Optimal Shape of a Uniformly Convergent Column Subjected to a Load by the Follower Force Directed Towards the Positive Pole with Regard to the Condition of Permissible Stresses

• Autorzy: Tomski L. , Szmidla J. , Yatsenko D.
• Języki publikacji: EN

Abstrakty

EN

The results of theoretical research and numerical computations into the optimization of the shape of a cantilever column subjected to a load by the follower force directed towards the positive pole are presented in this paper. The equation of the bending line and the cross–section of the considered column were derived and an adequate boundary problem was formulated on the basis of the static criterion of stability. The additional condition of permissible stresses of an optimized column was assumed with regard to one of the three classes of the columns. The value of the critical load and optimum shape of the system, which fulfils the condition of compressive strength of the column rod for the chosen case of a load, were determined.

Słowa kluczowe

EN

buckling; column; critical forces; optimization

PL

wyboczenie; kolumna; siły krytyczne; optymalizacja

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2013
• Tom: Vol. 17, nr 2
• Strony: 187--196
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Tomski L.

• Institute of Mechanics and Machine Design Foundations Częstochowa University of Technology, Poland

autor

Szmidla J.

• Institute of Mechanics and Machine Design Foundations Częstochowa University of Technology, Poland

autor

Yatsenko D.

• Institute of Thermal Machinery Częstochowa University of Technology, Poland

Bibliografia

• [1] Bogacz, R., Imie lowski, S. and Tomski, L.: Optimization and Stability of Columns on Example of Conservative and Nonconservative Systems, Machine Dynamics Problems, 20, 35-47, 1998.
• [2] Szmidla, J.: Optymalny kształt kolumny obciążonej siłą śledzącą skierowaną do bieguna dodatniego, Stability of Structures XII-th Symposium, Zakopane, , 387-394, |textbf2009.
• [3] Szmidla, J.: Drgania swobodne i stateczność układów smukłych poddanych obciążeniu swoistemu, Seria Monograę, No. 165, WPC, Częstochowa, 2009.
• [4] Szmidla, J. and Yatsenko, D.: The free vibrations and optimization of the shape of a column subjected to a load by a follower force directed towards the positive pole applying the variational method, Vibrations in Physical Systems, Vol. 25, 393-398, 2012.
• [5] Tomski, L.: Obciążenia układów oraz układy swoiste. Rozdział 1: Drgania swobodne i stateczność obiektów smukłych jako układów liniowych lub nieliniowych, WNT, Warsaw, 17-46, 2007.