Surface fractal topography-based contact stiffness determination of spindle–toolholder joint

Zhao, Yaohua; Song, Xiaolei; Cai, Ligang; Liu, Zhifeng; Cheng, Qiang

doi:10.1177/0954406215578483

Cited by 14 publications

(10 citation statements)

References 27 publications

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“…Due to modal truncation and clutter interference during the test process, some modal data are lost and the original experimental data will inevitably contain errors. To reduce these errors, a test frequency response function is reconstructed and the original experimental data are replaced with reconstructed data to improve the accuracy of parameter identification at the joint surface [14,15]. e frequency response function of a typical mechanical joint is…”

Section: Frequency Response Function Reconstruction Methodmentioning

confidence: 99%

Vibration Characteristics of Heavy‐Duty CNC Machine Tool‐Foundation Systems

Tian

Shu

Liu

et al. 2018

Shock and Vibration

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Vibration characteristics of heavy CNC machine tools are directly affected by their foundations. To analyze vibrations of heavy CNC machine tools caused by internal and external loads, a system dynamics model of a rigid-flexible coupled heavy-duty CNC machine tool-foundation system was established based on the multibody transfer matrix method. Since joint surfaces can seriously affect the accuracy of system mechanics models, the substructure synthesis method was first used to establish a dynamic model of the joint surface. The frequency response function was then used to identify model parameters. Moreover, to improve the accuracy of parameter identification of the joint surface, a residual frequency compensation function was used to reconstruct the frequency response function. Finally, the multibody system model was implemented by combining surface elements. To verify the system dynamics model, an experimental model of the heavy-duty machine-foundation system was built, taking into consideration joint surface factors, and the theoretical model was validated by comparing theoretical, simulation, and experimental results. Using the theoretical model, the influence of different forms of concrete foundations, materials, and soil properties on the vibration characteristics of heavy-duty CNC machine tools was analyzed, thus providing a theoretical basis for optimizing and improving CNC machine tools.

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Section: Frequency Response Function Reconstruction Methodmentioning

confidence: 99%

Vibration Characteristics of Heavy‐Duty CNC Machine Tool‐Foundation Systems

Tian

Shu

Liu

et al. 2018

Shock and Vibration

Self Cite

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“…4into Eq. 23, the elastic contact stiffness can be written as a function of truncated area Equation 24has also been obtained in [18,22,25].…”

Section: Fully Plastic Deformationmentioning

confidence: 99%

“…According to the elastoplastic model developed by Zhao et al [11], the contact area and contact pressure for the single asperity in the regime of elastoplastic deformation are [11] where Combining Eqs. (25) and (26) and substituting Eqs. (7) and (8), the contact load can be obtained as where (23)…”

Section: The Zmc Modelmentioning

confidence: 99%

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Fractal modeling of normal contact stiffness for rough surface contact considering the elastic–plastic deformation

Xiao

Sun

Chen

2018

J Braz. Soc. Mech. Sci. Eng.

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In this work, a new formulation of elastic-plastic contact model for the normal contact between rough surfaces is proposed based on the fractal theory. The surface topography is described using the modified one-variable Weierstrass-Mandelbrot fractal function. A new elastoplastic asperity contact model is developed based on the contact mechanics combined with the continuity and smoothness of mean contact pressure and contact load across different deformation regimes from elastic to elastoplastic, and from elastoplastic to fully plastic. The contact stiffness of a single asperity in the three deformation regimes of fully plastic, elastoplastic and elastic is derived, which changes smoothly at transit points between different deformation modes and overcomes the shortcoming of discontinuity derived from previous model. The contact stiffness and contact load of the whole surface in the three deformation regimes are formulated by integrating the micro-asperity contact. The difference between contact stiffness calculated from the plastic-elastoplastic-elastic three contact regimes and plastic-elastic two contact regimes is not obvious for surface with rougher topograph; however, for surface with smoother topograph, the two contact regimes predict a much smaller contact stiffness. The relationship of the normal contact stiffness and the normal contact force follows a power law function for the fractal surface contact considering three deformation regimes. The power exponent is nonlinearly dependent on the fractal dimension, which is different from the linear relationship for the purely elastic contact.

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“…Pohrt and Popov 22 calculated the normal contact stiffness of elastic solids with different fractal dimensions, and found that the contact stiffness-force characteristic follows a power-law function. Zhao et al 23 also established a contact model of the spindle-toolholder joint to obtain the contact stiffness and the real contact area by integrating the contact asperities. However, all these previous studies on the normal contact stiffness are restricted to the dry rough surface contact.…”

Section: Introductionmentioning

confidence: 99%

Study on the normal contact stiffness of the fractal rough surface in mixed lubrication

Sun

Xiao

et al. 2018

Proceedings of the Institution of Mechanical Engineers, Part J:

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In this paper, an elastic interface model is developed to theoretically analyze the contact stiffness of a mixed lubrication surface where the solid and the lubricant contacts have to-be-determined contributions to the whole contact stiffness. The interfacial contact stiffness is composed of the solid contact stiffness and the lubricant contact stiffness, in which the two components are associated with each other via the equivalent thickness of lubricant. Based on the combination of two widely acknowledged ultrasonic measurement models and the Taylor approximating equation, the derivation of the lubricant contact stiffness is mostly affected by the material properties and the equivalent thickness of lubricant, and the equivalent thickness is determined by the solid contact properties under the mixed lubrication condition. Results of the mathematical analysis show that the contact stiffness of the mixed lubrication surface is larger than that of the dry rough surface due to the presence of lubricant. The interfacial contact stiffness of the mixed lubrication is obviously affected by the surface topography and the lubricant property. The proportions of contact stiffness contributed from the solid part and the lubricant part are varying with the contact area and the surface topography. Model predictions are compared with experiment results to verify the accuracy of proposed model. The analysis of the interfacial contact stiffness involved in mixed lubrication provides a theoretical basis for the performance prediction of machine tools, and might be useful to elucidate the contact properties by ultrasonic pulse probing in real engineering applications.

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Surface fractal topography-based contact stiffness determination of spindle–toolholder joint

Cited by 14 publications

References 27 publications

Vibration Characteristics of Heavy‐Duty CNC Machine Tool‐Foundation Systems

Vibration Characteristics of Heavy‐Duty CNC Machine Tool‐Foundation Systems

Fractal modeling of normal contact stiffness for rough surface contact considering the elastic–plastic deformation

Study on the normal contact stiffness of the fractal rough surface in mixed lubrication

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