Field of the Invention
[0001] This invention relates to ultracentrifuge rotors, for use in ultra high speed centrifuges,
and in particular to a hybrid material rotor, having a central core of one material
surrounded by a ring of another material.
Background of the Invention
[0002] Ultracentrifuge rotors encounter extreme stress as increasingly higher speeds are
necessary for the application of such rotors for new and increasingly complicated
scientific experimentation. High capacity and speed rotors are generally larger fixed
angle and vertical tube rotors having high kinetic energies. High stresses are created
in these high speed, high energy rotors, which makes material selection the primary
design criteria. For this reason, titanium is the isotropic material most often chosen
for high speed, large volume rotor design.
[0003] Conventional high kinetic energy rotors, capable of high speed operation, are typically
manufactured of titanium, an isotropic material with a density of approximately .16
lb/in³. Titanium is a stiff metal which is difficult to machine, due to its density,
and very expensive. Additionally, since increasing speeds require increasing strength,
the kinetic energy that a titanium rotor would endure will increase proportional to
its density and the square of rotational speed that the rotor is driven; the strength
of metal material cannot be significantly improved by increasing the rotor size, diameter,
or thickness.
[0004] Heretofore, centrifuge rotors have been made, for low speed application, from laminated
fiber resin material shells as a means of reliance upon other than an all-metal design.
U.S. Patent 3,993,243 to Dietzel is an example of a centrifuge drum shell made from
a laminated material of fibers and resins, having a metal bottom and top forming circular
metal plates. The metal plates have flanges that secure the plates to the centrifuge
drum shell by means of fastening screws. The drum shell is cross-sectionally configured
in numerous layers (See Fig. 2 of the '243 patent) including axially extending wires
114 and the use of a wide mesh backing strainer 16. This design, which includes fasteners,
is suitable for lower speed applications, but would not sustain the stress induced
by ultra high speeds.
[0005] Likewise, layered material rotors made from steel covered resin plastic materials
are taught by U.S. Patent 3,997,106 to Baram. Alternate embodiments in Figs. 3 and
4 of the '106 patent teach the use of piano wire 24 to surround a perforated steel
belt covering an inner body made from molded plastic resin material. This design may
be useful in centrifuge rotors used by low speed liquid separators, but would not
withstand the stress of high drive speeds.
[0006] U.S. Patent 4,160,521 to Lindgren teaches the manufacture of a fibre-reinforced rotor
for use in centrifugal separators, impellers, generators, and flywheels. The rotor
body shell is composed of an outer layer made from a fiber wound filament which is
wound about an intermediate sleeve made of a plastic resin or aluminum. The outer
layer forms a fiber-laminate sleeve member which prestresses the internal intermediate
sleeve. The outer layer is affixed to the inner intermediate sleeve by a pressing-on
wind of the outer layer to the inner sleeve. This pressing-on wind prestresses the
inner sleeve which decreases the diameter of the inner sleeve slightly. As a result
of mechanically prestressing the inner sleeve, the '521 patent teaches that a reinforced
rotor can operate at speeds where a metal inner sleeve only rotor would deform or
break before reaching higher speeds. In discussion of prio art, the '521 patent makes
note of a temperature "shrinkage fit" wherein an internal metallic member is kept
at a low temperature while an external fiber laminate sleeve is applied to the metal
member (col. 1, lins 34-51). The '521 patent asserts that only a limited temperature
reduction is obtainable, and that high surface pressure between the fiber reinforced
sleeve and the metal member cannot be achieved when the inner member returns to room
temperature. The '521 patent teaches against temperature "shrinkage fit" designs.
This patent fails to recognize the possibility of significant shrinkage using very
cold temperatures.
[0007] Thus, the 4,160,521 patent teaches away from "shrinkage fit" between differing material
layers of a rotor body, and towards the concept of prestressing a composite sleeve
over an inner body, since the '521 patent does not believe that shrinkage fit will
be achievable.
[0008] U.S. Patent 4,468,269 to Carey (assigned to the common assignee of this application)
and U.S. Patent 3,913,828 to Roy both disclose an ultracentrifuge rotor design comprising
a plurality of "nested" rings of filament wound layers surrounding the cylindrical
wall of a metal body rotor. The rings are "nested" together by a thin coat of epoxy
between each ring. The rings are manufactured by winding on mandrels having different
diameters, the diameters being chosen so that each ring section will be manufactured
within a uniform range of ten to fifteen layers of filament thick. By fabricating
the rings in thin sections and then nesting the rings together, it is possible to
achieve a rotor structure where the filament density of the outside diameter of the
ring is as high as the inside diameter of the ring. The nested telescoped polymer
rings are epoxied to a coating wall 13 (Fig. 1 of the '269 patent) and pressed onto
the wall 13 using small axial loading pressures. The final structure is temperature
cured. The structure relies upon temperature cured epoxy layers to reinforce the central
wall 13 structure, the wall selected from titanium, aluminum or heat treated steel.
