Double-panel active noise reducing casing with noise source enclosed inside - Modelling and simulation study

Janusz Wyrwal; Marek Pawelczyk; Ling Liu; Zhushi Rao

摘要

The main purpose of the article is to provide a theoretical study of a double-panel active casing by developing a mathematical model for such a dynamical system. The aim of the active casing is to reduce device noise generated to the acoustic environment by controlling vibration of wall panels of the device casing. The article concerns mathematical modeling and simulation of an active casing comprising six double-panel walls mounted to a rigid frame. The casing is considered as a complex coupled vibro-acoustic system, where the wall panels are excited by the acoustic fields inside the casing and by actuators bonded to the wall panels and used for active control. The acoustic field inside the casing is, in turn, produced by the noise originating from the device itself, and the secondary sound generated by all vibrating walls panels. In the first part of the paper a theoretical analysis is performed to derive mathematical model for the system under consideration. The Kirchhoff-Love equations are used to describe walls panels dynamics and the acoustic wave equations are applied to describe acoustic fields in appropriate media. The mathematical model represented as a system of coupled partial differential equations, subject to appropriate boundary conditions, is derived. The fluid-structure interactions of vibroacoustic and acoustic-vibration character, are also incorporated into the model. The model describes also imperfect fastening of the walls panels edges to the rigid frame. All assumptions applied to derive the model are chosen to relate the model to the realities of the utility. In the second part of the paper in order to prove the correctness of the derived model and give a better physical insight into the system, simulations are performed by means of a general-purpose simulation software COMSOL Multiphysics®. Responses to noise generated by a primary source of noise located in the interior of the active casing are investigated there. Simulations conditions are chosen in such a way to demonstrate the model behaves properly in the context of all incorporated vibro-acoustic interactions that can be observed in a real system.

机译：本文的主要目的是通过开发用于这种动态系统的数学模型来提供双面板活性壳的理论研究。活性壳体的目的是通过控制器件壳体的壁板的振动来减少为声学环境产生的装置噪声。本文涉及包括安装到刚性框架的六个双面板壁的有源壳体的数学建模和模拟。壳体被认为是复合耦合的振动声系统，其中壁板由壳体内的声场和粘合到壁板上的致动器进行激发并用于主动控制。壳体内的声场又由源自器件本身的噪声产生，以及由所有振动壁板产生的次要声音。在本文的第一部分中，对正在考虑的系统的数学模型进行理论分析。 Kirchhoff-Love方程用于描述壁板动力学，并且声波方程被应用于描述适当介质中的声场。派生作为耦合偏微分方程的系统的数学模型，受到适当的边界条件的影响。纵岩和声学 - 振动特征的流体结构相互作用也结合到模型中。该模型还描述了壁板边缘到刚性框架的不完美。选择应用于导出模型的所有假设将模型与实用程序的现实相关联。在本文的第二部分中，为了证明衍生模型的正确性并对系统提供更好的身体洞察，通过通用仿真软件COMSOLMultiPhysics®进行模拟。研究了位于有源壳体内部产生的主要噪声产生的噪声的响应。模拟条件以这样的方式选择，以证明在所有掺入的vibro-声相互作用的上下文中正确的行为的行为能够在真实系统中观察到。

Double-panel active noise reducing casing with noise source enclosed inside - Modelling and simulation study

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