任意边界梁的声辐射模态伴随系数测量

Measurement of Adjoint Coefficients of Sound Radiation Modes for the Beam with Arbitrary Boundary

声辐射模态伴随系数的获取是基于声辐射模态理论进行 ASAC控制中的重要环节。该文在声辐射模态理论及一维分布式压电传感器方程基础上 ,以 Fourier级数展开的方法 ,给出了梁结构 PVDF传感器形状与边界条件无关的设计方法。由此得到的传感器可以用于任意边界条件与任意速度分布 ,拓宽了其应用范围。并以简支梁、固定梁和悬臂梁为例 ,测量得到了各自的第一、二阶声辐射模态伴随系数。并对实验数据进行了分析比较。

It is important in ASAC based on acoustic radiation modes to obtain adjoint coefficients of the radiation modes. Using the theory of radiation modes and the piezoelectric equation, a Fourier series expansion method is presented to design the PVDF sensors. The PVDF sensors designed by this method could be used to measure the adjoint coefficients for any beam. For a simply supported beam, a fixed beam and a cantilever beam, the adjoint coefficients of the first and second radiation modes are measured with the PVDF sensors. The analysis and comparison of the experimental data are given.