Analysis of out-of-plane free vibration of single damaged curved beam based on precise algorithm of structural mechanics

• Autorzy: Li Xiaofei , Pan Zhouyang , Guo Hainan
• Języki publikacji: EN

Abstrakty

EN

Based on a dynamic discrete model of an out-of-plane curved beam with a constant cur- vature, eigen-properties of the spatial curved beam structure in undamaged and damaged configurations are considered in this paper. In the literature, based on the equivalent sec- tion reduction method, a distributed damage modeling method is proposed. Accoding to Euler-Bernoulli beam theory, the stiffness matrix of shear, bending and torsion coupling is derived. Combined with the lumped mass matrix and the characteristic equation of the multi degree of freedom system, natural frequencies of the undamaged and damaged structures are calculated.

Słowa kluczowe

EN

out-of-plane curved beam; damaged; stiffness matrix; free vibration

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2023
• Tom: Vol. 61 nr 2
• Strony: 407--414
• Opis fizyczny: Bibliogr. 15 poz., rys., tab.

Twórcy

autor

Li Xiaofei

• College of Transportation Engineering, Dalian Maritime University, Dalian, China

• https://orcid.org/0000-0002-8836-2158

autor

Pan Zhouyang

• College of Transportation Engineering, Dalian Maritime University, Dalian, China

autor

Guo Hainan

• College of Transportation Engineering, Dalian Maritime University, Dalian, China

Bibliografia

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• 7. Howson W.P., Jemah A.K., 1999, Exact out-of-plane natural frequencies of curved Timoshenko beams, Journal of Engineering Mechanics, 125, 1, 19-25.
• 8. Hu J.S., Feng X., Zhou J., 2007, State-of-art of vibration analysis and crack identification of cracked beams, Journal of Vibration and Shock, 11, 146-152+189.
• 9. Ishaquddin M., Raveendranath P., Reddy J.N., 2016, Efficient coupled polynomial interpolation scheme for out-of-plane free vibration analysis of curved beams, Finite Elements in Analysis and Design, 110, 58-66.
• 10. Mao H., Yu G., Liu W., Xu T., 2020, Out-of-plane free vibration and forced harmonic response of a curved beam, Shock and Vibration.
• 11. Pau A., Greco A., Vestroni F., 2011, Numerical and experimental detection of concentrated damage in a parabolic arch by measured frequency variations, Journal of Vibration and Control, 17, 4, 605-614.
• 12. Petroski H.J., 1981, Simple static and dynamic-models for the cracked elastic beam, International Journal of Fracture, 17, 4, R71-R76.
• 13. Wang Y.L., Ju Y., Zhuang Z., Li C.F., 2018, Adaptive finite element analysis for damage detection of non-uniform Euler-Bernoulli beams with multiple cracks based on natural frequencies, Engineering Computations, 35, 3, 1203-1229.
• 14. Zare M., 2019, Free out-of-plane vibration of cracked curved beams on elastic foundation by estimating the stress intensity factor, Mechanics of Advanced Materials and Structures, 27, 14, 1238-1245.
• 15. Zhao Y., Kang H., Feng R., et al., 2006, Research progress of curved beam, Progress in Mechanics, 2, 170-186.

Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).