The invention relates to the area of mechanical design and to connections/joints between assembled mechanical components.
Many mechanical systems such as precision machine tools and instruments, robots, etc., comprise structural blocks attached to other structural blocks through surface contact connections. The connections can be permanent, such as a bolted connection between the headstock and the bed of a lathe. Another group is infrequently disconnectable systems, such as so-called “reconfigurable machining systems” composed of standard units assembled in various combinations for using in a production line for a certain product and reconfigured for fabrication of a new product. The third widely used type of connections is for connecting interchangeable tools, measuring heads, etc., in a precision location to permanent structural components, such as spindles of machining centers or turrets of lathes. In all these three cases, but especially in the second and third ones, high precision of the assembled systems is required, thus an adjustment of the final assembly is often desirable.
In the first case (permanent assembly) the connected parts are often fabricated for fitting the designated specific counterparts, and the connection may be finish-machined during the assembly process.
Such an expensive procedure cannot be accepted for assembly of a reconfigurable machining system. In this case, no finish machining can be tolerated during the assembly, since each unit has to be suitable for connecting with any other unit of the system, so that any “finishing” would damage the whole system. In such circumstance, an adjustability built into the system design would be very desirable. Unfortunately, no adjustable connections are available, and usually flat contact surfaces preloaded by bolts are used as connections. Their dimensions can be adjusted somewhat by changing the preloading force, but reduction of the preloading force results in a significant and often unacceptable reduction of stiffness of the connection, while increase of the preloading force results in undesirable reduction of damping.
Even more interchangeability is required for connecting tools and measuring heads with the base system in the third case. Both high accuracy and overall tightness for achieving high stiffness (“perfect fit” to realize a simultaneous contact both on tapered surfaces and on the face surfaces of the connection) are required. However, it would be prohibitively expensive to standardize extremely tight tolerances for tens of thousands spindles and turrets and for millions of toolholders, for them to be able to perfectly fit each other in random combinations. Thus, the adjustability or means for compensating dimensional variations are needed even more.
Sometimes in all these cases a specified stiffness of the connection is required. However, conventional surface contact connections are highly nonlinear and any change in preloading force changes the stiffness.
The need for compensation ability is the most clearly understood in application to the last case (tool interchange), and is realized by designing elastic deformations into the system, especially into toolholder/spindle interface system.
There are two basic systems for incorporating flexibilities into the toolholder/spindle interface system.
One technique is represented by tapered toolholders HSK (German DIN Standard) and KM (Kennametal Corp.), both described in Rivin E. I., “Tooling Structure: Interface between Cutting Edge and Machine Tool”, Annals of the CIRP, vol. 49/2/2000, pp. 591-634, wherein the tapered body to be fit into the reciprocating tapered hole in the spindle/turret is a high precision hollow structure slightly deforming when pulled in by the drawbar, thus realizing the “perfect fit” with the simultaneous taper/face contacts. Very shallow taper connections ({fraction (1/10)}) are used in these systems in order to increase the mechanical advantage and thus to facilitate the deformation of the rather rigid structures. Shortcomings of this technique are the costs of precision fabrication of a complex shape; a large variation (about 2:1 even for the standardized very high precision) of the degree of interference between the male and female tapers resulting in the reduced performance consistency; reduced effective stiffness of the clamped tools due to increased overhang caused by the hollow structure of the toolholder (e.g., see the above quoted article).
Another technique is represented by U.S. Pat. Nos. 5,322,304 (the Prior Art) and 5,595,391, both granted to the present inventor. FIGS. 1, 2, 3 from U.S. Pat. No. 5,322,304 show toolholder 60 to whose tapered surface precision balls 68 are attached by means of cage 66 as precision flexible elements. When the toolholder is inserted into tapered spindle hole 14 and pulled into it by the drawbar (not shown, is engaging with part 60b by threaded adapter 22), radial deformations of balls 68 allow for toolholder 60 to move inside spindle hole 14 as much as needed in order to achieve the simultaneous contact between the male and female tapered surfaces (via balls 68) and also between flange 60c of the toolholder and face 16 of the spindle. Since high precision balls of various diameters and materials are available off-the-shelf and are inexpensive, and since the required modification of the standard toolholders (reducing diameter of the tapered part to accommodate the balls) does not increase their design complexity and costs, this system works reasonably well. However, it is usually applied to the so-called “steep taper” (7/24 taper) standard toolholders whose multi-million inventory is widely used in manufacturing plants. These toolholders, as standardized, have rather loose tolerances and also are often used with reground spindles or turrets thus further increasing the scatter of the dimensions and, effectively, loosening the tolerances and expanding requirements to compensation of the axial distance between the spindle face and the toolholder flange. Considering these factors, the required axial dimensional compensation is up to 150-200 μm, requiring radial deformation up to 30 μm of the flexible elements attached to the toolholder. However, the safe allowable elastic deformation of precision steel and titanium balls of typical 5 mm diameter is only about 5-10 μm (0.1-0.2% relative compression).
