Embodiments of the present invention are related to weapons incorporating reactive materials and, more particularly, to weapons such as countermeasure weapons utilizing reactive materials to assist in defeating a target and also to related methods.
Countermeasure weapons are often utilized to destroy or at least diminish the destructive capacity of another weapon so as to limit the potential destruction that may be otherwise inflicted by the other weapon. For example, it is desirable to destroy an incoming rocket or missile at a distant location, during the rocket's or missile's flight, so as to prevent the rocket or missile from reaching its intended target or even detonating near a location where damage or injuries might occur.
While numerous types of countermeasure weapons exist, as will be recognized by those of ordinary skill in the art, one specific example is a surface-to-air guided countermeasure missile utilized to defeat incoming missiles, rockets or other aerospace vehicles. A radar system is used to detect and track an incoming weapon or vehicle and even determine the type of incoming object. A control station, which may be manned or automated, is used to monitor incoming threats and make decisions regarding potential targets. The surface-to-air missile is launched upon command from the control station, which control station may be remotely located relative to the launcher. The missile is guided to the target that may include tracking the missile by radar, using homing sensors built in to the missile, or using a combination of both techniques. Various versions of surface-to-air missiles exist, and while they generally operate in a similar manner, they conventionally incorporate one of two different “kill mechanisms,” or means of defeating the target weapon.
For example, one type of surface-to-air guided missile attempts to accomplish a dynamic defeat of its target by use of kinetic energy. In other words, this type of missile collides with its target in an attempt to detonate the target weapon prior to the target weapon reaching its intended destination. In another type of surface-to-air guided missile, the missile is guided toward its target weapon and, as it approaches the weapon, detonates a warhead and causing an explosion. The explosion of the missile is intended to either cause detonation of the target weapon or to at least change the course of the target weapon to prevent it from reaching its intended destination. The countermeasure missile may include the use of a fragmenting warhead such that fragments from the explosion impact the target weapon and provide the desired kinetic energy in an effort to defeat the target weapon.
Thus, each of these dynamic defeat mechanisms relies on kinetic energy to defeat to a substantial degree in their efforts to destroy the target weapon. However, such defeat mechanisms are not always completely reliable. One of the issues with reliance on kinetic energy as a kill mechanism, particularly if a fragmenting warhead is being utilized, is that it becomes difficult to design the countermeasure weapon since the charge to mass ratio for smaller diameter warheads becomes too low to accelerate the fragments to the velocity required to achieve a kinetic energy kill.
Thus, sometimes, even a kinetic energy “hit” of the target weapon by the countermeasure weapon fails to result in the complete destruction of the target weapon. Similarly, an explosion of a countermeasure weapon, whether using a fragmenting warhead or not, may not completely destroy the target weapon. Failure to completely destroy the target weapon may result in substantial injury or damage, either at the intended destination of the target weapon or at some other location, inflicted by the surviving portions or fragments of the target weapon.
In an effort to improve the likelihood of destroying a given target weapon, some attempts have been made to design a countermeasure weapon configured to have a kill mechanism that relies on both kinetic energy and chemical energy. It is intended that the chemical energy be released in the form of heat and pressure. Prototype warheads have been reported as producing fragments formed of a powdered metal embedded in a plastic matrix that survive an explosive launch typical of warhead fragmentation. The fragments are thus intended to provide kinetic energy, impacting the target weapon, and chemical energy through added heat and pressure as they react upon impact, in an attempt to destroy the target weapon.
However, it is a continuing goal to improve the efficiency and lethality of countermeasure weapons so as to provide a higher kill rate and ensure more complete destruction of a target weapon. It is also a continuing goal to improve the lethality of weapons while being provided in a design that is similar in size, or even reduced in size, to existing state of the art weapons. It would also be desirable to provide methods of making such weapons and improved methods of destroying a target weapon.
One embodiment of the present invention comprises a weapon component that may be used in conjunction with a warhead or other munitions. The structure of the weapon component includes at least one discrete fragment disposed in a reactive material matrix, wherein the at least one discrete fragment and the reactive material matrix are cooperatively shaped into a reactive material fragmentation body.
Another embodiment of the present invention comprises a warhead. The warhead includes at least one discrete fragment disposed in a reactive material matrix. The at least one discrete fragment and the reactive material matrix are cooperatively shaped into a reactive material fragmentation body. An explosive charge is cooperatively configured in association with the reactive material fragmentation body to cause fragmentation of the reactive material matrix upon detonation of the explosive charge. A projectile, such as a missile incorporating an embodiment of a warhead of the present invention is also encompassed by the present invention.
Yet another embodiment of the present invention comprises a method of defeating a target weapon. The method includes positioning a warhead proximate the target weapon and detonating the warhead to propel a plurality of fragments therefrom. The target weapon is penetrated with at least a first fragment of the plurality of fragments so as to at least partially expose an interior portion of the target weapon. A chemical reaction is initiated, for example, at a location adjacent the target weapon subsequent the penetrating of the target weapon.
