刚度
非线性系统
有限元法
圆角(机械)
结构工程
联轴节(管道)
工程类
控制理论(社会学)
机械工程
计算机科学
物理
量子力学
人工智能
控制(管理)
作者
Siyu Chen,Rulong Tan,Xiaodong Guo,Weiqing Zhang,Ruizhi Shu
标识
DOI:10.1016/j.mechmachtheory.2022.105028
摘要
An accurate and numerically efficient nonlinear coupled excitation model for straight bevel gears (SBG) with linear and point contact is proposed. This model incorporates stiffness, load distribution, and transmission error (TE) models. Considering root fillet and axial mesh force components, energy equivalence principle, accumulated integral potential energy method, and segment coupling theory, single mesh stiffness (SMS) models with and without coupling effect are proposed. On this basis, the formula for calculating SMS under the action of friction is given. Time-varying mesh stiffness (TVMS), load distribution, and TE models were established using the deformation compatibility condition and principle of force balance. The proposed model was verified by comparing the calculation results with those obtained using the finite element method (FEM). The semi-analytical TVMS model used in this study could be solved accurately and quickly. The meshing characteristics and changing rules of SBG under the influence of different modification methods, modification amounts, and friction coefficients were analyzed. This study is expected to help further enrich and develop gear stiffness theory and provide a theoretical tool for gear dynamics research.
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