On the lumped parameter modeling of worm gear mechanisms: Experimental validation and insights

IF 5.9 1区工程技术 Q1 ENGINEERING, MECHANICAL

Mechanism and Machine Theory Pub Date : 2025-12-01 Epub Date: 2025-10-22 DOI:10.1016/j.mechmachtheory.2025.106266

Giulia Cristofori, Mattia Battarra, Emiliano Mucchi

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引用次数: 0

Abstract

A non-linear 8-DOF model capable of capturing the fundamentals of the worm gear dynamics has been developed. The model incorporates external excitations, non-linear time-varying meshing stiffness, and components related to friction phenomena. This study is dedicated to a thorough exposition of the lumped parameter model, accompanied by a comprehensive examination of its equations and an analysis of the impact of diverse contributions. The procedure employed to determine the meshing stiffness is further investigated using a finite element methodology, as it is a crucial input for the dynamic model. Furthermore, a comprehensive description of the experimental campaign conducted to validate the model is presented, enabling an in-depth analysis of the impact of speed and torque on the overall dynamics of worm gear mechanisms. In order to assess the capability of the model to accurately capture the effects of these two parameters, a comparison is made between the numerical results, specifically the bearing forces and transmission errors, and the experimental data. These comparisons facilitate the validation of the model.

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蜗轮机构集总参数建模：实验验证与启示

一个非线性的8-DOF模型能够捕捉基本的蜗轮动力学已开发。该模型考虑了外部激励、非线性时变网格刚度和与摩擦现象相关的分量。本研究致力于对集总参数模型进行全面的阐述，同时对其方程进行全面的检查，并分析各种贡献的影响。用于确定网格刚度的程序使用有限元方法进行了进一步研究，因为它是动态模型的关键输入。此外，对验证模型的实验活动进行了全面的描述，从而能够深入分析速度和扭矩对蜗轮机构整体动力学的影响。为了评估模型准确捕捉这两个参数影响的能力，将数值结果（特别是轴承力和传动误差）与实验数据进行了比较。这些比较有助于模型的验证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mechanism and Machine Theory 工程技术-工程：机械

CiteScore

9.90

自引率

23.10%

发文量

450

审稿时长

20 days

期刊介绍： Mechanism and Machine Theory provides a medium of communication between engineers and scientists engaged in research and development within the fields of knowledge embraced by IFToMM, the International Federation for the Promotion of Mechanism and Machine Science, therefore affiliated with IFToMM as its official research journal. The main topics are: Design Theory and Methodology; Haptics and Human-Machine-Interfaces; Robotics, Mechatronics and Micro-Machines; Mechanisms, Mechanical Transmissions and Machines; Kinematics, Dynamics, and Control of Mechanical Systems; Applications to Bioengineering and Molecular Chemistry