An exact solution based on the wavenumber integration method is proposed and implemented in a numerical model for the acoustic field in a Pekeris waveguide excited by either a point source in cylindrical geometry or a...An exact solution based on the wavenumber integration method is proposed and implemented in a numerical model for the acoustic field in a Pekeris waveguide excited by either a point source in cylindrical geometry or a line source in plane geometry. Besides, an unconditionally stable numerical solution is also presented, which entirely resolves the stability problem in previous methods. Generally the branch line integral contributes to the total field only at short ranges, and hence is usually ignored in traditional normal mode models. However, for the special case where a mode lies near the branch cut, the branch line integral can contribute to the total field significantly at all ranges. The wavenumber integration method is well-suited for such problems. Numerical results are also provided, which show that the present model can serve as a benchmark for sound propagation in a Pekeris waveguide.展开更多
旁支管是应用广泛的共振消声结构。应用解析方法推导旁支管共振结构的传递损失和共振频率计算公式,考虑三维修正,给出旁支管共振消声带宽与各种参数的定量关系,定义消声带宽与共振频率的比值为带宽参数,研究带宽参数与传递损失以及旁支...旁支管是应用广泛的共振消声结构。应用解析方法推导旁支管共振结构的传递损失和共振频率计算公式,考虑三维修正,给出旁支管共振消声带宽与各种参数的定量关系,定义消声带宽与共振频率的比值为带宽参数,研究带宽参数与传递损失以及旁支管其他参数的变化关系,最终给出旁支管共振消声带宽计算公式。最后,通过三维有限元方法(Finite Element Method,FEM)计算旁支管的消声带宽并与文中公式结果进行比较,结果显示,两种结果吻合良好,验证了计算公式的可靠性和准确性。展开更多
基金supported by the National Natural Science Foundation of China(Grant No.11125420)the Knowledge Innovation Program of the Chinese Academy of Sciences+2 种基金the China Postdoctoral Science Foundation(Grant No.2014M561882)the Doctoral Fund of Shandong ProvinceChina(Grant No.BS2012HZ015)
文摘An exact solution based on the wavenumber integration method is proposed and implemented in a numerical model for the acoustic field in a Pekeris waveguide excited by either a point source in cylindrical geometry or a line source in plane geometry. Besides, an unconditionally stable numerical solution is also presented, which entirely resolves the stability problem in previous methods. Generally the branch line integral contributes to the total field only at short ranges, and hence is usually ignored in traditional normal mode models. However, for the special case where a mode lies near the branch cut, the branch line integral can contribute to the total field significantly at all ranges. The wavenumber integration method is well-suited for such problems. Numerical results are also provided, which show that the present model can serve as a benchmark for sound propagation in a Pekeris waveguide.
文摘旁支管是应用广泛的共振消声结构。应用解析方法推导旁支管共振结构的传递损失和共振频率计算公式,考虑三维修正,给出旁支管共振消声带宽与各种参数的定量关系,定义消声带宽与共振频率的比值为带宽参数,研究带宽参数与传递损失以及旁支管其他参数的变化关系,最终给出旁支管共振消声带宽计算公式。最后,通过三维有限元方法(Finite Element Method,FEM)计算旁支管的消声带宽并与文中公式结果进行比较,结果显示,两种结果吻合良好,验证了计算公式的可靠性和准确性。