuous structures. Proc. Euromech 112, Budapest, Hungary, 43-65.
  • 6. Bogacz, R., Mahrenholtz, O., 1986, On stability of columns under circulatory load. Archives of Mechanics, 38, No 3, 281-287.
  • 7. Bogacz, R., Niespodziana, A., 1987, On stability of continuous Beck column with localized loss of rigidity, Inst. of Fundamental Techn. Research Reports, 27, 1-23.
  • 8. Chen, L.-W., Sheu, H.-C., 1997, Stability Behaviours of Shaft-Disk Systems Under Axial Loads, Int. Journal Mech. Systems.
  • 9. Claudon, J.L., 1975, Characteristic curves and optimum design of two structures subjected to circulatory loads, J. de Mécanique, 14, No 3, 531-543.
  • 10. Danielski, J., Mahrenholtz, O., 1991, Vergleich theoretischer und experimentaller Ergebnisse eines gestützten Beck-Reut-Stabes, ZAMM, 71: T186-T189.
  • 11. Frischmuth, K., Kosiński, W., Lekszycki, T., 1993, Free vibrations of finite memory material beams, Int. J. Engng Sci., 31, 3, 385-395.
  • 12. Guran, A., Plaut, R.H., 1994, Stability Boundaries for Fluid-Conveying Pipes with Flexible Support under Axial Load, Archive of Applied Mechanics, 64, 417-422.
  • 13. Gutkowski, W., Mahrenholtz, O., Pyrz, M., 1993, Minimum weight design of structures under non-conservative forces, In: Optimization or Large Structural Systems (G.T.N. Rozvany (Ed.), Series E: Applied Sciences, 231 or NATO ASI Series), 2, 1087-1100, Kluwer Acad. Publ.
  • 14. Hanaoka, M., Washizu, K., 1980, Optimum design of Beck’s column, Computers and Structures, 11, No 6, 473-480.
  • 15. Imiełowski, Sz., 1989, Influence of localized internal damping on stability of columns subjected to circulatory load, Engineering Transactions, 37, No 44, 715-727.
  • 16. Imiełowski, Sz., 2002, Modal forms of columns subject to generalized follower force, Theoretical Foundation of Civil Engineering, X Ukrainian-Polish Translation, W. Szczęśniak Ed., Warsaw, June 2002, 10, 141-150.
  • 17. Imiełowski, Sz., Bogacz, R., 2001, Fixed point in frequency domain of structures subject to generalized follower force, Machine Dynamic Problems, 25, No 3/4, 169-182.
  • 18. Imiełowski, Sz., Mahrenholtz, O., 1997, Optimization and sensitivity of stepped columns under circulatory load, Applied Mathematics and Computer Sciences, 7, 1, 155-170.
  • 19. Kerr, A.D., 1988, Stability of a Water Tower, Ingenieur-Archiv, 58, 428-436.
  • 20. Mahrenholtz, O., Bogacz, R., 1981, On the shape of characteristic curves for optimal structures under non-conservative loads, Ingenieur-Archiv, 50, 141-148.
  • 21. Sugijama, Y., Katayama, K., Kiriyama, K., 2000, Experimental Verification of Dynamic Stability of Vertical Cantilever Columns Subjected to a Sub-Tangential Force, Journal of Sound and Vibration, 236 (2), 193-207.
  • 22. Tada, Y., Seguchi, Y., Kerna, K., 1985, Shape determination of non-conservative structural systems by the inverse variational principle, Memoirs of the Faculty of Engineering, Kobe University, 32, 45-61.
  • 23. Tada, Y., Matsumoto, R., Oku, A., 1989, Shape determination of non-conservative structural systems, Proc. 1st Int. Conf. Computer Aided Optimum Design of Structures: Recent Advances, Southampton, 13-21, Berlin, Springer.
  • 24. Tomski, L., Przybylski, J., Gołębiewska-Rozanow, M., Szmidla J., 1996, Vibration and Stability of an Elastic Column Subject to a Generalized Load, Archive of Applied Mechanics, 67, 105-116.
  • 25. Tomski, L., Przybylski, J., Gołębiewska-Rozanow, M., Szmidla, J., 1999, Vibration and stability of colunms subjected to a certain type of generalized load, J. of Theoretical and Applied Mechanics, 2, 37, 283-299.
  • 26. Życzkowski, M., Gajewski, A., 1971, Optimal structural design, Proc. IUTAM Symp. Non- Conservative Problems of Elastic Stability, Herrenhalb/Karlsruhe 1969, Springer Verlag, 295-301.
  • 27. Życzkowski, M., 1991, Stability of bars and bar structures, in: Strength of structural elements, M. Życzkowski Ed., 242-381, Elsevier, 12.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWA1-0013-0027
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