Reconstruction of high-speed cam curve based on high-order differential interpolation and shape adjustment

Jianwu Yu, Hong Luo, Junzhi Hu, Thai Vinh Nguyen and Yuetuo Lu

Applied Mathematics and Computation, 2019, vol. 356, issue C, 272-281

Abstract: Mathematical defects of general cam curves such as high-order discontinuity and overlarge peak values often bring excessive transmission errors and vibrations to high-speed cam-follower systems. A comprehensive method is proposed in this study to develop high-speed cam curves with preferable mathematical characteristics. A high-order differential interpolation curve is first constructed by using nodal basis functions to accurately match with the multi-order derivatives on multiple nodes. A flexible cam curve is then reconstructed by adding variable shape factors on critical nodes for further shape adjustments. Numerical cases indicate that the proposed method can not only help construct a faithful cam curve satisfying all the given constraints for displacement, velocity, acceleration and jerk, but also effectively reconstruct a high-order continuous cam curve with lower peak values for high-speed precision cam mechanisms. The proposed method has been demonstrated to be effective and applicable in user-oriented reverse design, modification, and optimization of high-speed cam curves.

Keywords: Cam curve; Mathematical characteristic; Multi-order derivatives; High-order interpolation; Shape adjustment; Reconstruction (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:356:y:2019:i:c:p:272-281

DOI: 10.1016/j.amc.2019.03.049

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