Numerical studies on stability of slender supporting structures

• Autorzy: Sokół K. , Uzny S.

Identyfikatory

DOI

10.17512/jamcm.2016.2.17

• Języki publikacji: EN

Abstrakty

EN

In this paper the results of studies on stability of the geometrically non-linear column (slender system) composed of two rods have been presented. The supporting structure has a defect in the form of cracks which are present in each of rods. The cracks are simulated by means of rotational springs. On the basis of the total potential energy principle, the boundary problem is being formulated. The results show an influence of the crack size on the stability of the column in particular on bifurcation load magnitude.

Słowa kluczowe

EN

stability; cracks; bifurcation load; slender systems; column

PL

stabilność; pękanięcia; obciążenia bifurkacji; systemy smukłe; kolumna nieliniowa

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2016
• Tom: Vol. 15, nr 2
• Strony: 157--165
• Opis fizyczny: Bibliogr. 12 poz., rys., tab.

Twórcy

autor

Sokół K.

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

autor

Uzny S.

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

Bibliografia

• [1] Anifantis N., Dimarogonas A.D., Stability of columns with a single crack subjected to follower and axial loads, International Journal of Solids and Structures 1999, 19, 281-291.
• [2] Chondros T.G., Dimarogonas A.D., Dynamic sensitivity of structures to cracks, Journal of Vibration, Acoustics, Stress and Reliability in Design 1981, 111, 251-256.
• [3] Lee J., Bergman L.A., The vibration of stepped beams and rectangular plates by an elemental dynamic flexibility method, Journal of Sound and Vibration 1994, 171, 617-640.
• [4] Chondros T.G., The continuous crack flexibility model for crack identification, Fatigue & Fracture of Engineering Materials & Structures 2001, 24, 643-650.
• [5] Binici B., Vibration of beams with multiple open cracks subjected to axial force, Journal of Sound and Vibration 2005, 287, 277-295.
• [6] Sokół K., Linear and nonlinear vibrations of a column with an internal crack, Journal of Engineering Mechanics 2014, 140(5), http://dx.doi.org/10.1061/(ASCE)EM.1943-7889.0000719
• [7] Sokół K., Uzny S., Instability and vibration of multi-member columns subjected to Euler’s load, Archive of Applied Mechanics 2015, DOI: 10.1007/s00419-015-1068-6.
• [8] Sokół K., Kulawik A., Optimization of slender systems by means of genetic algorithms, Journal of Applied Mathematics and Computational Mechanics 2014, 13(1), 115-125.
• [9] Chondros T.G., Dimarogonas A.D., Yao J., A continuous cracked beam vibration theory, Journal of Sound and Vibration 1998, 215, 17-34.
• [10] Arif Gurel M., Buckling of slender prismatic circular columns weakened by multiple edge cracks, Acta Mechanica 2007, 188, 1-19.
• [11] Tomski L., Uzny S., Vibration and stability of geometrically non-linear column subjected to generalised load by a force directed towards the positive pole, International Journal of Structural Stability and Dynamics 2008, 8(1), 1-24.
• [12] Tomski L., Uzny S., Free vibration and the stability of a geometrically non-linear column loaded by a follower force directed towards the positive pole, International Journal of Solids and Structures 2008, 45(1), 87-112.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.