Acoustic radiation and active control from a smart functionally graded submerged hollow cylinder

Abstract

The 3D piezoelasticity theory and the spatial state-space approach are used to study the steady-state non-axisymmetric sound radiation and scattering characteristics of an infinitely long, arbitrarily thick, orthotropic functionally graded hollow circular cylinder, coupled with an inner (actuator) layer of functionally graded piezoceramic material. The method of stationary phase is employed for evaluation of the radiated far-field pressure integral. Numerical simulations include water-submerged air-filled steel-PZT4 composite cylinders driven by harmonic electromechanical loads or insonified by an obliquely incident plane sound wave. Also, when the actuator layer is operating in the active vibration mode, the effects of the number of control modes on the input voltage required for partial or complete cancellation of the far-field and internal radiated pressures as well as on the backscattering form function and noise reduction amplitudes are examined. Limiting cases are considered and validity of formulation is established by comparison with available data as well as with the aid of a commercial finite element package.

Active damping of sound transmission through an electrorheological fluid-actuated sandwich cylindrical shell

“…At this point, it is appropriate to describe a sliding surface, r; that designates the desired performance of the closed loop system as [36,37] r ¼ SX (12) where S 1  7 f g is the classical sliding surface matrix, and in the current elastoacoustic formulation, based on the steady-state assumption x t ð Þ ¼ Xe jxt , one has X ¼ P refl n ; P tr n ; U in n ; V in n ; U ex n ; V ex n ; W n  . Furthermore, the condition that makes the state, x t ð Þ; track the preferred state, x d t ð Þ; via a proper control input, u; is set as [36,37] 1 2…”

“…Recent developments in the field of smart material technology along with the significant progress in high speed digital computing devices have provided competent means for dealing with the structural-borne noise control problems in distributed parameter systems [12][13][14][15]. In particular, smart structures including various intelligent materials (e.g.…”

Modeling and analysis of multilayer piezoelectric-elastic spherical transducers

“…Owing to its approximate one-dimensional structural characteristics, sound radiation is mainly generated in the longitudinal direction when it is excited by an alternating voltage. In order to improve sound radiation area, cylindrical piezoelectric transducer was proposed (Adelman et al, 1975; Aronov et al, 2011; Bachand et al, 2014; Ebenezer and Abraham, 1999; Hasheminejad and Alaei-Varnosfaderani, 2014; Jia et al, 2017; Kim and Lee, 2007; Lin, 2007; Lin et al, 2013; Lin and Wang, 2011; Pan et al, 2014; Wang et al, 2015a, 2017; Wang and Luo, 2016; Wang and Shi, 2013, 2016). It is formed by a single-phase piezoelectric disk, ring, shell, tube, or composite ones, and the piezoelectric elements can be polarized in radial, axial, or tangential directions.…”

Active Transient Sound Radiation Control from a Smart Piezocomposite Hollow Cylinder

“…Accordingly, in this work, we shall extend the basic steady-state elasto-acoustic formulation presented in (Hasheminejad, Alaei-Varnosfaderani, 2013) to the time domain, and employ the active damping control (ADC) methodology with multi-objective GAbased tuning in two distinct control configurations, to fill this important gap in the literature. Such analysis is not limited by the various assumptions made in classical and refined shell theories, and is capable of offering consistent solutions as well as revealing the physical characteristics of the problem (Ding, Chen, 2001).…”