This invention relates generally to free-piston Stirling machines and more particularly relates to non-contact bearing support systems that support their power piston and/or displacer piston and their respective connecting rods attached to them. The invention improves the life, reliability and cost of free-piston machinery by providing a simple and reliable means to implement non-contact bearings in a manner that reduces the difficulty of aligning the bearings or allows more accurate alignment or both.
Although free-piston Stirling cycle machines have been shown in the prior art in a very extensive variety of configurations, most have a displacer piston and a power piston that reciprocate in the same cylinder or in different cylinders. An end of the power piston and often an end of the displacer piston is ordinarily rigidly fixed to a connecting rod that reciprocates with the piston. These components together as a unit are supported within a casing of the Stirling machine. The casing contains a working gas that alternately expands and compresses as the working gas is shuttled between an expansion space and a compression space.
Stirling machines are designed to provide either: (1) an engine having a power piston and displacer piston driven by applying an external source of heat energy to the expansion space and transferring heat away from the compression space and therefore capable of being a prime mover for a mechanical load, or (2) a heat pump having the power piston (and sometimes the displacer piston) cyclically driven by a prime mover for pumping heat from the expansion space to the compression space and therefore capable of pumping heat energy from a cooler mass to a warmer mass. The heat pump mode permits Stirling machines to be used for cooling an object in thermal connection to its expansion space, including to cryogenic temperatures, or heating an object, such as a home heating heat exchanger, in thermal connection to its compression space. Therefore, the term Stirling “machine” is used to generically include both Stirling engines and Stirling heat pumps, the latter sometimes being referred to as coolers. Both Stirling engines and Stirling heat pumps, like electromagnetic motors and generators or alternators, are both basically the same power transducer structures capable of transducing power in either direction between two types of power.
In order to minimize the frictional wear of the reciprocating components of a free-piston machine, it is desirable to avoid contact between the reciprocating bodies and their cylinders or other supports within the casing. Conventional lubricants cannot be used for this purpose because they substantially degrade the properties of the working gas and result in a substantial decrease in the efficiency of the free-piston Stirling machine. For these reasons, free-piston Stirling cycle machines commonly use gas bearings and also radially acting spring bearings, such as planar springs. Although both kinds of bearings are known in the art, some explanation of gas bearings and radially acting spring bearings is desirable because some aspects of their operation are relevant to the invention.
A bearing is a device that supports, guides, and reduces the friction of motion between at least two parts that move with respect to each other. A bearing supports the two parts in a relative position or orientation with respect to each other but permits one part to move with respect to the second part in one or more directions of motion. It is often desirable to minimize the friction between the parts and minimize the force applied by one part to the other in the permitted directions of motion. A “non-contact bearing” supports the parts in a manner that the parts themselves that are moving relative to each other do not come into contact. The bearing itself, such as a planar spring bearing, may contact both parts, but it does not rub or slide against either part.
A gas bearing is one type of non-contact bearing that is often used on free-piston Stirling machines to maintain the separation of a piston in a cylinder or a connecting rod in a cylindrical bore. The gas bearing uses a gas, typically the working gas, that is pumped between relatively moving surfaces and functions as a lubricant to maintain separation of the relatively moving surfaces. Gas bearing systems have a fluid flow loop in which working gas is pumped out of ports in the piston or cylinder into the clearance gap between the piston and cylinder. To construct an effective gas bearing, the clearance fit between the two moving surfaces must be a close fitting clearance and the distance range of that clearance for a gas bearing in a Stirling machine is known to those skilled in the art. There must be at least three such ports spaced around the cylindrical periphery, preferably equi-angularly (every)120°, so that there will be radially inwardly directed centering forces applied toward centering the piston regardless of the radial direction in which the piston may become off center. Because gas bearings require close fitting clearances, if a cylindrical surface of one body has a close fit clearance with a cylindrical surface of another body because there is a gas bearing between them, the axes of the two cylindrical surfaces must be aligned to avoid contact.
