In structural receptances, the zeros (antiresonances) define those frequencies at which vibrations disappear. In this paper, the zero sound pressure frequency is defined as the frequency at which the sound pressure is zero at certain locations. A method for the assignment of zero sound pressure frequencies using measured sound pressure receptances and structural receptances is proposed through two forms of structural modifications: rank-one modification and higher-rank modification. In rank-one modification, the sound pressure receptances of the modified structure are obtained by using the structural receptances with the Sherman-Morrison formula. In higher-rank modification, the modifications are determined by an analysis of the null space of a matrix consisting of structural receptances and sound pressure receptances. This method requires only a few structural receptances and sound pressure receptances, and no structural models or acoustic models are needed. Numerical examples involving a baffled plate vibrating in air and a fluid-loaded finite cylindrical shell are used to demonstrate the methods. Numerical results show that the zero sound pressure frequencies can be assigned to specific frequencies by structural modification.

中文翻译：

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使用测量的声压接收和结构接收来分配零声压频率

在结构接收中，零点（反共振）定义了振动消失的频率。本文将零声压频率定义为在某些位置声压为零的频率。通过两种形式的结构修改：一阶修改和更高阶修改，提出了一种使用测量的声压接收和结构接收来分配零声压频率的方法。在一级修改中，修改结构的声压接收是通过使用谢尔曼-莫里森公式的结构接收来获得的。在更高阶的修改中，修改是通过分析由结构接收和声压接收组成的矩阵的零空间来确定的。该方法仅需要少量的结构接收和声压接收，并且不需要结构模型或声学模型。使用涉及空气中振动的挡板板和流体加载的有限圆柱壳的数值例子来演示该方法。数值结果表明，可以通过结构修改将零声压频率分配给特定频率。