Research on the Nonlinear Stiffness Characteristics of Double-Row Angular Contact Ball Bearings under Different Working Conditions

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Abstract
To study the variation rules of nonlinear stiffness of double-row angular contact ball bearings (DR-ACBB), this paper proposed a general mathematic model for DR-ACBB under three different configurations based on the improved quasi-static model of ball bearings, an explicit expression stiffness matrix of DR-ACBB is analytically derived, and a double-layer nested iterative algorithm based on the Newton–Raphson method is designed to realize the efficient solution of the proposed model. Then, the effects of the preload, speeds, and loads on the nonlinear stiffness variations of DR-ACBB under different arrangements are comparatively analyzed. The results show that DR-ACBB under the DB and DF configurations have the same variation rule in axial and radial stiffness; that is, a nonlinear soft-spring stiffness characteristic (i.e., the stiffness decreases with the external load) within the low-speed range and light load condition, and a nonlinear hard spring stiffness characteristic (i.e., the stiffness increases with the external load) within the high-speed range or heavy load condition.
Funding Information
  • National Key Research and Development Program of China (2021YFB2011000, 52205281, 2021M62551, 2021LLRh-01-02)
  • National Natural Science Foundation of China (2021YFB2011000, 52205281, 2021M62551, 2021LLRh-01-02)
  • China Postdoctoral Science Foundation (2021YFB2011000, 52205281, 2021M62551, 2021LLRh-01-02)
  • Two-chain Fusion high-end machine tool projects of Shaanxi Province (2021YFB2011000, 52205281, 2021M62551, 2021LLRh-01-02)

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