A Novel Spring-Based Model for Damage Investigation of Functionally Graded Beams

Journal of Solid Mechanics

مقاله 5، دوره 14، شماره 3، آذر 2022، صفحه 345-360   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.22034/jsm.2021.1928249.1690

نویسندگان

S Karimi¹؛ M Bozorgnsab^{* 1}؛ R Taghipour¹؛ M.M Alipour²

¹Department of Civil Engineering, Faculty of Engineering and Technology, University of Mazandaran, Babolsar, Iran

²Department of Mechanical Engineering, Faculty of Engineering and Technology, University of Mazandaran, Babolsar, Iran

چکیده

In this paper, free vibration analysis of damaged functionally graded beams based on the first-order shear deformation theory (FSDT) is carried out. In this regard, a new model of springs is introduced to model the damaged elements of the beam. The proposed model is achieved from stress resultants. The springs equations for homogeneous and functionally graded (FG) beams are presented; furthermore, equations for equivalent springs are also provided which can be used for both homogeneous and FG beams. The proposed method can be applied for the analysis of structures with fewer computation costs and high accuracy. To show the accuracy of the proposed model, the natural frequencies of the beams with real elements and the ones which are modeled by the proposed springs are compared considering various support conditions. Good agreement has been observed. Thereafter, the model is used to detect the damaged elements. The result shows that the model can properly detect the damage location. 

کلیدواژه‌ها

Functionally graded beam؛ Free vibration analysis؛ Damage detection؛ First-order shear deformation theory؛ Spring

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