摘要
本文采用部分波和二阶微扰理论对二维矩形波导管内声波的非线性传播问题进行了研究。由二次谐波的边界条件和初始条件，可得到物理图象清晰、便于计算的二次谐波声场解析式。结果表明，不同基波传播模式间的相互作用不存在二阶非线性，管内任意振幅分布的稳态激发源产生的二次谐波为各个模式二次谐波之和，且二次谐波声场分布具有对称性。
Abstract: Nonlinear acoustic waves that propagate within a two-dimensional rectangular duct are fully studied by using partial wave and second-order perturbation theory. With second-harmonic boundary condition and initial exciting condition the second-harmonic analytical expressions, which have clearly physical pictures and are applicable to quantitative computation, are obtained. The results show that the interaction between two arbitrary fundamental modes does not possess second-order nonlinearity,the second harmonics caused by a steady exciting source with arbitrary vibration amplitude distribution equal the sum of second harmonics associated with each fundamental mode, and the spatial distribution of second-harmonic field within the duct is of symmetry.
出处
《声学学报》
EI
CSCD
北大核心
1997年第5期394-401,共8页
Acta Acustica
