Vibration sensitive behaviour of a connecting angle. Case of coupled beams and plates

In this paper semi-infinite one- and two-dimensional (1-D and 2-D) coupled structures are considered in order to find conditions under which coupling effects can induce hypersensitive vibrating behaviour. The approach is based on classical wave decomposition, and the first point is to show that high sensitivity can exist in such simple systems. Then, for the case of beams, it is shown that two critical coupling angles can be defined, and that their values depend only on wave number ratio. A similar study is then performed on semi-infinite coupled plates, and the existence of a critical coupling angle is shown. Its value can be determined using three structural parameters. The results are finally compared to finite coupled structures.