,, established an AM of the time-varying meshing stiffness (TVMS) excitation of spur gears considering the influence of gear tooth errors and tooth profile modifications, based on the works of Weber, Cornell, and Chaari, ]. With respect to stiffness excitation calculations, spur and helical gear pairs have been extensively studied, and remarkable progress has been made. Therefore, the construction of an accurate and numerically efficient nonlinear excitation analytical model (AM) has become a popular topic in many gear research fields.
This study is expected to help further enrich and develop gear stiffness theory and provide a theoretical tool for gear dynamics research.Ī gear's internal nonlinear excitation includes stiffness, transmission error (TE), and nonlinear excitation force, which directly affect the vibration, noise, and other dynamics of gear systems. The meshing characteristics and changing rules of SBG under the influence of different modification methods, modification amounts, and friction coefficients were analyzed. The semi-analytical TVMS model used in this study could be solved accurately and quickly. The proposed model was verified by comparing the calculation results with those obtained using the finite element method (FEM). Time-varying mesh stiffness (TVMS), load distribution, and TE models were established using the deformation compatibility condition and principle of force balance.
On this basis, the formula for calculating SMS under the action of friction is given. 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. This model incorporates stiffness, load distribution, and transmission error (TE) models. An accurate and numerically efficient nonlinear coupled excitation model for straight bevel gears (SBG) with linear and point contact is proposed.
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