New modeling method and mechanism analyses for active control of interior noise in an irregular enclosure using piezoelectric actuators

Abstract

A new modeling method is developed in this paper for the active minimization of noise within a three-dimensional irregular enclosure using distributed lead zirconate titanate piezoelectric (PZT) actuators, and the control mechanisms for irregular enclosure are analyzed. The irregular enclosure is modeled with four rigid walls and two simply supported flexible panels, and PZT actuators are bound to one of the flexible panels. The process of the new modeling method is as follows. First, the modal coupling method is used to establish the motion equations, which contain important coefficients such as modal masses and modal coupling coefficients, etc., of acoustic-structural-piezoelectric coupling system. Then, the acoustic modes and the modal masses of irregular enclosure are calculated by numerical methods. Last, the modal coupling coefficients in motion equations are calculated according to the numerical results of the acoustic modes of irregular enclosure and the modes of two panels. The validity of this modeling method is verified by a regular hexahedron enclosure. Two cost functions are applied to this model. With the two cost functions, good results are obtained in minimizing the sound-pressure level (SPL) within irregular enclosure according to numerical investigations. By comparing the results obtained under controlled and uncontrolled states, the control mechanisms of the system are discussed. It is found that the control mechanisms vary with disturbance frequencies. At most disturbance frequencies, the SPL within enclosure is reduced by restructuring the modes of two panels simultaneously. When the disturbance frequency comes close to one of the natural frequencies of panel a, the dominant mode of panel a is suppressed, while the modes of panel b are reconstructed. While the disturbance frequency is near one of the natural frequencies of panel b, the modes of two panels are restructured at the same time.

Modeling of sound-structure interaction in a rectangular enclosure using finite element method

“…In this work, piezoelectric patches bonded to the panel are used as actuators, which are also included in the modeling. This work is extended in [10] to the case of an irregular enclosure with two flexible panels. Finite-element models have been constructed to study similar problems [11,12].…”

Modelling and analysis of acoustic field in a rectangular enclosure bounded by elastic plates under the excitation of different point force

“…Also, some researchers study coupled acoustic field in an enclosure consisting of two flexible plates and four rigid walls. [19][20][21] Jin et al 19 present an investigation into the active control of acoustic transmission into a structural-acoustic coupled system. An enclosure with four acoustically rigid walls and two flexible plates is considered.…”

“…An enclosure with four acoustically rigid walls and two flexible plates is considered. Geng et al 20 develop a new modeling method for the active minimization of noise within a three-dimensional irregular enclosure. The irregular enclosure is modeled with four rigid walls and two simply supported flexible panels.…”

An investigation of active structural acoustic control in resonant enclosures

“…This implies that perhaps a RMC controller targeting mode 1, mode 5, and mode 6 with the effort of mode 5 and mode 6 much larger than their relative coupling importance would suggest may do better. After some tinkering with the gains in experiment this was indeed Figure 7.32 The open and closed loop speakers to microphones experimental response of the Decentralized system with clustered RMC (31,161,170) found to be the case. This is the best performing controller from a peak response reduction perspective as well.…”

“…31 The open and closed loop speakers to microphones experimental response of the MIMO system with LQG control . .…”