A close fit clearance between a cylindrical surface of one body with a cylindrical surface of another body can also provide a “clearance seal”. It is commonly desirable to provide a seal between two parts, such as a piston and the associated cylinder in which it reciprocates. The seal is intended to prevent or minimize the flow of a fluid between the piston and cylinder from one end of the piston to the other. However, it is desirable to simultaneously prevent contact between the piston and its cylinder in order to prevent wear and therefore gas bearings are used. Although not perfect, the clearance between the piston and its cylinder can be made sufficiently small to provide both reasonably effective sealing as well as a non-contact bearing. Such a seal using a small clearance fit is a clearance seal. The “seal length” of a clearance seal may be defined as the effective length in the axial direction of the portion of the piston's cylindrical periphery that is formed as the clearance seal; that is, the close fit clearance portion. Most commonly, that is the entire length of the piston. However, if the piston at times is displaced along the cylinder to a position where it protrudes from the cylinder, then the effective seal length of the clearance seal is shortened slightly and more particularly is the time averaged length of the clearance seal interface between the piston and its associated cylinder. The “axial center” of the clearance seal may be defined as the center, along the axial direction, midway between the axially opposite ends of the clearance seal. That midway position is the axial center and can be used to define the position of the clearance seal.
A radially acting spring bearing is another type of non-contact bearing that has been used on free-piston Stirling machines. Although the term “radially acting spring bearing” is not commonly used, it has been adopted because it is believed to best describe one of the bearings that is used in embodiments of the invention. A “radially acting spring bearing” is a spring that is connected to each of the two bodies that are to be supported in a non-contact relationship with one body moving with respect to the other. This bearing applies its spring force in a radial direction opposite its radial direction of deflection from its central axis when it is deflected away from its relaxed condition at the central axis. Its spring force in a radial direction is 0 for no deflection from its axis which means that it introduces no side loading. It can additionally apply a spring force in an axial direction so that it has two components of spring force, axial and radial. So a radially acting spring bearing is a spring that has a component of force in the radial direction, applies no radial force when centered and its force in the axial direction can be 0 or finite. For the invention, it should apply no significant net side forces as it is deflected.
An example of a commonly used radially acting spring bearing that is known in the prior art is a planar spring. A planar spring typically has arms extending from a central hub to an outer rim along a spiral-like or involute-like path. The arms, hub and rim are usually in a plane in their relaxed state. Typically the arms have a width in the plane considerably greater than their thickness perpendicular to the plane. Planar springs used as bearings are very stiff for deflection in the radial direction, but also apply a spring force, with far less stiffness, when deflected in the axial direction.
A common coil spring, in which a wire is wound as a helix, cannot be used as a radially acting spring bearing if oriented in an axial direction because it applies significant side forces when deflected axially. However, it would be possible to use several radially oriented coil springs arranged along radials of an axis of reciprocation as a radially acting spring bearing. Also usable is a spiral or involute spring, similar to a planar spring and typically constructed of spring wire wound in a plane along a spiral-like pattern, with connections to the other machine components at the innermost, centrally located end of the wire and at the outermost peripheral part of the wire. A conical coil spring might also be used but risks the introduction of side loads like the coil spring.
Great effort has been expended in the prior art in order to avoid oil-type lubricants to prevent wear of the internal components of Stirling cycle engines and coolers while avoiding contamination of the working gas. The free-piston configuration greatly reduces side loads because the free-piston configuration does not use a motion translating mechanism that introduces side loads, such as a connecting rod connected to a crankshaft. However, it is still necessary to provide bearing support for a reciprocating part in order to avoid excessive wear. Two techniques in the prior art have found common application to solve the problem of supporting a free piston that has a close fit clearance in a manner that avoids contact between the close fit surfaces and yet allows reciprocation of the piston.
The first technique, referred to as flexural bearing support (e.g. U.S. Pat. No. 5,920,133, Penswick et al and U.S. Pat. No. 5,522,214, Beckett et al), is to support the moving components entirely on planar springs so that there is no contact between the cylinder and the moving component (power piston or displacer piston). This bearing support system is shown in
The problem with the prior art of
The difficulty of this problem of alignment is illustrated in
As seen in
Referring again to
For the displacer piston 62 and its connecting rod 72, there are five points that must be aligned and they are illustrated by the large black dots, not including point 75. There are two points for the gas bearing at the close fit clearance 66, for the reasons explained above, two points for the gas bearing at the close fit clearance 74 and one point for the planar spring bearing 60. For the piston 68 there are five points that must be aligned not including point 77, two for the gas bearing at the close fit clearance 74, two for the gas bearing at the close fit clearance 70 and one point for the planar spring bearing 60.
