Analysis of tooth profile and accumulative pitch errors of end-toothed disc and its tolerance development. (April 2018)

• Record Type: Journal Article
• Authors: Zhang, Cheng; Zhang, Jian-run; Tang, Pan
• Is Part Of: Mechanism and machine theory. Volume 122(2018)
• Page Start: 86
• Page End: 96
• Publication Date: 2018-04
• Subjects: End-toothed disc -- Indexing accuracy -- Processing error -- Tolerance development; Machine theory -- Periodicals; Machinery -- Periodicals; Machines -- Périodiques; Génie mécanique -- Périodiques; Machine theory; Machinery; Periodicals; 621.81
• DOI: 10.1016/j.mechmachtheory.2017.12.015
• Languages: English
• ISSNs: 0094-114X

Abstract

Highlights: Tooth width error of end-toothed disc is proposed in order to completely depict the tooth profile deviations. The indexing accuracy error model of end-toothed disc is established according to tooth profile and accumulative pitch errors. Tolerance Proportional Distribution Method is proposed to establish tolerance proportional model of high precision parts, in which the processing costs are mainly considered. The pass rate model of the end-toothed disc is established according to indexing accuracy error model and tolerance proportional model. A new approach for tolerance development is put forward to enable high-precision assemblies to be manufactured at lower costs based on the pass rate model. Abstract: Tooth profile errors of the end-toothed disc describe the tooth profile deviations which mainly contain tooth trace error and tooth profile half-angle error while accumulative pitch error describes the tooth position deviation of the end-toothed disc. In traditional analysis, neither the deviation of the benchmark of tooth trace error nor that of tooth profile half-angle error is considered, while the deviations exist in engineering. Hence, tooth width error is proposed in order to describe the deviations of the benchmarks and the indexing accuracy error model is also established according to these four errors in this paper. Meanwhile, Tolerance Proportional Distribution Method is presented to establish the tolerance proportional model of end-toothed disc. Therefore, according to the indexing accuracy error model and tolerance proportional model, the pass rate model of end-toothed disc is established and a new approach for tolerance development is put forward based on this pass rate model. Finally, a simulation program is developed for random sequence generation, which replaces the processing errors measurement, and meshing process simulation, and verifies the correctness of the approach for tolerance development.