한국소음진동공학회:학술대회논문집 (Proceedings of the Korean Society for Noise and Vibration Engineering Conference)
- 한국소음진동공학회 2005년도 춘계학술대회논문집
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- Pages.826-831
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- 2005
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- 1598-2548(pISSN)
탄성기초 위에 놓인 크랙 외팔보의 동특성에 미치는 이동질량의 영향
The Effect of Moving Mass on Dynamic Behavior of Cracked Cantilever Beam on Elastic Foundations
- 발행 : 2005.05.01
초록
In this paper the effect of moving mass on dynamic behavior of cracked cantilever beam on elastic foundations is presented. Based on the Euler-Bernoulli beam theory, the equation of motion can be constructed by using the Lagrange's equation. The crack section is represented by a local flexibility matrix connecting two undamaged beam segments. That is, the crack is modelled as a rotational spring. This flexibility matrix defines the relationship between the displacements and forces across the crack section and is derived by applying fundamental fracture mechanics theory. The crack is assumed to be in the first mode of fracture. As the depth of the crack is increased, the tip displacement of the cantilever beam is increased. When the crack depth is constant the frequency of a cracked beam is proportional to the spring stiffness.