Dynamic modeling of hydrostatic guideway considering compressibility and inertia effect

Du, Yikang; Mao, Kuanmin; Yaming, Zhu; Wang, Fengyun; Mao, Xiaobo; Li, Bin

doi:10.1007/s11465-015-0331-4

Cited by 7 publications

(3 citation statements)

References 16 publications

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“…Y Du et al 77 introduced compressible fluid in the simulation of rectangular oil pad and established the dynamic model of a hydrostatic guideway, while JS Oh et al 78 used mixed two-probe method (MTPM) to measure the moving error of a hydrostatic guideway. Moreover, Z Wang et al, 79 based on the dynamic model of hydrostatic guideway shown in Figure 30, analyzed the relationship between oil supplying condition and moving error.…”

Section: Rectangular Oil Padmentioning

confidence: 99%

A review of hydrostatic bearing system: Researches and applications

Liu

Wang

Cai

et al. 2017

Advances in Mechanical Engineering

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Hydrostatic bearing is a key part that provides precision and long life to machine tools. It is one of the embodiments of tribology, mechanics, optimization method, and structural design in engineering practice. Articles about hydrostatic bearings since 1990 are collected in this review. Researching status is evaluated in two aspects: basic theory and typical application. This article presents a review of research articles related to introducing developments in hydrostatic bearings. Basic theory contains equations and analysis methods which include analytic, numerical, and experimental methods. Typical applications are based on rectangular oil pad, circular oil pad, and journal bearings. Moreover, this article focuses on the analysis of the relevant model, solution, and optimization and summarizes the hotspots and development directions.

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Section: Rectangular Oil Padmentioning

confidence: 99%

A review of hydrostatic bearing system: Researches and applications

Liu

Wang

Cai

et al. 2017

Advances in Mechanical Engineering

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“…The coupling effect between the fluid film and deformation of the shaft was analyzed. Du et al [23] presented a mass-spring-Maxwell model considering the effects of inertia, squeeze and compressibility for the oil film of hydrostatic bearings. Identification results show that mass-spring-Maxwell model is the most appropriate dynamic model for the oil film.…”

Section: Introductionmentioning

confidence: 99%

A magnetorheological hydrostatic guideway system for machining vibration control

Chengpei

2018

J Braz. Soc. Mech. Sci. Eng.

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A novel magnetorheological (MR) hydrostatic guideway system for control of machining vibration is proposed. After the analysis of the relationship between correlation parameters and working variables, a computational fluid dynamics (CFD) model is presented. With this model incorporated into the commercial code FLUENT, a numerical study on performance parameters of MR hydrostatic guideway system is carried out efficiently. Static stiffness and damping coefficients are calculated by using dynamic mesh technique based on perturbation theory. Analysis on dynamic behaviors of the MR hydrostatic guideway under the action of machining force is performed. An experimental study has been undertaken in order to validate the accuracy of the numerical model. It is observed that working variables (magnetic flux density, initial pressure ratio and load ratio) have significant effects on the performance characteristics (flow rate, frictional force, stiffness and damping) of the system. Optimal static stiffness and high damping can be expected simultaneously. Dynamic stiffness of the system can be improved and vibration caused by machining force can be reduced remarkably by increasing magnetic flux density. It is effective to control machining vibration by applying MR hydrostatic guideway system.

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“…Morosi and Santos (2011) developed a model of the hybrid journal bearing based on the modified general form of the Reynolds equation. Du et al (2015) considered the effects of inertia, squeeze and compressibility to establish a dynamic model of the hydrostatic guideway. The results showed that "mass-spring-damper" model was the most appropriate dynamic model of the hydrostatic guideway.…”

Section: Introductionmentioning

confidence: 99%

Rapid calculation method for estimating static and dynamic performances of closed hydrostatic guideways

Wang

Liu

Feng

2017

ILT

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Purpose The purpose of this paper is to establish a simplified model of the closed hydrostatic guideway for the rapid analysis of static and dynamic characteristics. Further, the influence of compressibility and dynamic frequency are taken into consideration in the new dynamic model. Design/methodology/approach The new model is based on the second kind of Lagrange equation. In this model, the closed hydrostatic guideway is supported by 12 pads, and each oil pad is equivalent to a nonlinear spring-damper system. The equivalent spring coefficient and damper coefficient of the oil pad are extracted by the three different equivalent methods. Finally, the validation experiments of step load response and dynamic stiffness are conducted on a hydrostatic guideway. Findings For solving the step response, the linear spring-damper model and the nonlinear spring-damper Model 1 are better than the nonlinear spring-damper Model 2. The accuracy of the three methods are very high for static stiffness calculation. For the calculation of dynamic stiffness, the nonlinear spring-damper Model 2 is better than the nonlinear spring-damper Model 1. The linear spring-damper model has low precision for dynamic stiffness calculation, especially at high frequency. The accuracy of the new model is validated by experiments. Originality/value The equivalent method of nonlinear spring-damper system has higher accuracy. Different equivalent methods should be adopted for different load types. The computational speeds of the new dynamic model with the three methods are much better than finite element method (about ten times).

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Dynamic modeling of hydrostatic guideway considering compressibility and inertia effect

Cited by 7 publications

References 16 publications

A review of hydrostatic bearing system: Researches and applications

A review of hydrostatic bearing system: Researches and applications

A magnetorheological hydrostatic guideway system for machining vibration control

Rapid calculation method for estimating static and dynamic performances of closed hydrostatic guideways

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