Dynamic stability and other performance characteristics of modern high speed/high power/high accuracy machines are dependent on their structural stiffness but also on damping which is largely determined by the structural connections, e.g. see Rivin, E. I., “Stiffness and Damping in Mechanical Design”, Marcel Dekker, 1999. The techniques mentioned above for achieving the simultaneous taper and face contact between the toolholder and the spindle flange unfortunately do not increase damping in the connection. While both stiffness and damping are to a large extent controlled by connections/joints between the mechanical components, the stiffness is increasing with increasing contact pressures in the joints but damping is changing in the opposite direction, e.g., see the above quoted book. At low contact pressures ˜1 MPa (150 psi), damping in a flat joint is characterized by log decrement δ=˜0.075, but the stiffness of such joint is inadequate for many applications. Increase of the contact pressure to ˜3 MPa (450 psi) results in ˜1.5 times stiffness increase but damping falls to δ=0.03. In critical applications, expensive and often bulky special damping means are used, such as squeeze film dampers or dynamic vibration absorbers.
The instant invention provides means for solving the above-addressed problems and eliminating or alleviating the mentioned shortcomings of the conventional mechanical connections by inserting segments of precision tubular cylinders between the contact surfaces of the mechanical components being connected, thus resulting in high stiffness or in high stiffness/high damping combination in mechanical connections/joints while in the same time being robust and not significantly influencing costs and weight of the systems where the proposed technique is used.
A design technique for a connection between two conforming and pressed together surfaces is disclosed, in which intermediate tubular cylindrical segments of uniform cross sectional diameters and having initial line contact with at least one surface are inserted between the joined surfaces.
According to the invention, the connection is preloaded, thus causing radial elastic deformation of the cylindrical tubular segments.
Depending on the design needs, the stiffness of the connection can be adjusted by using cylinders with different diameters, with round or elliptical cross sectional shapes, with different ratios of the internal and external diameters (the limiting case being the internal diameter equal zero), and different materials.
The proposed technique allows to perform a fine adjustment of the linear and/or angular positioning of the connected components without stiffness change of the connection.
According to another feature of the invention, introduction of tubular cylindrical segments into the connection allows to compensate dimensional variation of the connected mechanical components and to resolve statically indeterminate situations.
According to a further feature of the invention, the cylindrical elements are made from a shape memory or a superelastic material, allowing to realize an extremely large range of fine adjustment, while exhibiting a very significant amount of damping.
The present invention can best be understood with reference to the following detailed description and drawings in which:
A conventional meaning of the term “cylinder” is a body symmetrical relative to its straight axis and having all identical round or elliptical cross sections in any plane perpendicular to the axis. In this Specification, the term “cylinder” or “cylindrical segment” extends to a geometrical body which can be described as an initially conventional cylinder whose axis is bent without a significant distortion of the cross sections. Thus, for the sake of this Specification a “cylinder” or a “cylindrical segment” is a body having a straight or a curvilinear axis whose cross sections by planes perpendicular to the axis are symmetrical relative to the center of the cross section (the trace of the axis on the cross sectional plane), are all identical, and whose periphery is round (circle) or an ellipse. The cross sections can be solid (a wire-like cylindrical body) or have a central hole (tube-like cylindrical body).
Placement of cylindrical segments 5 between conforming contact surfaces 2 and 4 results in confining contact areas only to contact strips (initially—line contacts) between cylinders 5 and contact surfaces 2 and 4, notwithstanding inevitable small deviations of contact surfaces 2 and 4 from ideal conformity. Due to much higher local stiffness of the direct contact between surfaces 2 and 4 in the conventional assemblies without intermediate inserts between the contact surfaces, these small deviations would result in a significant redistribution of the contact forces. Large allowable local elastic deformations of tubular cylinders 5, as shown below, provide for compensation of inevitable deviations of contact surfaces 2 and 4 from the ideal conformity. Another specific feature of this embodiment is constant stiffness of the connection regardless of the preload force, since the deformations of radially loaded cylinders, both solid and hollow, are of a linear character (deformation is approximately proportional to load) within its elastic region.
Another feature of the embodiment in
Operation of the concept illustrated by
σ=Eε,tm (1)
where σ=P/A=P/cd is compression stress, uniform across the cross section of the block by a horizontal plane, ε=Δ/H is relative compression deformation of the block, A=cd is loaded cross sectional area of the block, Δ is compression deformation of the block, and E is Young's modulus. The maximum elastic (reversible) relative compression deformation εmax occurs at the maximum elastic stress (yield strength) σy of the selected material. For example, for cold finished stainless steel 316, σy=310 MPa (45,000 psi), E=˜2×105 MPa (30×106 psi), and
εmax=σy/E=0.0015=0.15%. (2)
This value of εmax is similar to 0.1-0.2% elastic compression for balls used in the prior art design shown in
where σmax is the highest tensile/compression stress in the wall of the annular cross section caused by compression forces P, and D is the outer diameter of the cross section periphery. Thus, the maximum elastic radial compression of tube 61 is
or for the same steel as above and h=0.1R,
εmax=0.0078=0.78%, (5)
more than five times greater than for the solid block in
εmax=˜0.013=1.3%. (6)
For hollow cylinders with thicker walls, as well as for elliptical cross sections, expression (4) can still be used for qualitative comparisons.
