Optimization of structural variables of a flextensional transducer by the statistical multiple regression analysis method

Abstract

The performance of an acoustic transducer is determined by the effects of many structural variables, and in most cases the influences of these variables are not linearly independent of each other. To achieve optimal performance of an acoustic transducer, we must consider the cross-coupled effects of its structural variables. In this study, with the finite-element method, the variation of the operation frequency and sound pressure of a flextensional transducer in relation to its structural variables is analyzed. Through statistical multiple regression analysis of the results, functional forms of the operation frequency and sound pressure of the transducer in terms of the structural variables were derived, with which the optimal structure of the transducer was determined by means of a constrained optimization technique, the sequential quadratic programming method of Phenichny and Danilin. The proposed method can reflect all the cross-coupled effects of multiple structural variables, and can be extended to the design of general acoustic transducers.

Optimal Design of a Barrel Stave Flextensional Transducer

“…10) In total, the FEA was carried out for 85 [21 (trend analysis result) + 64 (2 n experiments method)] different combinations of the structural variables. Then, the functional forms of the TVR peak , center frequency and bandwidth were derived in terms of the five structural variables.…”

“…Furthermore, investigation of all the effects through finite element analysis (FEA) is very time consuming, and is almost prohibitive with respect to a transducer that has many structural variables such as the flextensional transducer considered in this paper. 10) Therefore, in this study, we analyzed and designed the barrel stave flextensional transducer in order to achieve the widest frequency bandwidth by considering all the crosscoupled effects of structural variables. The transducer performance factors considered were bandwidth, center frequency and peak transmitting voltage response (TVR) based on the results of previous research results.…”

“…The transducer performance factors considered were bandwidth, center frequency and peak transmitting voltage response (TVR) based on the results of previous research results. 10) The optimization procedure consists of FEA of the transducer performance in regard to its structural variables, statistical multiple regression analysis of the FEA results, and con-strained maximization of a target function (i.e., the bandwidth) in sequence. The optimal structure of the transducer was determined to achieve the widest bandwidth, while satisfying given constraints on the center frequency and the peak TVR through the maximization of a target function.…”

Optimal Design of a 1-3 Piezocomposite Tonpilz Transducer by Means of the Finite Element Method

“…Table 2 lists the structural variables whose optimal values are to be determined within each variation range. The variation ranges were selected through rigorous preliminary calculations to achieve a desired operation frequency [4]. The preliminary results revealed that the four variables in Table 2 dominate the transducer performance.…”

New Design of the Kerfs of an Ultrasonic Two-Dimensional Array Transducer to Minimize Cross-Talk

“…Based on the results, new structures of the kerfs were proposed to reduce the cross-talk level, and detailed material properties and structures of the new kerfs were determined to increase the sensitivity while minimizing the cross-talk level. 8,9) 2. Finite Element Modeling Figure 1 shows the finite element model where the piezoelectric material is lead zirconate titanate (PZT) and the M/L represents a matching layer.…”