In order to alleviate the problem of aligning five points, the prior art discloses an implementation of gas bearings with compliance built into the connecting rod as illustrated in
As in
The chief difficulty of this arrangement is that in order to obtain satisfactory stiffness on the displacer rod gas bearing, a very close fit of less than 25 μm diametrical clearance is required with the bore in the piston. In some cases, particularly smaller machines where the rod may be only around 3 to 5 mm in diameter, the clearance may be as small as 8 to 15 μm. This places a requirement of precision that cascades through the structure resulting in further precision requirements of concentricity, straightness and perpendicularity.
The flexural system of
The above description demonstrates that the bearing systems that have been shown in the prior art require a high degree of precision in the machining of parts and a high degree of precision in the alignment of parts or are limited by very feeble support of gas bearings on small diameters. The purpose of the invention is to reduce the degree of precision required for alignment while maintaining the other favorable characteristics of non-contact bearings.
An ideal bearing system for piston-cylinder assemblies, particularly for use in free-piston machinery, would have the following attributes in addition to non-contact operation:
The proposed invention has these advantages over current systems.
Most simply stated, the invention is a bearing support system for a piston and its connecting rod in which the bearing system supports the combined piston and connecting rod by only two bearings, a gas bearing at the piston (or displacer) and a radially acting spring bearing at its connecting rod, preferably with a spacing between them within described limits and preferably with a spacing that exceeds a calculated value based upon chosen engineering parameters.
In more detail, a non-compliant connecting rod is fixed to an end of a piston which has a clearance seal length in the range of 0.3 times the diameter of the piston and 1.5 times the diameter of the piston. The piston and the connecting rod together are supported in a casing by two bearings. One of the two bearings is a gas bearing formed at the interface between the selected piston and its associated cylinder. The second bearing is a radially acting spring bearing fixed to the casing and extending to fixed connection to the connecting rod. The distance from the gas bearing to the connection of the radially acting spring bearing to the connecting rod is greater than the seal length of the piston. The piston and connecting rod unit is not supported by additional bearings that introduce additional alignment problems.
In describing the preferred embodiment of the invention which is illustrated in the drawings, specific terminology will be resorted to for the sake of clarity. However, it is not intended that the invention be limited to the specific term so selected and it is to be understood that each specific term includes all technical equivalents which operate in a similar manner to accomplish a similar purpose. For example, the terms connected, fixed to or other terms similar thereto are used. They are not limited to direct connection, but include connection through other elements where such connection is recognized as being equivalent by those skilled in the art.
The power piston 102 has a seal length in the range of 0.3 times the diameter of the piston to 1.5 times the diameter of the piston. A tubular, non-compliant connecting rod 110 is fixed to an end of the power piston 102. The meaning of “non-compliant connecting rod” may be explained as follows. The term “compliance” identifies the characteristic of a body, such as a connecting rod, to flex or bend when acted upon by a sideward force, without exceeding its elastic limit, without introducing excessive side forces, and without failing from fatigue over its expected useful life. As described above, the machine of
A linear alternator/motor 112 is supported in the casing 100. The reciprocating magnets 114 of the linear alternator/motor 112 are mounted to the connecting rod 110 by means of the radially extending magnet support 116. The linear alternator/motor 112 provides electrical output when driven by the Stirling machine operated as a Stirling engine or provides a mechanically reciprocating prime mover when the Stirling machine is operated as a cooler or heat pump.
The piston 102 and its connecting rod 110 together as a rigidly connected unit are supported in the casing 100 by two and only two bearings. The piston 102 is supported by gas bearings at the annular close fit clearance G in order to maintain a non-contact, close-fit with cylinder 106 and provide a clearance seal. The second bearing is a radially acting spring bearing 118 fixed to the casing 100 and extending to fixed connection to the connecting rod 110. The radially acting spring bearing 118 constrains the second support point 120 to the axis 122 of the machine. The axial distance L from the gas bearing at G to the place where the radially acting spring bearing 118 is connected to the connecting rod is greater than the seal length S of the piston 102. The radially acting spring bearing 118 may also serve as a spring with a spring force acting in the longitudinal, axial direction to provide the necessary resonance for reciprocation and/or the longitudinal centering force.