Such large elastic range allows for a very large range of dimensional (translational and angular) adjustment of the connection in
So-called “superelastic” materials as well as shape memory materials, both exemplified by NiTi alloys, have elastic strain limit for tension εmax≦6-8%. However, testing of hollow (tubular) cylindrical specimens made from such materials under radial compression has shown εmax=18-20%. Hollow cylinders (tubing) made from superelastic and shape memory materials are readily available “off-the-shelf” at reasonable prices. Thus, the same elastic compression deformation as can be achieved with steel balls 5 mm diameter in prior art design in
Another advantage of the hollow and solid cylindrical elements, in addition to the greater elastic range, is a relative easiness to obtain consistently accurate dimensions (diameter D), even for the off-the-shelf wires and tubing. It was established that the diameter variation of both solid wires and tubing made from shape memory/superelastic alloys NiTi does not exceed 1-2 μm for a 250 mm long specimen.
The term “insignificant” twice used above is defined as being substantially less than allowable radial elastic deformation of the cylinders comprising each ring or cylindrical segment.
Rings 86 and 87 are shown as having different cross sections and wall thickness. They (and additional ring-shaped cylinders or other cylindrical segments) can also be made from different materials.
While the cross section shown in
In operation, first mechanical component (toolholder) 82 is inserted into tapered hole 83 of second mechanical component (spindle) 81 until at least one of ring-shaped cylindrical segments 86, 87 is in contact with both first and second mechanical components. The connection has to be dimensioned in such a way, that at this moment the distance e between contact face surface 88 of component 81 and contact surface 90 of flange 89 of component 82 does not exceed allowable elastic radial compression deformation (characterized by value of εmax) of the tubular ring in contact with both mechanical components, as modified by the wedge action of the taper connection. For example, for 7/24 taper connection, there should be
emax≦(24/3.5)Dεmax=6.85Dεmax. (7)
For example, for rings 86, 87 made from cylinders (wire or tubing) D=1 mm diameter, it can be computed from (7) that εmax=0.013 for steel tubing as in (6), and emax=0.019 mm=89 μm. For superelastic tubing D=1 mm, εmax=˜0.18, and emax=1.23 mm=1,230 μm. If the initial distance e between contact surfaces 88 and 90 does not exceed these values of emax, pulling (with force P) of component 82 by drawbar 91, engaged by gripper 92 with retention knob 93 of component 82, would result in simultaneous taper/face contact between components 81 and 82 without exceeding maximum allowable radial elastic compression deformation of ring-shaped cylindrical segments 86, 87. Thus, the dimensional scatter of the initial axial clearance e between components 81 and 82 is compensated by application of the proposed concept. For the specific example in the “Background of the Invention” above for toolholder/spindle connection with a possibility of regrinds of the tapered hole of the spindle, variation of e does not exceed 200 μm. Thus, use of 1 mm diameter superelastic tubing for rings 86, 87 would satisfy the requirements with a substantial margin of safety, while diameter of steel tubing for the same purpose should be about 2.5 mm.
A continuing pull of toolholder 111 into hole 114 is accompanied by radial deformation of the cylindrical segments constituting ring 116 until the opposite end of toolholder 111 (front end or left side in
The embodiment in
In the embodiment of
The embodiment of the present invention shown in
In operation, first mechanical component 112 is inserted into tapered hole 113 of second mechanical component 111 until at least one of rings 116, 117 is in contact with both first and second mechanical components and then the pulling force P is applied. The connection has to be dimensioned in such a way, that at the nominal (rated) magnitude Pr of this force, both cylindrical rings 116 and 117 and cylindrical tubular segments 121 between contact face surface 118 of component 111 and contact surface 120 of flange 119 of component 112 are deformed. Since there is no direct contact between the connected mechanical components, and all contacts are via tubular cylindrical elements 116, 117, and 121, the external forces, such as cutting force F, cause deformations of all these tubular segments and all these deformations contribute to damping of the system if the tubular elements are characterized by significant material damping. The required stiffness values of the connection in various directions can be adjusted by selecting dimensions of the tubular segments and their materials.
It is readily apparent that the embodiments of the mechanical connection disclosed herein may take a variety of configurations. Thus, the embodiments and exemplifications shown and described herein are meant for illustrative purposes only and are not intended to limit the scope of the present invention, the true scope of which is limited solely by the claims appended thereto.
This is a Continuation-in-Part of application Ser. No. 10/144,060 partially allowed as U.S. Pat. No. 6,779,955 to be issued on Aug. 24, 2004. Priority for this application is requested to be May 31, 2001 per Provisional Patent Applications 60/308,951 and 60/294,700
Number | Date | Country | |
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60308951 | May 2001 | US | |
60294700 | May 2001 | US |
Number | Date | Country | |
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Parent | 10144060 | May 2002 | US |
Child | 10916883 | Aug 2004 | US |