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To simplify the calculation, the original spring plate is simplified to an equivalent beam equal to the tensile and bending stiffness of the original structure. For the large ring gear, the complicated structure is neglected, and it is simply regarded as a rigid ring whose weight remains unchanged. The inner diameter is the diameter of the large ring gear and the spring plate connection point, and the outer circle is the meshing circle. There are two methods for analyzing the spring plate: the analytical method and the finite element method, which are discussed separately below. Unless otherwise specified, all force units in the text are kg, and all length units are mm. Analytical force analysis of the spring plate The relative motion of the ring gear to the kiln body can be depicted by three parameters: a linear displacement along a certain angle plus a rigid body angular displacement. The deformation of the spring plate depends on the displacement of the ring gear, which establishes the relationship between the internal force and the ring gear displacement associated with the deformation of the spring plate. The internal force of the spring plate is caused by the meshing force of the ring gear and gravity. Therefore, as a plane problem, we can finally establish three equilibrium equations for the ring gear with its three displacements as unknown parameters. The remaining problem is mathematical solution.
After the spring plate is simplified into an equal-section equivalent beam of equal tensile stiffness and equal bending stiffness, it is processed according to the beam unit, and a total of beam units are grabbed. As the connection point between the beam unit spring plate and the large ring gear, there are six degrees of freedom. Considering the coordination of the unit node as the large ring gear calculation model and the connection as the beam element node, the large ring gear adopts the shell unit. But the finite element software we use does not have a shell element, so we use a double joint unit of the membrane unit plus the plate unit instead of the shell unit, a total of 25. The problem we face is a planar problem, so the displacement along the Z axis and the rotation around X and the Y axis are zero. The connection point between the spring plate and the large ring gear is a hinge point, so the two line displacements of the hinge point on each spring plate are subordinated (ie equal to) the line displacement of its corresponding main node (ie, the corresponding coincidence point on the large ring gear) However, the pair of points are independent of each other in angular displacement around the Z axis. There are two types of external loads on this structure. The idea of ​​buffering the impact load by reducing the thickness of the spring plate is not realistic. The radial stiffness of the spring plate set is also large, and even if its thickness is small, it cannot absorb the additional force caused by the top teeth generated by the bending of the kiln body.
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