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DYNAMIC RESPONSE OF A BEAM WITH A CRACK SUBJECT TO A MOVING MASS

✍ Scribed by M.A. MAHMOUD; M.A. ABOU ZAID


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
299 KB
Volume
256
Category
Article
ISSN
0022-460X

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✦ Synopsis


An iterative modal analysis approach is developed to determine the e!ect of transverse cracks on the dynamic behavior of simply supported undamped Bernoulli}Euler beams subject to a moving mass. The presence of crack results in higher de#ections and alters the beam response patterns. In particular, the largest de#ection in the beam for a given speed takes longer to build up, and a discontinuity appears in the slope of the beam de#ected shape at the crack location. Crack e!ects become more noticeable as crack depth increases. The e!ect of the inertia force due to the moving mass is, in general, qualitatively similar and additive to the e!ect of the crack. The exact e!ect of crack and mass depends on the speed, time, crack size, crack location, and the moving mass level. Other approximate methods, namely a stationary mass model and a single iteration technique, are also evaluated. The stationary mass approach is useful for light moving masses ((20% of beam mass) and cracks at mid-span. For other cases, the errors can be unacceptably large. The results of the single-iteration approximation are quite close to the iterative modal analysis approach, which indicates that this approximate solution is an excellent tool for the analysis of the moving mass problem.


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