Method for analyzing dynamic characteristics of bolted structure based on three-dimensional fractal theory

A technology of fractal theory and analysis method, applied in the direction of electrical digital data processing, special data processing applications, instruments, etc., can solve problems such as limitations, influence of statistical parameters, inability to consider multiple influencing parameters, etc.

Inactive Publication Date: 2017-03-22
BEIJING UNIV OF TECH
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Problems solved by technology

[0003] In the 1960s, after people realized the important influence of the contact quality of the joint surface on the overall structure of the machine tool, scholars at home and abroad began to study the dynamic characteristics of the joint surface. For half a century, there have been many methods for identifying and estimating the parameters of the joint surface. People directly test the relationship between force and displacement at the joint surface to study the stiffness of the joint surface. This identification method is the most direct but is limited by the inability to consider multiple influencing parameters in each experiment.
After that, Whitehouse and Archard jointly established the W-A model. Although it is improved compared with the G-W model, it is still based on statistical analysis. This makes the statistical parameters of the surface contact analysis affected by the resolution of the instrument.

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  • Method for analyzing dynamic characteristics of bolted structure based on three-dimensional fractal theory
  • Method for analyzing dynamic characteristics of bolted structure based on three-dimensional fractal theory
  • Method for analyzing dynamic characteristics of bolted structure based on three-dimensional fractal theory

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Embodiment Construction

[0018] The following is attached Figure 2-5 The present invention will be described in further detail.

[0019] Step (1) Establish a three-dimensional joint surface stiffness and damping model

[0020] Based on the MB fractal theory, combined with the Hertz theory, and considering the elastoplastic deformation and the domain expansion factor ψ, the total elastic normal load, elastoplastic normal load and the normal load of a single asperity in different deformation regions can be integrated. The total plastic normal loads are as follows:

[0021]

[0022]

[0023]

[0024] Where H G1 ,H G2 Both are coefficients related to material properties and fractal parameters of the joint surface, H is the hardness of the softer material, H=2.8Y (Y is the yield strength value); k is the parameter related to Poisson's ratio, k=0.454+0.41ν; a' 1c ,a′ 2c They are the critical cross-sectional area between elastic, elastoplastic and plastic deformation.

[0025] Then the total normal load of the joi...

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Abstract

The invention relates to a method for analyzing dynamic characteristics of a bolted structure based on a three-dimensional fractal theory. Modern industries rapidly develop; therefore, requirements on the machining precision of a machine tool are also increasingly high; but, the contact quality of a joint part between machine tool parts has a great influence on the machining precision of the machine tool; researches show that 60-80% of the total rigidity and 90% of the total damping of the machine tool come from the joint part; but, the integral rigidity and damping of the machine tool determine the machining precision of the machine tool; and thus, the theoretical basis can be provided for researching the integral dynamic performance of the machine tool by accurately estimating the contact rigidity and damping of the joint part. For a bolted joint surface, in combination with MATLAB numerical value simulation software and ANSYS finite element analysis software, a method for estimating the dynamic performance of the bolted joint surface is provided based on a three-dimensional fractal surface and a contact rigidity and damping model built by considering the influence of an elastoplastic deformation stage simultaneously.

Description

Technical field [0001] The invention relates to a method for analyzing dynamic characteristics of a bolted structure based on three-dimensional fractal theory, belonging to the field of structural dynamic performance research, and specifically relates to estimating the stiffness and damping characteristic parameters of the joint surface by establishing a three-dimensional fractal model, thereby achieving the prediction of the overall dynamic performance of the structure Analytical method. Background technique [0002] Bolted joint surface is a common joint surface in mechanical parts, and the contact quality of the joint surface greatly affects the overall performance of the mechanical structure. Research shows that the stiffness and damping of the joint surface affect the overall stiffness of the machine tool structure. And damping, its contact quality has become one of the important factors affecting the machining accuracy of machine tools. Therefore, the research on how to es...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/17G06F30/23
Inventor 刘志峰许静静赵永胜蔡力钢
Owner BEIJING UNIV OF TECH
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