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分析了薄球壳压电换能器的暂态响应，建立了其等效电路，并且求出了电驱动信号与换能器的瞬时运动之间的传输函数。利用留数定理，可以对任何电驱动信号，解析地求出换能器的运动在时域与频域的暂态函数。因为薄球壳换能器向四周均匀地辐射声波，故可等效为一个无方向的点源，所以其时域与频域内的暂态函数是声波测井研究中采用的源函数的较好表示，并为建立新的声波测井机电声网络与系统分析理论奠定了基础。
The transient response of the thin-shell piezoelectric transducer is analyzed and its equivalent circuit is established. The transfer function between the electric drive signal and the instantaneous motion of the transducer is obtained. Using the residue theorem, the transient function of the transducer motion in the time and frequency domains can be analytically solved for any electrical drive signal. Because the thin spherical shell transducer radiates the sound waves evenly around, it can be regarded as a non-directional point source, so the transient function in the time domain and the frequency domain is the source function used in sonic logging research Said, and laid the foundation for the establishment of a new acoustic logging electro-acoustic network and system analysis theory.