An efficient two-node finite element formulation of multi-damaged beams including shear deformation and rotatory inertia. (15th January 2015)

• Record Type: Journal Article
• Authors: Donà, Marco; Palmeri, Alessandro; Lombardo, Mariateresa; Cicirello, Alice
• Is Part Of: Computers & structures. Volume 147(2015)
• Page Start: 96
• Page End: 106
• Publication Date: 2015-01-15
• Subjects: Cracked beams -- Euler–Bernoulli beam theory -- Damaged structures -- Finite element analysis -- Timoshenko beam theory -- Rotatory inertia; Structural engineering -- Data processing -- Periodicals; Electronic data processing -- Structures, Theory of -- Periodicals; 624.171
• DOI: 10.1016/j.compstruc.2014.10.002
• Languages: English
• ISSNs: 0045-7949

Abstract

Abstract: A computationally efficient beam finite element is presented for the static and dynamic analysis of frame structures with any number and location of concentrated damages, whose macroscopic effects are simulated with a set of longitudinal, rotational and transversal elastic springs at the position of each singularity. The proposed mathematical model exploits positive Dirac's deltas in the corresponding flexibility functions of the beam elements, and allows also considering shear deformations and rotatory inertia. Such contributions may have a huge impact on the higher modes of vibration, as confirmed by the numerical examples.