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Pneumatic hammer characteristics of the aerostatic thrust bearing with central orifice and pressure-equalizing groove

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Abstract

The introduction of central orifice and central pressure-equalizing groove (PEG) greatly improves the load capacity of aerostatic thrust bearing. However, it is also easier to cause pneumatic hammer vibration which will degrade the bearing performance and requires to be studied urgently. In this paper, a dynamic model is developed to investigate this problem by coupling the bearing dynamic equation and the transient gas film Reynolds equation which is reduced by Galerkin weighted residual method and discretized through finite element method. The flexible sensor is creatively applied to measure the aerostatic force and gas film pressure distribution, which help verify the model correctness. The mechanism of pneumatic hammer is revealed by analyzing the molecular kinetic energy and the phase difference between variations of gas film thickness and aerostatic force. The characteristics of pneumatic hammer are analyzed under different structural parameters and supply pressures. The results indicate the pneumatic hammer vibration tends to happen when the mass and supply pressure are greater than the corresponding critical values.

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The authors declare that the manuscript has no associated data.

Abbreviations

\(\rho\) :

Gas density (kg/m3)

\(h\) :

Film thickness (m)

\(t\) :

Time (s)

\(v_{r}\) :

Radial velocity

\(v_{\theta }\) :

Circumferential velocity

\(p\) :

Pressure (Pa)

\(A_{b}\) :

Bearing area

\(h_{0}\) :

The reference value of film thickness

\(\tilde{v}\) :

Flow rate of gas flowing into orifice (m/s)

\(p_{a}\) :

Atmospheric pressure (Pa)

\(\rho_{a}\) :

Atmospheric density (kg/m3)

\(p_{dj}\) :

J-th orifice pressure

\(n\) :

Symmetric boundary normal

\(r_{0}\) :

The reference radius is r2

\(p_{0}\) :

Supply pressure (Pa)

\(M_{G}\) :

Mass

\(f\) :

Normalized pressure squared value

\(\eta\) :

Kinematic viscosity coefficient of gas

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Funding

This study was funded by National Natural Science Foundation of China (Grant No. U2141210), the Open Project Program of Tianjin Key Laboratory of Microgravity and Hypogravity Environment Simulation Technology (Grant No. WDZL202002), National Natural Science Foundation of China (Grant No. 52005126) and the Shenzhen Science and Technology Innovation Foundation (Grant No. JSGG20200701095002004).

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Authors and Affiliations

  1. School of Mechanical Engineering and Automation, Harbin Institute of Technology, Shenzhen, China

    Yukun Wu, Changlin Li & Jianjun Du

  2. Shenzhen Key Laboratory of Flexible Printed Electronics Technology, Shenzhen, 518055, China

    Yukun Wu, Changlin Li & Jianjun Du

  3. School of Astronautics, Harbin Institute of Technology, Harbin, 150000, China

    Tun Liu

  4. Tianjin Key Laboratory of Microgravity and Hypogravity Environment Simulation Technology, Tianjin, China

    Xiangyun Zuo

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  1. Yukun Wu
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Correspondence to Changlin Li or Jianjun Du.

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Wu, Y., Li, C., Du, J. et al. Pneumatic hammer characteristics of the aerostatic thrust bearing with central orifice and pressure-equalizing groove. Nonlinear Dyn 111, 2161–2182 (2023). https://doi.org/10.1007/s11071-022-07935-0

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  • DOI: https://doi.org/10.1007/s11071-022-07935-0

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