壁面分布次级声源对管道中高阶模式声波的有源控制
Active control of higher-order sound in ducts using boundary-located secondary sources
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摘要: 针对管道中高阶模式声波的有源控制问题,探究了管道壁面布放次级声源的控制机制。首先根据管道声场模式理论和有源控制准则,推导了无限长管道内次级声源激励声场实现控制的必要条件,然后论证了次级声源沿管道壁面分布的可控性,并提出将空间分布离散化后的控制策略;最后通过数值仿真验证了沿壁面分布的有效性。结果表明,当次级声源在管道壁面的周向分布满足空间采样定律且沿轴向分布具有足够长度时,可以取得显著的有源控制效果.Abstract: Mechanisms of using boundary-located secondary sources in ducts are studied to explore the feasibility of active control of higher-order propagating sound.Firstly,based on the modal analysis theorem of sound field in ducts and the principle of active control,the necessary conditions of the sound generated by spatially distributed secondary sources in infinite ducts are derived.Secondly,the feasiblities of using boundary-located secondary sources are analysed.A control strategy using point sources is proposed by discretizing feasible spatial distributions thereafter.Finally,the effectiveness of using boundary-located secondary sources is verified by numerical simulations.The results show that significant noise reduction can be achieved if the spatial sampling theorem of the distribution of secondary sources is satisfied in the circumferential direction and the axial dimension of secondary sources is sufficiently large.