Influence of an oscillating circuit on the radiation of transient acoustic waves by an electroelastic cylinder

Abstract

The problem of nonstationary wave radiation in an infinitely long thick-wall piezoelectric cylinder in fluid medium is considered. The influence of an oscillating circuit with lumped parameters on characteristics of transient process is taken into consideration. Problem formulation is executed within the forced electrostatic theory, acoustic approximations, and quasistatic theory for electric circuit. The solution method is based on the integral Laplace transform in time. This allows analytically reducing the problem to solving a system of Volterra integral equations with retarded arguments. The numerical results of calculations are presented and analyzed.

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

“…It can provide a theoretical basis for full active acoustic radiation and scattering control of submerged thick smart cylindrical structures, where the classical shell theories generally become inaccurate, particularly in the high frequency range. The presented accurate solution can accompany the general research on hollow cylindrical piezoelectric elements of various polarizations used in a broad range of practical applications in underwater acoustics and industrial macro-sonics for generation and detection of acoustic power (Vovk and Oliynik, 1996;Wilson, 1988;Balabaev and Ivina, 1999;Babaev and Babaev, 2005;Babaev et al, 2010). It can also serve as the benchmark for comparison with solutions obtained by strictly numerical or asymptotic approaches.…”

“…Hasheminejad and Rajabi (2008) used the classic spatial state-space approach in conjunction with the novel features of resonance scattering theory (RST) to formulate a three dimensional exact solution for acoustic wave scattering and active sound cancellation from an arbitrarily thick piezoelectric-coupled orthotropic hollow cylinder suspended in and filled with compressible ideal fluids. Babaev et al (2010) investigated nonstationary sound radiation from an infinitely long thick-walled radially polarized piezoelectric cylindrical transducer submerged in an unbounded surrounding fluid medium and connected to an electric pulse generator. Caresta (2011) theoretically investigated the use of inertial actuators to reduce sound radiation by a submarine hull (modeled as a fluid-loaded ringstiffened cylindrical shell with two equally spaced bulkheads) in bending vibrations due to harmonic radial excitations from the propeller.…”

Active sound radiation control of a submerged piezocomposite hollow sphere

“…missing some natural frequencies/mode shapes, controllability/observability problems) could arise, especially if these devices are mounted at modal nodes of the distributed parameter structure. Extensive studies have recently been focused on the modeling, analysis, and control of acoustic radiation from (transmission through) vibrating fluid-loaded canonical structures such as plates (Hasheminejad and Keshavarzpour, 2013; Li, 2011) and cylindrical panels/shells (Babaev et al, 2010; Cao et al, 2012; Hasheminejad and Alaei-Varnosfaderani, 2012; Hasheminejad and Rajabi, 2008; Kwak et al, 2012). Comparatively very few investigators have considered the spherical shell geometry.…”