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Optimal Shape Design of Pyeongyeong Considering Structural and Acoustical Characteristics

구조-음향 특성을 고려한 편경의 최적 형상 설계

  • Received : 2013.12.05
  • Accepted : 2013.12.31
  • Published : 2014.03.01

Abstract

An optimal shape design algorithm is suggested to systematically design a traditional Korean musical instrument, the Pyeongyeong. The Pyeongyeong consists of 16 different chime stones called Gyeongpyeons. The first natural vibration frequency of each Gyeongpyeon must be adjusted to its target frequency, which is determined by the traditional sound tuning method. The second and third natural frequencies must be proportional to the first natural frequency with a specific ratio (1:1.498:2.378). The key idea in our suggested design algorithm is to use the sensitivity of natural frequencies to the variation in the length of each side of a Gyeongpyeon. The dimensions of five different Gyeongpyeons are determined by following the suggested algorithm. Changes in natural frequencies with respect to local thickness variation are closely investigated to compensate for errors that may occur during manufacturing.

Keywords

Optimal Shape Design;Natural Frequency;Pyeongyeong;Sound;Sensitivity

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