An Influence of Cracks Location on Instability of a Multi-Member Cantilever Slender Supporting System

• Autorzy: Sokół K. , Uzny S.
• Języki publikacji: EN

Abstrakty

EN

In this publication the nonlinear slender cantilever column composed of two rods in which the cracks are present is investigated. The cracks are simulated by means of rotational springs with linear characteristic. Additionally the external compressive load is located at the free end to the structure. In order to predict the static behaviour of the column the boundary problem is being formulated by means of the principle of total potential energy. The results of numerical simulations are concern on influence of the locations of cracks on loading capacity. On the basis of the analysis of the results the most dangerous (lowest loading capacity) regions are found.

Słowa kluczowe

EN

instability; cracks; bifurcation; static instability criterion; slender systems; column

• Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
• Czasopismo: Machine Dynamics Research
• Rocznik: 2015
• Tom: Vol. 39, No. 3
• Strony: 59--68
• Opis fizyczny: Bibliogr. 10 poz., wykr.

Twórcy

autor

Sokół K.

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

autor

Uzny S.

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

Bibliografia

• 1. Anifantis, N and Dimarogonas, A (1999). Stability of columns with a single crack subjected to follower and vertical loads. International Journal of Solids and Structures, 19(4):281–291.
• 2. Batabyal, AK and Sankar, P and Paul, TK (2009). Crack detection in cantilever beam using vibration response. Springer Proceedings in Physics, pages 27–33.
• 3. Binici, Baris (2005). Vibration of beams with multiple open cracks subjected to axial force. Journal of Sound and Vibration, 287(1):277–295.
• 4. Chondros, TG (2001). The continuous crack flexibility model for crack identification. Fatigue & Fracture of Engineering Materials & Structures, 24(10):643–650.
• 5. Chondros, TG and Dimarogonas, AD (1981). Dynamic sensitivity of structures to cracks. Journal of vibration, acoustics, stress, and reliability in design, 111(3):251–256.
• 6. Lee, J and Bergman, LA (1994). The vibration of stepped beams and rectangular plates by an elemental dynamic flexibility method. Journal of Sound and Vibration, 171(5):617–640.
• 7. Nandwana, BP and Maiti, SK (1997). Detection of the location and size of a crack in stepped cantilever beams based on measurements of natural frequencies. Journal of Sound and Vibration, 203(3):435–446.
• 8. Sokół, Krzysztof (2014). Linear and nonlinear vibrations of a column with an internal crack. Journal of Engineering Mechanics, 140(5).
• 9. Sokół, Krzysztof and Kulawik, Adam (2014). Optimization of slender systems by means of genetic algorithms. Journal of Applied Mathematics and Computational Mechanics, 13(1).
• 10. Uzny, Sebastian and Sokół, Krzysztof (2014). The regions of local and global instability of a two-member slender system with crack. Machine Dynamics Research, 38(2):75–83.

Uwagi

PL

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