By arranging the distance L between the piston 102 gas bearing support points (at arrows 124) and the radially acting spring bearing 118 support points (at arrows 126) so that the distance L is a multiple of the piston seal length S, a degree of rotation (in the axial plane of the figure) of the piston 102 with its connecting rod may be tolerated at the radially acting spring bearing 118 support points thus greatly reducing the locating precision required of the radially acting spring bearing 118. Similarly, the displacer piston 104 is supported at a first support point by a gas bearing (at arrows 128). The displacer connecting rod 108 is supported by a radially acting spring bearing 130 at a second support point (at arrows 132) to constrain the second support point to the axis 122 of the machine. By arranging the distance between the displacer gas bearing support point (center of the gas bearing) so that the axial distance between the two support points for the two bearings is a multiple of the displacer seal length, a degree of rotation (in the plane) of the displacer may be tolerated thus reducing the locating precision required of radially acting spring bearing 130. The displacer rod clearance E can be set large enough so that no contact occurs between the displacer rod 108 and the piston 102 without being so large that leakage losses become too great. An alternative for the displacer rod seal E is to employ an abradable surface so that wear-in will occur until the components are self-supporting at which time, wear ceases.
By arranging the distance between the two support points of the combination of a piston and its connecting rod together, so that it is a multiple of the piston seal length, a degree of rotation (in a plane containing the axis) of the piston may be tolerated thus greatly reducing the radial locating precision required of each radially acting spring bearing. Similarly, the displacer 160 is supported by a gas bearing at 164 in order to maintain non-contact, close-fit within its cylinder assembly 166 and by a radially acting spring bearing 168 that is connected to the displacer connecting rod 162 to constrain the second support point to the axis 170 of the displacer cylinder 166. The clearance K between the larger diameter portion of the displacer connecting rod 162 and its surrounding cylinder 172 is made large enough so that they do not contact without being so large that leakage losses become too great. An alternative for the displacer rod clearance seal K is to employ an abradable surface so that wear-in will occur until the components are self-supporting at which time, wear ceases. The linear alternator/motor 174 and its counter part 176 provide electrical output or mechanical input depending on whether the Stirling machine is an engine or a heat pump.
In all these embodiments of the invention, gas bearings are located at the clearance fit between a piston and its cylinder to provide one support point and a radially acting spring bearing is located along the piston's connecting rod at a distance L from the gas bearings. Although the invention is directed to two bearing supports, one a gas bearing and the other a radially acting spring bearing, bearings can be constructed as a composite of multiple components and still effectively function as a single bearing. For example, radially acting spring bearings, can, and often are, constructed as a composite of multiple, parallel, individual spring bearings placed axially adjacent each other to function as a single composite bearing. For example,
The geometric parameters of the invention are used in the following mathematical explanation of desired parameter relationships of preferred embodiments of the invention.
For a small diametrical gap g compared to diameter D and seal length S, the maximum rotation of the piston 180 until contact with the cylinder 184, given by angle α, is to a good approximation:
The allowable, off-center, radial displacement is A in
where L is the distance between the bearing supports.
For example, if the piston diametrical clearance gap (g) is 35 μm, the seal length (S) 20 mm, the diameter (D) 50 mm and the distance between the bearing supports (L) 150 mm, then EQ. 2 gives A=0.2637 mm, more than seven times larger than the clearance g. Therefore, the tolerance to which the position of the radially acting spring bearing support must be adjusted is 7 times greater than the clearance g.
For seals that have low leakage losses and therefore provide acceptable performance as a gas bearing and/or a clearance seal, the quantity 4 Dg/S2 is small and this allows the following approximate relationship for the displacement A.
Therefore, the preferred distance between the bearing support points should be:
Using the example case and (EQ.3), the displacement A=0.2625 mm, which is quite close to the more exact solution. If A is set at some minimum reasonable value, say 0.1 mm, which is considerably greater than the typical diametrical clearance gap, then (EQ. 3) may be used to formulate a requirement for the distance between the bearing supports for practical embodiments of the invention. The result is:
Where L is in mm and the seal length S and the diameter D of the piston are of similar size. For the purposes of this invention, similar size means that the seal length should be no more than 1.5 times the diameter and no less than 0.3 times the diameter. For typical implementations of the invention, the typical diametrical clearance gap will be in the range of 12 μm to 50 μm.
By arranging bearing supports of the power piston and/or the displacer piston according to the invention, the precision required at attachment to the radially acting spring bearing is greatly reduced. Furthermore, by locating a single gas bearing set at the displacer piston and/or power piston interface with its cylinder, both the precision clearance requirement of the gas bearing and the performance of the machine are met. The invention allows the displacer piston and/or power piston to be made shorter since the working fluid leakage is dominated by the clearance (proportional to the cube of the gap) and only weakly dependent on the length (proportional to the inverse of the length). By shortening the displacer piston and/or power piston seal length compared to the distance between the bearing supports, more angular misalignment may be tolerated. This allows the second support by the radially acting spring bearing to be much more forgiving.
