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http://dx.doi.org/10.7474/TUS.2020.30.3.181

Approximate Solution for Constant Velocity of Archimedean Spiral for Abrasion Testing of Rock Cutting Tools  

Kang, Hoon (Korea Research Institute of Standards and Science)
Kim, Dae-ji (Korea Institute of Industrial Technology)
Song, Changheon (Korea Institute of Industrial Technology)
Oh, Joo-Young (Korea Institute of Industrial Technology)
Cho, Jung-Woo (Korea Institute of Industrial Technology)
Publication Information
Tunnel and Underground Space / v.30, no.3, 2020 , pp. 181-192 More about this Journal
Abstract
Pin-on-disk test is a suggested abrasion testing method by ASTM (American Society for Testing and Materials). This briefly illustrated the Archimedean spiral motion of a pin type specimen on a disk. To apply this method to rock cutting tools, a constant linear velocity (CLV) is precisely maintained during the test. We defined the two velocity vectors (RPM and horizontal speed) which connected to the resultatnt velocity. We derived a differential equations for the two parameters under CLV condition. It was difficult to find a exact solution. Previous literatures had been reviewed, and an approximate solution was investigated. We mathematically simulated the result for a certain parameter, and examine the accuracy of the solution.
Keywords
Abrasion test; Archimedean spiral; Constant linear velocity; Approximate solution; accuracy;
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