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In addition, some other applications closely related to precision and ultra-precision machines include hydrostatic spindles and hydrostatic linear bearings The hydrostatic spindle shown in Figure 652 incorporates the advantages of hydrostatic bearings and can be applied in various processes such as power milling and switch injection moulding In linear bearing applications, Aesop, Inc and the Fig 652: Water action in a hydrostatic spindle [22] Massachusetts Institute of Technology developed HydroMax TM (Figure 653) that consists of a modular carriage which rides on a thin fluid layer present between the scientifically contoured bearing surfaces of the carriage and the rail The performance is significantly superior when compared to the standard rolling element linear guides Hydrostatic principles are extensively applied in the research and development of new Fig 653: The HydroMaxTM hydrostatic linear bearing [23] applications A few of these applications are explained next
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647 Mathematical Approximation of Hydrostatic Bearings
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Figure 655 describes the operation principle and mathematical approximation of hydrostatic bearings The illustration in Figure 655 shows the load and pressure characteristics in a relatively simplified analysis based on a one-dimensional flow A better approximation can be seen in later stages Figure 655 shows two surface separated by a small clearance, h Fluid is admitted into the bearing by a restricting device that reduces the pressure Downstream of the restrictor, the fluid flows through the bearing clearance (across the lands), dropping to atmospheric pressure Changes in clearance modify the restriction over the lands, which affect the pressure in the bearing recess This alters the load-carrying capacity A reduction in clearance increases the pressure in the recess, and this increases the load-carrying capacity An increase in clearance reduces the load capacity An optimum condition exists at which the fluid film stiffness is maximum Figure 656 basically shows the differences in characteristics between hydrostatic and hydrodynamic journal bearings The load capacity of the hydrostatic bearing is dependent on the
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Rolling Element, Hydrodynamic and Hydrostatic Bearings
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University of Tokyo A 6 DoF shake table built with long stroke electrodynamic shakers This system consists of eight electrodynamic shakers driving a single table It is capable of 8 in of total displacement in all three axes and +/ 15 of pitch roll and yaw HydraBalls on each end of mechanical struts deliver shaker force to the table with zero backlash
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Phalanx System Built for General Electric, Pittsfield, MA this 4 DoF system was designed for multi-axis vibration screening of General Electric s 18,000 lbs Phalanx Weapons System Capable of 66,000 lbs force vertically and 46,800 horizontally, the system had an upgrade path to a full 6 DoF Dual pivot Hydrostatic Spherical Couplings between each actuator and the specimen mounting table accommodate rotations and off-axis load paths
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CES/CESTA Built in 1973 for the French nuclear regulatory agency this 3 DoF system had a vertical force capability of 30,000 lbs, a horizontal force capability of 11,000 lbs in one axis and 18,000 lbs in the other Hydrostatic Couplings can be seen attached to the right hand actuator in a pair to prevent rotation around the vertical axis
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Schlumberger A dual Hydrashaker system providing 2 DoF used to test oil well down-hole electronic logging/drilling tools The double pivot Hydrostatic Spherical Couplings allow for angular misalignment while providing a backlash free, direct load path between the Hydrashakers and the shake table
Geotechnical Centrifuge Shaker An ultra compact, high frequency Hydrashaker used to perform soils testing on a centrifuge in a high gravity field Patented design using Pad Bearings permits biaxial table performance
University of California UC Irvine Typical earthquake spectra have large displacements, relatively high velocities and massive test specimens This requires the generation of high forces and creates large inertial moments that must be reacted by the table mechanism without introducing distortion into test results Hydrostatic bearings, both spherical and linear, are mounted at the end of large actuators to accept these loads
NSWC Dalgren A large shaker system for testing missiles to Naval transportation standards There are two identical systems which can be repositioned on air bearings Used in tandem with the payload bridging both shakers, they can shake a missile up to 32 foot in length, along with its canister, one axis at a time Hydrostatic Couplings eliminate bending moments generated by the payload s overturning moment from reaching the Hydrashakers
Fig 654: Research and development of hydrostatic principles for multiple DoF (Degrees of Freedom) Systems
using linear, spherical, and angular bearings [24]
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