Numerical Investigation of Bearing Characteristics of a Hydrostatic Thrust Bearing with a Flow-Control Restrictor Using a Bending Beam

Kei Somaya, Takao Okabe
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Abstract

In general, high-precision machines, such as machine tools and measuring equipment, have employed moving tables with hydrostatic bearings. Hydrostatic bearings for these high-precision applications require high bearing stiffness and response speed. Various flow-control restrictors inserted in oil passages were proposed to improve bearing characteristics. However, the active control of conventional flow-control restrictors has some shortcomings because most flow-control restrictors employ voice coil motors (VCMs), which generally consume a large amount of electricity and raise the oil temperature. The increased oil temperature decreases the oil viscosity, which reduces bearing stiffness and damping. Although piezo actuators can solve the above problems and are suitable candidate alternatives to VCMs, their small range of travel has prevented their use in flow-control restrictors. In this paper, a novel flow-control restrictor using a bending beam in stroke expansion is proposed for the purpose of employing piezo actuators. In addition, the bearing characteristics of the hydrostatic bearing with the proposed flow-control restrictor were investigated numerically. In this investigation, the Rayleigh-Ritz method for solving the deformation equations of the bending beam and the divergence formulation method to obtain the pressure distribution in the hydrostatic bearing were adopted in the numerical calculations. The results showed that the hydrostatic thrust bearing with the proposed restrictor has higher stiffness compared with conventional hydrostatic bearings using a capillary restrictor.
利用弯曲梁对带流量控制限制器的静压推力轴承的轴承特性进行数值研究
一般来说,机床和测量设备等高精度机器都采用带静液压轴承的移动工作台。用于这些高精度应用的静压轴承需要较高的轴承刚度和响应速度。为了改善轴承特性,人们提出了在油道中插入各种流量控制限制器的方法。然而,传统流量控制限流器的主动控制存在一些缺陷,因为大多数流量控制限流器都采用音圈电机(VCM),这种电机通常会消耗大量电能并使油温升高。油温升高会降低油的粘度,从而降低轴承的刚度和阻尼。虽然压电执行器可以解决上述问题,是 VCM 的合适候选替代品,但其行程范围较小,因此无法用于流量控制限流器。本文提出了一种新型流量控制限制器,在行程扩展中使用弯曲梁,以达到采用压电执行器的目的。此外,还对采用所提议的流量控制限制器的静压轴承的轴承特性进行了数值研究。在这项研究中,数值计算采用了雷利-里兹法(Rayleigh-Ritz method)求解弯曲梁的变形方程,以及发散公式法(Divergence formulation method)获取静压轴承中的压力分布。结果表明,与使用毛细管限流器的传统静压轴承相比,使用拟议限流器的静压推力轴承具有更高的刚度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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