Passive piezoelectric subordinate oscillator arrays. (25th July 2019)

• Record Type: Journal Article
• Authors: Paruchuri, Sai Tej; Sterling, John; Malladi, Vijaya V N Sriram; Kurdila, Andrew; Vignola, Joseph; Tarazaga, Pablo
• Is Part Of: Smart materials and structures. Volume 28:Number 8(2019:Aug.)
• Publication Date: 2019-07-25
• Subjects: piezoelectric subordinate oscillator arrays -- shunt tuning -- performance recovery -- broadband flat vibration attenuation; Smart materials -- Periodicals; Strucural design -- Periodicals; 620.11
• DOI: 10.1088/1361-665X/ab2f5a
• Languages: English
• ISSNs: 0964-1726

Abstract

Abstract: Subordinate oscillator arrays (SOAs) attached to a host structure have been shown to achieve flat attenuation of the frequency response over a band around a target natural frequency of the host. Due to their sensitivity to disorders that can arise from sources such as fabrication errors, as well as uncertainties in their structural properties or that of the host, SOAs can be challenging to implement in some applications. To overcome this shortcoming, piezoelectric subordinate oscillator arrays (PSOAs) are studied in this paper. This paper models PSOAs using variational principles to facilitate the analysis and development of design strategies. A closed-form expression for the frequency response function of the host structure is then used to design the PSOAs with and without uncertainties. This paper shows that the flat attenuation over a frequency band around a harmonic of the host can be achieved by assigning a distribution to the mechanical, electrical, or electromechanical properties of the PSOAs. For instance, it is shown that choosing a distribution of capacitive shunt circuits can achieve essentially the same qualitatively flat attenuation as that of classical SOAs. In this sense, the approach in this paper generalizes the results attained for conventional SOAs. Finally, the paper investigates the robustness of PSOAs, that is, their relative insensitivity to types of uncertainties. It is shown that PSOAs afford the chance to ameliorate some types of sensitivities that prove problematic for SOAs that are purely mechanical in nature. The notion of performance recovery is introduced; this measure quantifies how much attenuation loss due to uncertainty in an initial SOA or PSOA design can be recovered by modification of the electrical properties alone.