On the Shape of Eigen-Forms of Columns Under Non-Conservative Loads

• Autorzy: Bogacz R. , Kurnik W.
• Języki publikacji: EN

Abstrakty

EN

In many structures of civil engineering, rotating machinery, flying objects with rocket propulsion and other systems, problems of stability arise and have to be addressed. The optimal cross-section layout in maximization of critical loads of such systems needs a deep knowledge concerning their modal properties and stability behavior, to enable one to effectively control them. The present paper is devoted to discussion of the relations between the eigenfrequencies and the eigen-modes of selected discrete and continuous models of columns subjected to conservative and non-conservative follower loads.

Słowa kluczowe

EN

columns; follower load; stability; eigenfrequencies; eigen-modes

• Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
• Czasopismo: Machine Dynamics Research
• Rocznik: 2016
• Tom: Vol. 40, No. 1
• Strony: 31--44
• Opis fizyczny: Bibliogr. 9 poz., il., wykr.

Twórcy

autor

Bogacz R.

• Warsaw University of Technology, Institute of Vehicles

autor

Kurnik W.

• Warsaw University of Technology, Institute of Machine Design Fundamentals

Bibliografia

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• 2. Bogacz, R. and Frischmuth, K. (2005). Transient behaviour of columns under follower forces. Machine Dynamics Problems, 29(4):7–20.
• 3. Bogacz, R., Irretier, H., and Mahrenholtz, O. (1979). Optimal design of structures under nonconservative forces with stability constraints. Proceedings of Euromech Colloquium 11, 112:43–65.
• 4. Claudon, J. (1975). Characteristic curves and optimum design of two structures subjected to circulatory loads (flutter in elastic cantilever columns). Journal de Mecanique, 14(3):531–543.
• 5. Elishakoff, I. (2005). Controversy associated with the so-called “follower forces”: critical overview. Applied Mechanics Reviews, 58(2):117–142.
• 6. Gajewski, A. and Zyczkowski, M. (1988). Optimal structural design under stability constraints, volume 13. Kluwer, Dordrecht.
• 7. Iooss, G. and Joseph, D. D. (1980). Elementary stability and bifurcation theory. Springer, Berlin.
• 8. Kurnik, W. and Bogacz, R. (2013). Ziegler problem revisited–flutter and divergence interactions in a generalized system. Machine Dynamics Research, 37(4):71–84.
• 9. Ziegler, H. (1952). Die stabilitätskriterien der elastomechanik. Ingenieria, 20(1):49–56.