[0009] None of the conventional hybrid rotor designs are directed to a single shell, simplified
reinforcement structure.
[0010] The prior art did not address a fundamental problem, which was that both static and
dynamic loads must be analyzed and considered when one wishes to design a multi-material
rotor for ultracentrifuge application.
[0011] The Lindgren '521 patent and the Carey '269 patent address the static load inquiry,
but not the dynamic loading results of their respective designs. Static loading is
the stress between the core body and outer material ring when the rotor is at rest.
These static loads are important to hold together any hybrid rotor assembly at rest;
but, when rotation of the rotor occurs, a tangential outward stress arises. The core
bodies of the '521 and '269 patent designs expand at a slower rate than the outer
ring, so that the outer ring may not remain stress loaded on the core body during
dynamic rotor operation. Because the core body expands at a slower rate than the outer
ring during conditions of dynamic loading, the ring may slip away from the core body
and no longer maintain a pre-stressed load on the body.
[0012] Heretofore, aluminum and titanium have been the materials selected to comprise an
isotropic material rotor. Aluminum alone may be used for high speed applications only
where the stresses created by a rotor filled with fluid specimen are considerably
less than the stress failure point of the aluminum body. Where high capacity rotors
require greater speeds, the rotors, heretofore, have been designed using titanium,
a dense material capable of withstanding higher stresses and capacities of sample
fluid than a comparable size high capacity aluminum rotor. Heretofore, only titanium
has been able to withstand the dynamic stresses of high speed, high capacity centrifugation.
Any lower density design, such as an aluminum and composite material ring design,
must be able to withstand the same dynamic loads that the titanium rotor encounters.
[0013] What is needed is a hybrid rotor design which takes into account the need for addressing
both the static and dynamic load characteristics of such a multi-material design.
While an outer fiber-reinforced shell, like the Lindgren '521 patent, pre-stresses
the core during static conditions, this inward stress causes undue and unwanted non-uniform
stress to arise within the core body during rotational conditions of dynamic load.
[0014] What is needed is a simplified reinforced rotor which eliminates the need for titanium
at ultra high speeds, substituting a lighter and more machinable metal as the core
of a reinforced rotor.
Summary of the Invention
[0015] A hybrid centrifuge rotor body is disclosed which is made from two primary portions,
a rotor core body and a reinforcement ring. The rotor core body is an isotropic material
such as aluminum metal. The reinforcement ring which surrounds the rotor core body
is made from an anisotropic material such as a graphite fiber and an epoxy resin filament
wound material. (As used in this application, the term "anisotropic" shall mean a
material having properties, such as bulk modulus, strength, and stiffness, oriented
in a particular direction.) The resin in the reinforcement ring may have thermoplastic
or thermoset properties. The fiber of the filament-wound ring may be a material such
as glass or the organic resin fibrous material Kevlar®, made by Du Pont, which are
both useful substitutes for graphite.
[0016] The isotropic core body of the hybrid centrifuge rotor prestresses the filament-wound
anisotropic reinforcement ring. The core body is designed to originally be nominally
of greater diameter than the reinforcement ring. The core body is then uniformly temperature
shrunk in a cryogenic environment and fit for positioning within the inner diameter
of the reinforcement ring upon final assembly of the rotor, telescoped within the
reinforcement ring, so that the core body pre-stresses the reinforcement ring. The
core body pre-stresses the ring as the body returns to ambient temperatures after
removal from the cryogenic environment. The pre-stressing arises as the core body
attempts to restore its original dimensions. The cryogenic environment may be achieved
by bathing the isotropic core body in a liquid nitrogen bath. The core body may be
uniformly shrunk to a maximum degree calculated according to the equation "δ = αLΔT,
where δ is the shrinkage; α is the coefficient of thermal expansion; L is the diameter
of the metal core body; and, ΔT is the temperature difference between the ambient
room temperature and the cryogenic environment. The core body is then bathed in a
cryogenic environment for an optimum time period to achieve a shrinkage of the core
body within the computed range defined by the above equation. The core body then re-expands
at ambient temperature after being positioned and telescoped within the reinforcement
ring at a uniform rate.
