In this article, we discuss the modelling of elastic and electromagnetic wave propagation through one-dimensional and two-dimensional structured piezoelectric solids. Dispersion and the effect of piezoelectricity on the group velocity and positions of stop bands are studied in detail. We will also analyse the reflection and transmission associated with the problem of scattering of an elastic wave by a heterogeneous piezoelectric stack. Special attention is given to the occurrence of transmission resonances in finite stacks and their dependence on a piezoelectric effect. A two-dimensional doubly periodic piezoelectric checkerboard structure is subsequently introduced, for which the dispersion surfaces for Bloch waves have been constructed and analysed, with the emphasis on the dynamic anisotropy and special features of standing waves within the piezoelectric structure. electromagnetic waves in the reflection of acoustic waves at the interface between two semi-infinite piezoelectric materials. At quasinormal incidence, that is, for an angle of incidence  i v a =v l , where v a and v l are the typical speed of sound and light, respectively, they found that according to the electromagnetic description, the acoustic wave must suffer total reflection while the quasi-electrostatic approximation predicts almost total transmission.Photonic and phononic crystals made of piezoelectric materials were discussed in [10][11][12][13][14][15]. In particular, the article [10] presents a model for the transmission problem in stratified media, emphasising applications in acoustics. The effects of electromechanical coupling in models of surface acoustic waves were discussed in [11,12]. Surface and bulk acoustic waves in 2D phononic crystals were studied in [11]. A plane-wave expansion method to study spectral problems in phononic piezoelectric crystals was presented in [13]. Sabina and Movchan [14] discussed the role of the electromechanical coupling on the dispersion properties of IP Bloch waves within 1D and 2D phononic crystals. Piliposian et al. [15] analytically derived and solved the dispersion equation of OP Bloch waves in 1D layered piezoelectric materials. The direction of polarisations, the electromechanical coupling and the aspect ratio of the unit cell have been investigated as potential tuning parameters for the dispersion properties.This paper analyses a class of spectral problems occurring in layered and doubly periodic piezoelectric structures. The scattering by a layered piezoelectric finite stack is analysed first. We show that the dynamic response of such a structure depends on the frequency of the incident wave. In addition, the occurrence of piezoelectrically driven transmission resonances is analysed. We then proceed further with a more challenging setting within a 2D phononic crystal, consisting of a rectangular checkerboard whose unit cell contains piezoelectric materials.The article is organised as follows. In Section 2, we review the equations that govern the propagation of waves in a 6 mm symmetry class b...
The need for interdisciplinary skills in mechanics, electronics, control theory and computer science was recognized as becoming more and more important for mechanical designers. At this aim, it is since the academic year 2002/2003 that a course on Mechatronic Systems is delivered at Bergamo University as an option in the BS curriculum for Mechanical Engineering students. The course is mainly based on Project Oriented Learning activities; actually a practical project is developed each year. This paper mainly deals with the description of the Mechatronics education activity at Bergamo University, with reference to the 2005/2006 academic year course project: a Cartesian plotter driven by stepper motors.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.