Static Meshing Analysis of Spiral Bevel Gears Based on Vector Form Intrinsic Finite Element Method

According to the basic theory of the vector form intrinsic finite element (VFIFE) and its element type and current applications, basic theoretic formulas of the hexahedral entity element are derived by calculating reverse movement and element inner forces, which extends VFIFE application to complex solid structures and engineering fields. For the collision-contact behavior of solid surfaces, the master-slave algorithm and inside-outside algorithm are used to perform global search and local search between the particle and hexahedral mesh surface of the outer entity surface, and a penalty method based on the central differential formula is presented for the analysis of collision response. Taking a pair of spiral bevel gears for example, its model is established and analyzed by VFIFE, and the results are compared with that of finite element method (FEM). Comparison shows that the stress, contact force and contact pattern agree well with the FEM results, and the VFIFE method is efficient for analyzing solid structures with a relatively sparse grid.