[0017] The anisotropic reinforcement ring which surrounds the core body may be filament
wound in a conventional circumferential manner where the orientation of the fiber
wind is zero degrees from a horizontal plane parallel to the base of the rotor core
body. In an alternative embodiment, the filament-wound ring may be wound in a criss-cross
fashion at an orientation angle other than the horizontal plane, in order to further
enhance and strengthen the reinforcement ring.
[0018] A method of manufacturing a hybrid centrifuge rotor is also disclosed which includes
the steps of placing the isotropic metal material rotor core body into a cryogenic
environment, such as liquid nitrogen, which uniformly shrinks the size of the core
body; fitting an anisotropic material reinforcement ring around the shrunken core
body such that the rotor core body is surrounded by and telescopes into the reinforcement
ring; allowing the rotor core, assembled into the reinforcement ring, to return to
ambient temperatures, causing the core to restore its original size and interference
fit against the ring. As a part of the method of manufacture, the size of uniform
shrinkage of the core body may be determined by the formula heretofore referred to
for uniformly shrinking a body in a cryogenic environment. The ring preferably is
placed around the cryogenically treated core body, but it may alternatively have the
core body positioned within the ring's diameter.
[0019] By pre-stressing the reinforcement ring, due to the interference fit of the core
body and ring, a strong static load is achieved. The outward expanding core body pre-stresses
the reinforcement ring by achieving a high static load of the core body against the
ring. During rotation and conditions of dynamic loading, the high modulus present
in the reinforcement ring tend to contain the core body as centrifugal forces tend
to build within the core body. In this manner, a hybrid rotor design is achieved which
compensates for both static and dynamic loading.
Brief Description of the Drawings
[0020]
Figure 1 is an elevational cross-sectional view of a hybrid centrifuge rotor of this
invention taken along the diameter of a vertical tube rotor body manufactured according
to this invention.
Figure 2 is a cross-sectional elevational view of a fixed-angle rotor manufactured
as a hybrid centrifuge rotor, taken along the diameter of said rotor.
Detailed Description of the Preferred Embodiment
[0021] The hybrid rotor of this invention comprises two major components, namely, an isotropic
rotor core and an anisotropic reinforcement ring. With reference to Figure 1, a cross-sectional
view of the preferred embodiment of a hybrid centrifuge rotor is shown generally.
The isotropic rotor core 12 is preferably made from aluminum, which has a density
of approximately 0.11 lb/in³. This metal rotor core body 12 has a density substantially
less than the conventional isotropic unibody rotor made from titanium, which has a
density of 0.16 lb/˝n³.
[0022] Circumferentially surrounding the rotor core body is an anisotropic reinforcement
ring 14. The reinforced ring 14 is a cylindrical graphite fiber and epoxy resin filament-wound
ring. The density of the composite material filament-wound reinforcement ring 14 is
approximately 0.06 lb/in³. Thus, for a vertical tube rotor as shown in Figure 1, the
density of the entire rotor assembly of the preferred embodiment is substantially
lower than a conventional titanium rotor. The cutaway view of the hybrid rotor of
Figure 1 shows a vertical test tube cavity 16 formed within the rotor core body 12.
Figure 1 shows the hybrid rotor assembly having a drive shaft hole 18 for receiving
the drive shaft (not shown).
[0023] The design of a large capacity centrifuge rotor body which may be driven at high
speeds must meet various criteria. Among these criteria is a consideration of the
density or weight of the rotor. The lower the density, the lower the kinetic energy
that will be generated at a given rated speed in the event of a mishap. A lighter
weight rotor, such as disclosed in this application, will require substantially less
acceleration and deceleration time, and the choice of aluminum as a core body represents
a substantial reduction in manufacturing cost over the conventional titanium rotor.
Heretofore, even with the disadvantages of cost and a difficulty of machining, titanium
was chosen as the conventional design for a high density, high energy centrifuge rotor
because only titanium could withstand very high speeds for large capacity applications
that were desirable for the application and performance of various research biological
separations of organic materials. Although a titanium rotor offers strength, its higher
density generates higher kinetic energy as the rotor speed increases, which requires
a corresponding increase in the strength and weight of the centrifuge barrier ring
needed to contain this higher energy rotor in the event of a rotor failure. The hybrid
rotor disclosed herein is of lighter weight and density than the conventional titanium
centrifuge rotor, and thus a lower kinetic energy than a conventional titanium rotor
requiring no change in centrifuge carrier ring design, yet capable of withstanding
high speeds without undue stress to the hybrid rotor core body.
