Analytical method of single-faced contact handle-main shaft combination part stiffness based on three-dimensional modified fractal theory
A technique of fractal theory and stiffness analysis, applied in electrical digital data processing, special data processing applications, instruments, etc., can solve problems such as large noise influence on identification results and difficulty in obtaining experimental identification results
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[0015] The following is attached Figure 1-4 And embodiment the present invention is described in further detail.
[0016] Step (1) Establish three-dimensional normal and tangential stiffness models
[0017] Based on the M-B fractal theory, combined with the Hertz theory, and considering the elastoplastic deformation and domain expansion factor ψ, the total elastic normal load, elastoplastic normal load and The total plastic normal loads are as follows:
[0018]
[0019]
[0020]
[0021] where H G1 ,H G2 Both are coefficients related to material properties and fractal parameters of the joint surface,
[0022] H is the hardness of the softer material, H=2.8Y (Y is the yield strength value); k is a parameter related to Poisson's ratio, k=0.454+0.41ν; a' 1c ,a' 2c are the critical cross-sectional areas between elastic, elastic-plastic and plastic deformations, respectively.
[0023] Then the total normal load on the combined surface can be expressed as F=F e +...
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