Active Transient Sound Radiation Control from a Smart Piezocomposite Hollow Cylinder

Abstract

The linear 3D piezoelasticity theory along with active damping control (ADC) strategy are applied for non-stationary vibroacoustic response suppression of a doubly fluid-loaded functionally graded piezolaminated (FGPM) composite hollow cylinder of infinite length under general time-varying excitations. The control gain parameters are identified and tuned using Genetic Algorithm (GA) with a multi-objective performance index that constrains the key elasto-acoustic system parameters and control voltage. The uncontrolled and controlled time response histories due to a pair of equal and opposite impulsive external point loads are calculated by means of Durbin's numerical inverse Laplace transform algorithm. Numerical simulations demonstrate the superior (good) performance of the GA-optimized distributed active damping control system in effective attenuation of sound pressure transients radiated into the internal (external) acoustic space for two basic control configurations. Also, some interesting features of the transient fluid-structure interaction control problem are illustrated via proper 2D time domain images and animations of the 3D sound field. Limiting cases are considered and accuracy of the formulation is established with the aid of a commercial finite element package as well as comparisons with the current literature.

Active Transient Acousto-Structural Response Control of a Smart Cavity-Coupled Circular Plate System

“…The external surrounding fluid is assumed to be air (ρ ex = 1. tion Toolbox in a multi-objective framework, where the principal objective functions, which account for evaluation of the solution at each step, are selected as the internal radiated (cavity center-point) sound pressure, p in (r = θ = 0, z = −L/2, t) transverse panel center-point displacement, w(r = θ = 0, t) and the actuator input voltage, Φ a (r = 0.25 m, θ = π/6, z = 0.006 m, t), with maximum weight given to the panel displacement. For a detailed description of the GA-based controller gain optimization and weighting function selection procedure, the reader is referred to (Hasheminejad, Rabbani, 2015). With the hypothesis of light external fluid (air) loading, the radiated transient acoustic pressure field may be computed by making use of the following form of Rayleigh integral in Laplace domain (Junger, Feit, 1986;Shakeri, Younesian, 2015):…”

“…1). This can be readily achieved through a second order compensator forced by the sensor electric potential (Φ s ) measured at an arbitrary point (r = r 0 , θ = θ 0 , z = −h − h 1 ) on the lower surface of the piezo-composite panel (Hasheminejad, Rabbani, 2015)…”

“…1). Thus, in this work, we shall take advantage of the linear acoustic wave equation, classical Rayleigh integral formula (Junger, Feit, 1986), Kirchhoff piezo-coupled plate model (Wang et al, 2001), and Durbin's numerical Laplace transform inversion scheme (Durbin, 1973) in conjunction with the active damping control (ADC) strategy (Hasheminejad, Rabbani, 2015), to fill this important gap in the literature. The proposed model, which takes full account of interaction between vibrating panel and internal cavity fluid, is of both academic and industrial interest as a canonical problem in structural acoustics.…”

Internal Model Control for a Light-Weight Active Noise-Reducing Casing

“…The sound radiation by various structures and its reduction have been widely studied in the literature and is still of scientific interest (Hasheminejad, Rabbani, 2015;Szemela, 2015;Zawieska et al, 2007). In many cases the sound propagates from the device to the casing structurally.…”

Broadband sound transmission loss enhancement of an arbitrary-thick hybrid smart composite plate using multi-objective particle swarm optimization–based active control

“…in which R s , nm ( i ) is the i th element of the vector R s , nm ( 1 × 4 ) (see equation (18)). Also, the basic active damping (AD) compensator equations are stated as (Hasheminejad and Rabbani, 2015)…”