[0024] The hybrid rotor of this invention accomplishes the goal of providing a lower density
centrifuge rotor assembly by the nature in which the rotor core body and reinforcement
ring interface. Heretofore, conventional interface in prior multi-layer material centrifuge
rotor body designs have relied on prestressing of the rotor body core. Heretofore,
the outer ring was designed to prestress the rotor core body such that a strong interface
would be accomplished. However, prestressing the rotor core body by pressure-fit methods
in a conventional manner may lead to faults, cracks, and strains within the rotor
core body 12 which, at the ultra high speeds attainable by a centrifuge motor drive,
might lead to destruction of the rotor core body and a potential mishap.
[0025] The disclosure of this invention chooses to prestress the reinforcement ring. This
is accomplished by an interference fit resulting in an interface outward stress in
excess of 50,000 psi static loading between the reinforcement ring 14 and the rotor
core body 12. (As used in this application, the term "interference fit" means that
where two parts are mated to form an assembly, like the core body 12 and the ring
14, one of the parts (in this case the core body) is forced to occupy a space smaller
than its normal size, so that internal stresses within that first part cause this
first part to exert a uniform stress against the other second part which the first
part abuts.) The rotor core body 12 is designed to initially have a diameter which
is nominally larger than the inner diameter of the reinforcement ring 14. The rotor
core body 12 is then placed into a cryogenic environment where it is uniformly temperature
shrunk so that the diameter of the rotor core body 12 will be just under the inner
diameter of the reinforcement ring 14, so that the reinforcement ring 14 surrounds
the core body 12 and the rotor core body 12 is telescoped within the reinforcement
ring 14. The rotor may, alternatively, be assembled by placing the core body 12 within
the inner diameter of the reinforcement ring 14. The rotor core body 12, in the preferred
embodiment, is placed in a liquid nitrogen bath at a temperature of -290° F. for a
period of .25 hours. By bathing the rotor core body 12 in a liquid nitrogen bath,
uniformity of shrinkage is achieved. The maximum amount of shrinkage possible may
be calculated according to the formula δ = α · LΔT:
where, δ = shrinkage (measured in inches);
α = the coefficient of thermal expansion; (measured in inches per degree Fahrenheit);
L = the diameter of the metal core measured in inches; and,
ΔT = the temperature difference between the temperature of the cryogenic environment
liquid nitrogen bath (approximately -290/° F.) and an ambient temperature of approximately
+77° F.
[0026] In the preferred embodiment, ΔT would be approximately -367° F. In this manner, δ,
shrinkage, would be measured in negative (-) inches.
[0027] After this maximum shrinkage is calculated, an experiment plot of shrinkage vs. time
is undertaken to discover the optimum length of time that the core body 12 should
be bathed in liquid nitrogen to achieve a desirable shrinkage within the calculated
range.
[0028] After the rotor core body 12 is bathed in the liquid nitrogen cryogenic environment
for an optimum period of time, the reinforcement ring may be assembled to surround
the rotor core body. Along the interface 22 between the rotor core body 12 and the
reinforcement ring 14 there is an interference fit. This interference fit between
the rotor core and the reinforcement ring is accomplished by thermally shrink fitting
the rotor core body 12 to a small enough diameter that the reinforcement ring 14
will surround the core body rather than mechanically forcing the rotor core body 12
to fit inside the reinforcement ring 14. The interference fit is achieved by taking
advantage of the higher coefficient of thermal expansion of the metal core, when compared
with the coefficient of thermal expansion of the reinforcement ring. Once the cryogenically
treated core body is placed into a telescoped position within the ring, the ring is
rapidly cooled, initially, by the core body due to the residual thermal effect which
the extremely cold core body imparts on the ambient temperature ring 14; but, the
ring expands slower than the core body due to its lower thermal coefficient of expansion.
In other words, the cryogenic environment more rapidly shrinks the rotor core body
12 than any residual thermal affect the assembly procedure might have on the reinforcement
ring. Thus, upon assembly, as the rotor core body 12 returns to ambient room temperature,
it presses outward and prestresses the reinforcement ring 14, without undue stress
on the rotor core body 12. This is so because the rotor core body 12 expands outward
uniformly so any stress on the core body 12 is distributed throughout this body so
that it will be less likely for cracks and faults to arise.
