Abstract
The objective of the paper is to study the vibrations of 1D-3D nondegenerate multistructures, which are partly damaged. Such an analysis is useful to quickly asses the condition of a structure which has been in use over a long period of time. We look at three different positions of damage: top, middle or bottom of one leg. We calculate six eigenfrequencies associated with rigid body motion of the 3D structure and derive simple analytical asymptotic formulae for these eigenfrequencies. Hence, we analyse the effect of weakening of a leg. Accuracy of the asymptotic formulae is also checked with 3D finite element computations.
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References
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Aslanyan, A.G., Dronka, J., Mishuris, G.S., Selsil, Ö. (2006). VIBRATIONS OF DAMAGED 1D-3D MULTI-STRUCTURES. In: İnan, E., Kırış, A. (eds) Vibration Problems ICOVP 2005. Springer Proceedings in Physics, vol 111. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-5401-3_9
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DOI: https://doi.org/10.1007/978-1-4020-5401-3_9
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-5400-6
Online ISBN: 978-1-4020-5401-3
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