82 research outputs found

    Transfer of energy from flexural to torsional modes for the Fish-bone Suspension bridge

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    We consider a conservative coupled oscillators systems which arises as a simplified model of the interaction of flexural and torsional modes of vibration along the deck of the so-called fish-bone model of suspension bridges. The elastic response of the cables is supposed to be asymptotically linear under traction, and asymptotically constant when compressed (a generalization of the slackening regime). We show that for vibrations of sufficiently large amplitude, transfer of energy from flexural modes to torsional modes may occur provided a certain condition on the parameters is satisfied. The main result is a non-trivial extension of a theorem in an our previous article to the case when the frequencies of the normal modes are no more supposed to be the same. Several numerical computations of instability diagrams for various slackening models respecting our assumptions are presented

    Analysis of the symmetric Y-junction in slotline

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    Millimetric circuitry in slotline uses Y-junctions, e.g. in diode mounts for mixers and power splitters. This work presents an effective approximate treatment of the problem, that exploits in full its symmetry (eigenvalues analysis) and utilizes partial wave analysis for an effective solution of the resulting boundary value problem, including radiation loss and junction parasitics

    Hybrid modes, losses and substrate leakage of slotline at millimetre wave frequencies

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    Slotline has proved its usefulness as a transmission media in the lower microwave range. Its use at higher frequencies requires, however, proper characterization not only of the fundamental guided mode, which is now hybrid, but also of its complete spectrum, as required to describe leakage in the dielectric substrate as well as radiation. The onset of the former sets a high frequency/substrate thickness limit to lossless operation, whereas radiation modes are excited by discontinuities such as diode mounts and steps, the waveguide being open. In this manuscript we approach the problem rigorously in the space domain. Numerical results for the guided mode are compared where possible with those available in the literature. Dielectric and conduction losses in the guide are also considered. Finally, we derive the continuous spectrum of slotline, which is a novel theoretical development for an open structure of this kind
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