Hydrostatic equilibrium

About: Hydrostatic equilibrium is a research topic. Over the lifetime, 2451 publications have been published within this topic receiving 62172 citations.

Hydrostatic semi-spherical bearing shafting and precision machine tool

Abstract: The invention relates to a hydrostatic semi-spherical bearing shafting and a precision machine tool. The hydrostatic semi-spherical bearing shafting comprises at least one hydrostatic semi-spherical bearing and a rotating shaft; the hydrostatic semi-spherical bearing is provided with a supporting seat, an accommodating assembly and a rotating piece; the accommodating assembly comprises an accommodating piece and a plurality of hydrostatic bushings; the accommodating piece is provided with a plurality of hydrostatic channels through which fluid passes; the hydrostatic bushings are arranged at openings of first concave cavities; the openings of the hydrostatic concave cavities face a concave semi-spherical surface; the hydrostatic bushings are arranged on the concave semi-spherical surface along at least one arrangement plane which is a plane perpendicular to the rotation axis of the rotating piece; and the supporting seat is provided with a supporting seat inner cavity matched with theouter surface of the accommodating piece. According to the involved hydrostatic semi-spherical bearing shafting, a convex sphere does not make contact with a concave sphere when rotating, and comparedwith a hydrostatic cone bearing, the hydrostatic semi-spherical bearing has a better concentric matching degree, so that the dynamic rotating precision of the rotating shaft on a rotating pair can beimproved by adopting a gas or liquid hydrostatic technology.

Nonlinear behavior analysis of a flexible shaft supported by hydrostatic squeeze film dampers

Abstract: A non linear model of a hydrostatic squeeze film damper is developed and numerically simulated by a step by step method on a modal basis, in order to study the non-linear dynamic behaviour of a flexible shaft supported by hydrostatic squeeze film dampers. The Reynolds equation is solved at each step in order to evaluate the film forces. The equations of motion are then integrated by using the Newmark method with a variable step in order to obtain speeds and the position for the next step. The non-linear hydrostatic forces are determined by the application of the boundary conditions, and the integration of the pressure field is determined by resolution of Reynolds equation, by applying the central finite difference method. The aim of this research is to study the effect of pressure ratio, viscosity, and rotational speeds on the vibratory response and the transmitted bearing forces. The results are discussed, analysed and compared to a linear approach which is restricted to only small vibrations around the equilibrium position. The results show good agreement between linear and non-linear methods when the unbalance force is small. However, the results show the necessity to use the non linear approach when the excitation forces increase.