DOI QR코드

DOI QR Code

Kinetic Analysis of the Probability of Hexagonal Face in Juryeonggu

주령구에서 육각면이 나올 확률에 대한 운동역학적 해석

  • Received : 2017.06.01
  • Accepted : 2017.08.23
  • Published : 2017.11.01

Abstract

Juryeonggu is a cuboctahedral die that was used during the Silla period in ancient Korea. This cuboctahedral die consists of two different penal servitudes of 14 sides; however, its equal probability distribution enables it to be used as a die. In this paper, a precise cuboctahedral die, Juryeonggu, was manufactured, and its probability was measured through experiments. Next, the probability was verified through Multibody-dynamics (MBD) modeling and analysis, and the effect of the coefficient of friction on the probability distribution was studied.

주령구는 안압지에서 출토된 14면체 주사위인데, 6개의 정사각면과 8개의 육각면으로 구성되어 있으며, 14개의 면에는 각각 다른 문구가 새겨져 있다. 본 연구에서는 이러한 14면체 주사위를 정밀하게 가공한 뒤, 실험을 통해 육각면이 나올 확률을 조사하였다. 다음으로 다물체동역학 모델링을 통하여 육각면이 나올 확률을 알아본 뒤, 마찰계수에 따라 확률이 달라지는 분석하였다.

Keywords

References

  1. Hu, M.-H., 1994, "Probabilities for a Cuboctahedral Die," KJAS, Vol. 1, pp. 113-119.
  2. Powers. D.L, 1994 "Probabilities for a Cuboctahedral Die," SAIM Review, Vol. 36, pp. 109-111. https://doi.org/10.1137/1036012
  3. Che, G.-C. and Lee, C.-S., 1995, "Mechanical Investigation Application Statistics Study About Probability of Cuboctahedral Die," KJAS, Vol. 8, No. 2, pp. 179-185.
  4. Jang, D.-H., 2005, "Reinvestigation of Cuboctahedral Die," Korean Journal of Applied Statistics, Vol. 18, No. 2, pp. 445-452. https://doi.org/10.5351/KJAS.2005.18.2.445
  5. Kim, J. S., Choi, C. K. and Yoo, H. H., 2014, "Application of Excitation Moment for Enhancing Fault Diagnosis Probability of Rotating Blade," Trans. Korean Soc. Mech. Eng. A, Vol. 38, No. 1, pp. 205-210. https://doi.org/10.3795/KSME-A.2014.38.2.205
  6. Lee, J.-H. and Yoo, W.-S., 2008, "Multibody Dynamics Simulation of 14 Facepieces and Probability Study by Using Residual Moment," Proceedings of KSME Fall Meeting.
  7. MSC. Software, 2003, MSC ADAMS Technical Manual.