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<p>This study investigates modifications to the ZK-Type double-enveloping worm gear drive. Initially, a&#xa0;mathematical model for the ZK-Type double-enveloping worm was derived using a&#xa0;grinding cone based on the theory of gearing. The tooth profile of the conjugate worm wheel was then developed with the aid of a&#xa0;ZK-Type worm-like hob cutter. The original design of the ZK-Type double-enveloping worm gear drive features line contact, which renders it sensitive to assembly misalignments. Hence, this study introduced three modification methods to transition from line contact to stabilized point contact, thereby reducing sensitivity to assembly misalignments. Moreover, computerized tooth contact analysis was utilized to simulate contact paths, contact patterns, and transmission errors related to the proposed modifications of the ZK-Type double-enveloping worm gear drive. Additionally, this study explored the impact of assembly errors on contact paths, contact patterns, and transmission errors, elucidating the findings through numerical examples. Ultimately, a&#xa0;modified ZK-Type double-enveloping worm gear drive was successfully developed, demonstrating insensitivity to assembly errors while maintaining continuous and low transmission errors.</p>

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Tooth contact analysis of a modified ZK-type double-enveloping worm gear drive

  • 期刊论文

  • 发表日期：

    2025年8月26日

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  • Yi-Cheng Chen,
  • Jun-Wei Tsao

摘要

This study investigates modifications to the ZK-Type double-enveloping worm gear drive. Initially, a mathematical model for the ZK-Type double-enveloping worm was derived using a grinding cone based on the theory of gearing. The tooth profile of the conjugate worm wheel was then developed with the aid of a ZK-Type worm-like hob cutter. The original design of the ZK-Type double-enveloping worm gear drive features line contact, which renders it sensitive to assembly misalignments. Hence, this study introduced three modification methods to transition from line contact to stabilized point contact, thereby reducing sensitivity to assembly misalignments. Moreover, computerized tooth contact analysis was utilized to simulate contact paths, contact patterns, and transmission errors related to the proposed modifications of the ZK-Type double-enveloping worm gear drive. Additionally, this study explored the impact of assembly errors on contact paths, contact patterns, and transmission errors, elucidating the findings through numerical examples. Ultimately, a modified ZK-Type double-enveloping worm gear drive was successfully developed, demonstrating insensitivity to assembly errors while maintaining continuous and low transmission errors.