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Advances in Aircraft and Spacecraft Science Volume 3, Number 1, January 2016 , pages 095-112 DOI: https://doi.org/10.12989/aas.2016.3.1.095 |
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Free vibration analysis of damaged beams via refined models |
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Marco Petrolo, Erasmo Carrera and Ali Saeghier Ali Saeed Alawami
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| Abstract | ||
| This paper presents the free vibration analysis of damaged beams by means of 1D (beam) advanced finite element models. The present 1D formulation stems from the Carrera Unified Formulation (CUF), and it leads to a Component-Wise (CW) modelling. By means of the CUF, any order 2D and 1D structural models can be developed in a unified and hierarchical manner, and they provide extremely accurate results with very low computational costs. The computational cost reduction in terms of total amount of DOFs ranges from 10 to 100 times less than shell and solid models, respectively. The CW provides a detailed physical description of the real structure since each component can be modelled with its material characteristics, that is, no homogenization techniques are required. Furthermore, although 1D models are exploited, the problem unknown variables can be placed on the physical surfaces of the real 3D model. No artificial surfaces or lines have to be defined to build the structural model. Global and local damages are introduced by decreasing the stiffness properties of the material in the damaged regions. The results show that the proposed 1D models can deal with damaged structures as accurately as a shell or a solid model, but with far lower computational costs. Furthermore, it is shown how the presence of damages can lead to shell-like modal shapes and torsional/bending coupling. | ||
| Key Words | ||
| Carrera unified formulation; beam; finite element; advanced models; damage analysis | ||
| Address | ||
| Marco Petrolo and Erasmo Carrera: Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy Ali Saeghier Ali Saeed Alawami: School of Aerospace, Mechanical and Manufacturing Engineering, RMIT University, Bundoora VIC 3083, Australia | ||