The invention supports a piston-cylinder assembly by means of a gas bearing in the close-fit region while at the other end, some distance from the close-fit, by a radially acting spring bearing support which offers substantial advantages. In this way, the gas bearing provides the non-contact clearance where it is vital and the non-contact radially acting spring bearing provides support where precision is more relaxed. The further the radially acting spring bearing support is from the close-fit region, the less precision required of it. If sufficient precision can be removed from the radially acting spring bearing, then inexpensive fabrication techniques may be employed, such as stamping. By using this technique in a beta configuration free-piston Stirling machine as shown in
The invention eliminates the need for precision alignment of four points by requiring the alignment of only three points and reduces the degree of precision that is required. As previously explained, the alignment of a piston in a cylinder requires the alignment of two points. One point is the point of intersection of the central axis of the piston with one end of the piston and the second point is the point of intersection of the central axis of the piston with the opposite end of the piston. When the piston is aligned in the cylinder during reciprocation so that both of those two points lie along a line that is parallel to the axis of the cylinder, then the piston is perfectly aligned in the cylinder.
If, in addition to the piston, there is an cylindrical object, such as a connecting rod, that is rigidly connected to the piston and reciprocates within a cylindrical surface, then there are two more points which must be aligned with the first two. If gas bearings and clearance seals are used for both, then both of these two additional points must be aligned with precision with the first two points. Similarly, if, in addition to the piston, there are two additional radially acting spring bearings, then the two additional points for both of these two spring bearings must be radially adjusted. In other words, with a piston and two additional bearings, there are four points that must me brought into alignment.
When there are two additional bearing points to be adjusted, adjusting the alignment of one of the additional points, changes the alignment of the other additional point. So it is difficult at best or impossible to bring all four of the points into simultaneous alignment. Additionally, manufacturing imperfections in alignment (i.e. departures from nominal alignment position and/or orientation) can make it impossible to properly align all four of the points because adjusting the alignment of one additional point to accommodate its alignment imperfection, changes the alignment of the other additional points. Many prior art free piston machines have this problem.
However, with the invention there is only one additional point for a total of only three points to be brought into alignment. Only one requires adjustment. The third alignment point is the connection of the one radially acting spring bearing to the connecting rod. That adjustment is the spacing, in the plane perpendicular to the axis of the cylinder, of the point where the radial spring forces act upon the axis of the piston.
With the invention, the distance from the gas bearing to the radially acting spring bearing is made large enough to tolerate a greater distance of misalignment than in the prior art. In other words, the tolerance for misalignment is greater, making adequate alignment easier and less precise. This allows adequate alignment to be accomplished with parts that are manufactured to greater tolerances, i.e. more imprecision can be tolerated so the parts are less expensive. Increased tolerance (less precision) is acceptable for the radially acting spring and the parts to which it is connected. Importantly, there is only one component, the one radially acting spring bearing, that must be adjusted in order to accomplish non-contact bearing operation of the piston or displacer in the cylinder.
In order to use the invention, the designer can typically begin by determining the clearance g and the clearance seal length S required for the gas bearing clearance seal. These are based upon the usual design parameters, such as power and efficiency. Then, having determined the piston or displacer size and its clearances, the designer determines a desirable tolerance (A or less) for the radial adjustment of the radially acting spring bearing. Finally, the designer determines the distance from the gas bearing to the radially acting spring bearing using (EQ. 3A). Of course a designer may select a different set of the parameters of the design equations and solve for another.
After construction, adjustment begins with positioning the parts and tightening the parts in place in their free position, which is the position they should be in during operation. With the invention, the only adjustment of the bearings is the radial adjustment of the one radially acting spring bearing for each combination piston and its connecting rod. It is adjusted so that the off-center distance is less than or equal to the allowable off-center distance A. This assures that the angle between the axis of the cylinder and the axis of the piston-connecting rod together is less than the angle α which is the maximum angle between those axes without contact of the piston with the wall of its cylinder.
This detailed description in connection with the drawings is intended principally as a description of the presently preferred embodiments of the invention, and is not intended to represent the only form in which the present invention may be constructed or utilized. The description sets forth the designs, functions, means, and methods of implementing the invention in connection with the illustrated embodiments. It is to be understood, however, that the same or equivalent functions and features may be accomplished by different embodiments that are also intended to be encompassed within the spirit and scope of the invention and that various modifications may be adopted without departing from the invention or scope of the following claims.
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