期刊
MATHEMATICS AND MECHANICS OF SOLIDS
卷 27, 期 4, 页码 578-601出版社
SAGE PUBLICATIONS LTD
DOI: 10.1177/10812865211027622
关键词
Electromechanical analogy; lumped-element model; piezoelectric coupling; vibration mitigation; multimodal damping
This paper applies the method of electric analog synthesis to design a piezo-electro-mechanical arch capable of demonstrating multimodal damping capacity. Spatial and frequency coherence conditions are verified for the damped modes, and analogous boundary conditions ensure consistency between the curved beam and the analog circuit. It is believed that these results could lead to the design of multi-physics metamaterials based on micro-structures exploiting multimodal damping principles.
In this paper, the method of electric analog synthesis is applied to design a piezo-electro-mechanical arch able to show the capacity of multimodal damping. An electric-analog circuit is designed by using a finite number of lumped elements representing the equivalent of a curved beam. Spatial and frequency coherence conditions are proven to be verified for the modes to be damped: in fact, lumped-element circuit can damp only a finite number of vibration modes. Analogous boundary conditions are ensured, so that natural frequencies and mode shapes of both the curved beam and the analog circuit are equal. The instance considered here is the vibration mitigation of a piezo-electro-mechanical arch. Having a view towards prototypical applications, all simulations consider values of physically feasible passive circuital elements. It is believed that the present results may represent a step towards the design of multi-physics metamaterials based on micro-structures exploiting the principle of multimodal damping.
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