[0029] The reinforcement ring 14 is manufactured as a filament-wound composite of a graphite
fiber and epoxy resin. In the preferred embodiment, the graphite fiber used to form
the ring 14 is wound at a zero degree angle to the horizontal plane of the base of
the rotor body 12. This form of construction induces hoop stress within the reinforcement
ring which balances and opposes the outward stress of the rotor core body 12. The
core body 12 and ring 14 are held tightly together due to their interface 22 by means
of an interference fit. The reinforcement ring 14, due to its uniform windings, is
an anisotropic material which orients stresses which may arise when the centrifuge
assembly is rotating in a preferred direction, utilizing the unidirectional stresses
which arise in the reinforcement ring 14 to hold the aluminum core body 12 together
at speeds in excess of that which an aluminum body of unitary construction could possibly
sustain. By having the reinforcement ring 14 be one continuous cylindrical filament-wound
ring, the invention is able to take advantage of the relative difference between the
coefficient of thermal expansion of the metal rotor core body 12 and the reinforcement
ring 14, to reduce stresses arising in the rotor core. The reinforcement ring 14 acts
to reinforce the strength of the rotor core body 12 without placing substantial additional
stress on the rotor core body, since it is the core body which pushes outward against
the inner diameter of the reinforcement ring 14 such that, along the interface 22
between the rotor core body 12 and the reinforcement ring 14, stress is displaced
out to the reinforcement ring and away from the rotor core body.
[0030] Alternative materials may be used to construct the reinforcement ring 14. Instead
of graphite, one may select a fiber for the filament-wound ring made from glass or
the organic resin Kevlar®, made by Du Pont. In place of the epoxy resin, one may use
any conventionally acceptable thermoplastic or thermoset resin.
[0031] Figure 2 shows a fixed angle rotor that may be assembled as a hybrid centrifuge rotor
according to the method of manufacture for assembling the vertical tube rotor of Figure
1. The fixed angle rotor of Figure 2 has a central tapered rotor core body 20 surrounded
by a frustoconically shaped reinforcement ring 24. The frustoconical reinforcement
ring 24 may be manufactured according to the criteria heretofore discussed for making
the reinforcement ring 14. Such a fixed angle design, providing test tube inserts
26 within the rotor core body 20 is possible, because when the tapered rotor core
body 20 is bathed in liquid nitrogen, its shrinkage along its diameter is linear along
each of a plurality of horizontal planes; i.e., the relationship between diameter
shrinkage and the coefficient of thermal expansion of the tapered rotor core body
20 is linear and uniform along any horizontal plane cutting through the rotor body
20. This might not be the case if a conventional pressure or mechanical fit were attempted
to assembly tapered rotor core body 20 into the frustoconical reinforcement ring 24.
[0032] In manufacturing the assembled centrifuge rotor of a hybrid design, it is important
to recognize that a distinctive feature of the design is the interference fit. An
experimentally derived plot of time vs. amount of shrinkage in a cryogenic environment
indicated empirically that .25 hours was the optimum time for the liquid nitrogen
bath to surround the metal rotor core body 12 or 20. In the preferred embodiment,
a bath duration beyond .25 hours produces no significant further shrinkage, as the
metal core body 12 has reached equilibrium with the nitrogen bath beyond a 15 minute
period; however, using the shrinkage equation and the empirically derived plot of
shrinkage against time is useful in deriving the optimum cryogenic bathing conditions
when the shrinkage criteria differs from the preferred embodiment. After removing
the rotor body core 12 from the liquid nitrogen bath, three to four hours are required
after the reinforcement ring 14 is placed around the rotor core body 12 for the full
effect of the interference fit to take place. Upon reaching the ambient temperatures,
the core body 12, in attempting to restore its original ambient diameter exerts in
excess of 50,000 psi outward pressure against the interface 22 with the inner diameter
of the reinforcement ring 14.
