On-Line Measurement Method for Diameter and Roundness Error of Balls
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ORIGINAL ARTICLE
On‑Line Measurement Method for Diameter and Roundness Error of Balls Yindi Cai1 · Bo Xie1 · Siying Ling1 · Kuang‑Chao Fan1 Received: 8 June 2020 / Revised: 7 July 2020 / Accepted: 9 July 2020 © International Society for Nanomanufacturing and Tianjin University and Springer Nature Singapore Pte Ltd. 2020
Abstract This paper presents an on-line measurement method for the diameter and roundness error of balls. An easy-installation rotary scanning system, which integrates the principles of the diameter and the roundness measurements, is constructed. The rotary scanning system consists of a rotary stage, a linear stage, and two sensors with a flat probe. Two sensors are initially installed on the linear stage and contact each other. The outputs of two sensors are reset to zero at first. The ball is then mounted on the rotary stage and positioned between two flat probes. The variations of the diameter and the roundness error of the ball at each angular position can be directly recorded by two sensors when the ball is rotated by the rotary stage. Substituting the outputs of two sensors into the proposed mathematical models, the diameter and roundness error can be evaluated. The effects of the alignment error induced by the spindle error of the rotary stage and the titling error and the eccentric error of the ball on the measurement accuracy can be self-separated in the proposed on-line measurement method. A series of experiments are carried out to verify the effectiveness and the capability of the proposed on-line measurement method and the designed rotary scanning system. The designed system is easy to construct both in the laboratory environment and the factory field. Keywords On-line measurement · Diameter · Roundness error · Alignment error
1 Introduction The measurement of the roundness error, which is defined as a geometrical property of a cross section of the roundshaped workpiece, is significantly important in the fields of the mechanical production control [1–3] and the form metrology [1, 4, 5]. Commercial roundness measuring instruments and coordinate measuring machines with a high measurement accuracy are widely applied to measure the roundness error of round-shaped workpieces [6, 7]. However, those instruments cannot be used for the on-line measurement [5]. The high cost is an additional difficulty. Therefore, many low-cost and on-line measurement methods have been developed to measure the roundness error of balls, such as the methods based on the principle of the laser metrology [8, 9], the image processing technology [8, 10], and the error separation [11–20]. * Kuang‑Chao Fan [email protected] 1
Key Laboratory for Micro/Nano Technology and System of Liaoning Province, Dalian University of Technology, Dalian 116024, China
Among those methods, the error separation methods, including the multi-step method [1, 11–13] and the multi-probe method [14–20], are widely used for on-line measuring the spindle error of the rotary stages and the roundness errors of the round-shaped workpieces. Comp
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