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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

Inactive Publication Date: 2017-05-31
BEIJING UNIV OF TECH
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Problems solved by technology

The traditional frequency response function identification method is based on the frequency response function obtained by the experiment. The identification results are greatly affected by noise, and the experimental identification results of the system under high speed conditions are difficult to obtain. Therefore, this method is limited to the analysis of no speed conditions. Joint stiffness study under

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  • Analytical method of single-faced contact handle-main shaft combination part stiffness based on three-dimensional modified fractal theory
  • Analytical method of single-faced contact handle-main shaft combination part stiffness based on three-dimensional modified fractal theory
  • Analytical method of single-faced contact handle-main shaft combination part stiffness based on three-dimensional modified fractal theory

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Embodiment Construction

[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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Abstract

The invention discloses an analytical method of a single-faced contact handle-main shaft combination part stiffness based on a three-dimensional modified fractal theory, and particularly relates to an accurate rigidity model of the combining part considering about uneven distribution of pressure of system combining face; based on the model, the rigidity of the combining part is analyzed under the high rotate speed condition. The method includes steps of firstly establishing three-dimensional modified fractal normal and tangential stiffness models; acquiring pressure intensity of every node of a contact face through static analysis, and calculating the equivalent nominal and tangential rigidities corresponding to every node on the basis of the pressure intensity; through conversion and link in parallel, acquiring the torsional and radial stiffness value of the combining part; finally, the influence tendency of the broach force under different rotate speeds and high rotate speed on the rigidity of the combining part is disclosed, the reasonable value scale of the limit rotate speed and the broach force is confirmed. The method considers about uneven distribution of pressure in a finite element analysis, thereby carrying out the accurate modeling and analysis on the BT40 handle-main shaft combination part stiffness under the high rotate speed condition.

Description

technical field [0001] The invention belongs to the field of analysis of the dynamic characteristics of the tool handle-spindle system, and relates to a method for analyzing the radial and torsional stiffness of the single-surface contact tool handle-spindle joint based on the three-dimensional modified fractal theory, and more specifically, a method that considers the pressure of the joint surface of the system An accurate model of joint fractal stiffness with non-uniform distribution is proposed, and based on this model, the joint stiffness under high speed conditions is analyzed. Background technique [0002] The tool holder-spindle system is a key component that affects the machining accuracy of the whole machine, and the joint is one of the weak links of the system. The BT40 tool holder-spindle system connects the tool holder and the spindle together by applying broaching force to make the outer tapered surface of the tool holder and the inner tapered surface of the mai...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/23
Inventor 刘志峰许静静赵永胜蔡力钢
Owner BEIJING UNIV OF TECH
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