[0033] The interference fit, resulting in an outward directed uniform stress by the core
body 12 against the reinforcement ring 14, accommodate the design criteria for static
and dynamic loads. While a hybrid rotor, designed to have an isotropic core body surrounded
by an anisotropic reinforcement ring, is of greater static load strength than an all-aluminum
rotor, it is the interference fit which provides a design which is also of superior
dynamic load characteristics. By having the core body pre-stressing the ring, rather
than the conventional approach of having the outer ring stress the core body, a load
characteristic may arise which is effective in handling dynamic tangential centrifugal
forces which arise during ultracentrifugation. The hoop stress present in the reinforcement
ring of this invention, which counteracts the outward static load of the rotor core,
also may contain the dynamic tangential forces so that the ring remains affixed to
the core body during rotation. The interference fit, by placing primary static and
dynamic loads on the ring rather than the core, as well as less load on the rotor
drive bearings, accounts for the ability for the hybrid rotor of this invention to
sustain rotor speeds equivalent or in excess of the speeds achievable by conventional
isotropic titanium rotors.
[0034] A fully assembled large capacity hybrid centrifuge rotor, manufactured in accordance
with the teachings of this disclosure, will allow an aluminum core rotor to safely
reach an upper limit equivalent to or exceeding a conventional titanium rotor as opposed
to a conventional large capacity aluminum unibody construction rotor having a lower
maximum speed. The hybrid design, by prestressing the reinforcement ring 14, allows
the reinforcement ring 14 to remain secure against the surface of the rotor body core
12 as higher centrifugal speeds are attained by the hybrid body rotor. The reinforcement
ring 14 acts to safely hold the rotor core body 12 in place at speeds above the conventional
upper limit of an aluminum body rotor. Because the aluminum core body stresses are
within design criteria, and since aluminum is easier to machine, a core body having
more capacity for a vertical tube rotor, like Fig. 1, can be made. This capacity is
greater than the conventional eight cavity titanium rotor.
[0035] While the invention has been described with respect to a preferred embodiment vertical
tube rotor and an alternate embodiment fixed angle rotor constructed as shown in detail,
it will be apparent to those skilled in the art that various modifications and improvements
may be made without departing from the scope and spirit of the invention. Accordingly
it will be understood that the invention is not limited by the specific illustrative
embodiment but only by the scope of the appended claims.
1. A hybrid centrifuge rotor, comprising:
a rotor core body;
a reinforcement ring surrounding said core body and made from an anisotropic
material;
wherein, the reinforcement ring is prestressed by the rotor core body by an
interference fit between the rotor core body and the reinforcement ring.
2. The centrifuge rotor of claim 1, wherein the rotor core body is a light-weight
aluminum material.
3. The centrifuge rotor of claim 1, wherein the reinforcement ring is a cylindrical
graphite fiber and epoxy resin filament-wound ring.
4. The centrifuge rotor of claim 3, wherein the resin has thermoplastic properties.
5. The centrifuge rotor of claim 3, wherein the resin has thermoset properties.
6. The centrifuge rotor of claim 3, wherein the fiber of the filament-wound ring is
an organic resin material.
7. A hybrid centrifuge rotor having an isotropic core body; and a filament-wound anisotropic
reinforcement ring surrounding and prestressed by said core body, manufactured by
the steps of:
cooling said core body to shrink the diameter thereof;
telescoping said ring over said body; and,
bringing said core body to ambient temperature whereby said core body expands
against and uniformly stresses said ring.
8. The hybrid centrifuge rotor of claim 7, wherein the manufacturing step of cooling
the core body includes:
bathing the core body in a cryogenic environment for an empirically derived
optimum time to achieve a desired diameter shrinkage.
9. The hybrid rotor of claims 1, 7, or 8, wherein said anisotropic reinforcement ring
surrounding said core body is filament wound circumferentially at an orientation angle
from the horizontal plane of the rotor core body equal to zero degrees.
10. The hybrid rotor of claim 9, wherein the filament is wound in a criss-cross fashion
at an orientation angle from the horizontal plane other than zero degrees.
11. A method of manufacturing a hybrid centrifuge rotor, comprising the steps of:
placing an isotropic material rotor core body into a cryogenic environment and
shrinking the size of said core body;
fitting an anisotropic material reinforcement ring around said rotor core such
that the rotor core telescopes into said reinforcement ring;
allowing said rotor core, assembled into said reinforcement ring, to return
to ambient temperatures, whereby the core expands against the ring to form an interference
fit.
12. The method of manufacturing a hybrid centrifuge rotor as in claim 11, wherein
the rotor core body is shrunk in size in said cryogenic environment a uniform and
predetermined amount, such that the diameter of the core body shrinks uniformly according
to an empirically derived graphic plot of shrinkage against time, whereby an optimum
time for subjecting the core body to the cryogenic environment may be chosen to achieve
the desired core body shrinkage.