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Calculation Method of Constant Linear Velocity Spiral Path for Pin-on-disk Abrasion Test using a Hollow Type Rock Sample

중공형 암석시편의 Pin-on-disk 마모시험을 위한 등속도 나선경로 계산방법

  • Received : 2020.07.06
  • Accepted : 2020.07.31
  • Published : 2020.08.31

Abstract

This technical note describes the calculation method of continuous constant linear velocity Archimedean spiral paths which are applied to the pin-on-disk abrasion test. Approximate constant linear velocity Archimedean spirals have unstable velocities in the very near region of the rotational origin. Thus, in this technical note, the offset distance from the rotational origin was given by using a hollow type rock sample to maintain the constant velocity during the test. Also, to connect the inward and outward spirals continuously, the information of start and end points were input on the next spiral path consecutively. Furthermore, the calculation program was developed to provide convenience for calculating constant linear velocity spirals according to the specimen dimension and abrasion test conditions.

본 기술보고는 Pin-on-disk 마모시험에서 연속적인 등속도 아르키메데스 나선 경로 계산 방법에 관해 설명한다. 근사 계산된 등속도 아르키메데스 나선은 회전 중심 가까이에서 속도가 불안정하다. 따라서 본 기술보고에서는 등속도 조건을 만족시키기 위해 중공 단면을 가지는 시편을 사용하여 원점 부근에서 오프셋을 주었다. 또한, 내향형 나선과 외향형 나선을 연속적으로 연결하기 위해서 각각의 나선의 시작과 종료 지점 정보를 다음 차례의 나선에 반영하였다. 더불어, 시편의 치수과 마모시험 조건의 변화에 따라 등속도 나선 경로를 편리하게 계산하는 데 도움을 주고자 전용 계산 프로그램을 개발하였다.

Keywords

References

  1. Farrokh, E., D.Y. Kim, 2018, A discussion on hard rock TBM cutter wear and cutterhead intervention interval length evaluation, Tunnelling and Underground Space Technology, 81, 336-357. https://doi.org/10.1016/j.tust.2018.07.017
  2. Alber, M., O. Yarali, F. Dahl, A. Bruland, H. Kaling, T.N. Michalakopoulos, M. Cardu, P. Hagan, H. Aydin, A. Ozarslan, 2013. ISRM suggested method for determining the abrasivity of rock by the CERCHAR abrasivity test. In The ISRM Suggested Methods for Rock Characterization, Testing and Monitoring: 2007-2014. 101-106.
  3. ASTM Standard G132, 2010, Standard test method for laboratory determination of abrasiveness of rock using the Cerchar method.
  4. ASTM Standard G-99, 2016, Standard Test method for Wear Tesing with a Pin-on-Disk Apparatus.
  5. Nilsen, B., F. Dahl, J. Holzhauser, P. Raleigh, 2006, Abrasivity testing for rock and soils, Tunnels and Tunnelling International, 38(4), 47-49.
  6. Kang, H., D. Kim, S.M. Lee, C. Song, J.Y. Oh, J.W. Cho, 2020, Approximate solution for constant velocity of Archimedean spiral for abrasion testing of rock cutting tools, Tunnel & Underground Space, 30(3), 181-192. https://doi.org/10.7474/TUS.2020.30.3.181
  7. Mahmood, I.A. and S.R. Moheimani, 2010, Spiral-scan atomic force microscopy: A constant linear velocity approach. In 10th IEEE International Conference on Nanotechnology, 115-120.
  8. Ziegler, D., T.R. Meyer, A. Amrein, A.L. Bertozzi, P.D. Ashby, 2016, Ideal scan path for high-speed atomic force microscopy. IEEE/ASME Transactions on Mechatronics, 22(1), 381-391. https://doi.org/10.1109/TMECH.2016.2615327
  9. Sang, X., A.R. Lupini, R.R. Unocic, M. Chi, A.Y. Borisevich, S.V. Kalinin, E. Endeve, R.K. Archibald, S. Jesse, 2017, Dynamic scan control in STEM: Spiral scans. Advanced Structural and Chemical Imaging, 2(1), 1-8.
  10. Maple 2019, Maplesoft, https://www.maplesoft.com