한국음향학회지 (The Journal of the Acoustical Society of Korea)

  • 제22권8호
  • /
  • Pages.637-644
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  • 2003
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  • 1225-4428(pISSN)
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  • 2287-3775(eISSN)
한국음향학회 (The Acoustical Society of Korea)
권호 표지

유한요소법을 이용한 Tonpilz 트랜스듀서의 최적구조 설계

Optimal Structural Design of a Tonpilz Transducer by Means of the Finite Element Method

  • 발행 : 2003.11.01
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초록

본 연구에서는 대표적인 수중 음향 트랜스듀서인 Tonpilz 트랜스듀서에 대하여 설계변수들이 트랜스듀서 성능에 미치는 영향을 유한요소 해석을 통하여 파악하였다. 나아가 그 결과들의 통계적 다중 회귀분석을 통하여 응력 강화 (Stress stiffening) 효과를 고려한 공진 주파수, 대역폭 및 발생 음압을 이들 설계변수들의 함수로 도출한 후, 제한 최적화법인 SQP-PD 방법을 이용해 공진 주파수 30,000 Hz 와 -3dB 대역폭 10% 이상을 가지며 최대 음압을 구현할 수 있는 트랜스듀서의 최적구조를 결정하였다. 또한 SQP-PD 방법에 의한 최적값을 유한요소 해석에 의한 값과 비교함으로써 최적값의 타당성을 검증하였고, 본 연구에서 제시한 설계법이 계산시간의 단축과 높은 정확성을 가짐을 확인하였다.

In this study, with the FEM we analyzed the variation of the resonance frequency, bandwidth, and sound pressure of the Tonpilz transducer in relation to its design variables. Through statistical multiple regression analysis of the results, we derived functional forms of the resonance frequency, bandwidth, and sound pressure in terms of the design variables. By applying the constrained optimization technique, SQP-PD, to the derived function, we determined the optimal structure of the transducer that could provide the highest sound pressure level at the resonance frequency of 30,000 Hz and having the -3 dB bandwidth more than 10%, The validity of the optimized results was confirmed through comparison of the optimal performance with that of the FEA. The optimal design method proposed could reflect all the cross-coupled effects of multiple structural variables, and could determine the detailed geometry of the transducer with great efficiency and rapidity.

키워드

참고문헌

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