VIBRATION OF A BEAM WITH A BREATHING CRACK

By T. Chondros, A. Dimarogonas, J. Yao. 2001

375 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Cracked beam identification by numerically analysing the nonlinear behaviour of the harmonically forced response (2011, background): “In the local flexibility models [30,31,25,15,10,32], the main idea in modelling the crack is to introduce a local compliance matrix, connecting longitudinal, bending and shear forces and displacements near the crack tip; the elements of the local flexibility matrix describe the reduced stiffness due”
Crack detection using nonlinear output frequency response functions - an experimental study (2006, methodology): “can behave like a bilinear nonlinear system, as described by [22] M 1⁄2 € U þ K 1⁄2 U f g 1⁄4 F f g if crack is closed; M 1⁄2 € U þ K DK 1⁄2 U f g 1⁄4 F f g if crack is open: ( (27)”
Physically-based Dirac’s delta functions in the static analysis of multi-cracked Euler–Bernoulli and Timoshenko beams (2011, background): “…2007; Caddemi and Di Paola, 2008); it can be also applied to dynamic problems when the amplitude of vibration is smaller than the static deflection (Chondros et al., 2001), while “breathing in time” models (Kirmsher, 1944) are mandatory when cracks open and close, in so causing more complicated…”
Non-linear dynamics of a cracked cantilever beam under harmonic excitation (2007, background): “[4] Chondros, T.”