Yet another embodiment of the present invention comprises a method of explosively launching a warhead. The method includes positioning a warhead proximate the target weapon. The warhead is detonated and a plurality of fragments are propelled from the warhead so that target weapon is penetrated with at least a first fragment of the plurality of fragments such that an interior portion of the target weapon is at least partially exposed. A chemical reaction is then initiated adjacent the target weapon subsequent to its penetration by a fragment.
Additional aspects of the present invention are disclosed herein and will be readily understood by those of ordinary skill in the art upon reading of the detailed description of the invention and the appended claims.
The foregoing and other advantages of the invention will become apparent upon reading the following detailed description and upon reference to the drawings in which:
Referring to
As shown in
The weapon 100 may also include a forward or nose section 108 that may house a guidance/control system configured to direct the weapon 100 along a desired flight path such as by controlling the fin assembly 106, the one or more nozzles associated with the rocket motor 102, or both. The control system may include various sensors that may be used in detecting a target weapon and, further may include communication equipment configured to transmit and receive information related to the flight or status of the weapon 100 as well as information gathered relating to a target weapon. Additionally, the weapon may include a warhead 110 that is configured to be detonated at a specific time in an effort to defeat a target weapon. Depending on the desired use of the weapon 100, the warhead 110 may be configured to detonate upon impact of the weapon 100 with a target weapon 100, or it may be configured to be detonated at a desired time, such as when the weapon 100 is located within a desired distance of a target weapon. In the case of the latter, the control system 108 may include or be associated with appropriate detonating equipment to effect the desired detonation of the warhead 110 as will be appreciated by those of ordinary skill in the art.
It is noted that the weapon 100 depicted in
Referring to
The discrete fragments 112 are embedded or otherwise disposed in a reactive material matrix 114. The reactive material matrix 114 may include a castable energetic material capable of producing, for example, intermetallic, thermitic or more conventional fuel/oxidizer reactions. The reactive material matrix 114 further exhibits physical properties designed to hold the discrete fragments 112 and maintain a desired geometric shape, the discrete fragments 112 and the reactive material matrix cooperatively defining a reactive material fragmentation body 116. While not shown in
As seen
Referring briefly to
The discrete fragments 112 utilized in a given reactive material fragmentation body 116 may each exhibit substantially the same geometric configuration or they may exhibit multiple, different geometric configurations. Additionally, the discrete fragments utilized in a given reactive material fragmentation body 116 may each be similarly configured with respect to material composition or they may include multiple fragments 112 that are configured from different material compositions, including inert and reactive material compositions.
The discrete fragments 112 may further be configured as substantially monolithic, homogenous structures, or they may be formed as composite structures being formed of multiple components. Additionally, the discrete fragments may be formed from inert materials, reactive materials, or both. For example, the discrete fragments 112 depicted with respect to
Still referring to
Referring now to
As will be appreciated by those of ordinary skill in the art, various factors are taken into account with regard to the ballistic drag of the discrete fragments 112 as compared to the ballistic drag of the reactive material matrix fragments 132. For example, the velocity differential over a defined distance may be influence by the geometric configuration of the discrete fragments 112; by the packing arrangement of the discrete fragments within the reactive material matrix 114 prior to explosive launch; by the density of discrete fragments 112 relative to the material used for the reactive material matrix 114; by the comparative surface areas of the discrete fragments 112 and the reactive material matrix fragments 132; by the comparative roughness of the surfaces of the discrete fragments 112 and the reactive material matrix fragments 132; by other factors and various combinations of the above-listed examples of factors.
It is noted that, in certain embodiments, the reactive material matrix fragments 132 will actually have a higher initial velocity than will the discrete fragments 112. However, as already discussed hereinabove, based on various factors that influence the ballistic drag of the various fragments 112 and 132, the discrete fragments 112 may be designed to have a higher velocity over a defined distance than that which is exhibited by the reactive material matrix fragments 132.
With the discrete fragments 112 traveling at a higher velocity (over the defined distance) than the reactive material matrix fragments 132, the discrete fragments 112 reach the target weapon first and utilize their kinetic energy to penetrate the target weapon 130. Besides other damage that might be inflicted by the discrete fragments 112, the penetration of the target weapon 130 causes material (including, for example, explosive, incendiary, reactive, or biological material) to be released from the target weapon 130 in a particulate cloud 134. The reactive material matrix fragments 132 subsequently reach the target weapon 130 and react, such as upon impact therewith. The reaction of the reactive material matrix fragments 132 may produce additional heat, additional pressure, or both, depending on the specific composition of the reactive material being used. Additionally, the added heat, pressure, or combination of both may further cause the material forming the particulate cloud 134 to react such that, for example, the particulate cloud 134 and the remaining material within the target weapon 130 burns or explodes, thereby destroying the target weapon 130.
Thus, the warhead 110 utilizes both kinetic energy and chemical energy, in a controlled and ordered manner, to effect a dynamic defeat of the target weapon 130. It is noted that the discrete fragments 112 and the reactive material matrix 114 (and thus the reactive material matrix fragments 132) may be specifically designed to provide a predetermined velocity differential. For example, selection of the materials used in forming the discrete fragments 112 and the reactive material matrix 114 may result in a density difference between such components, thereby affecting the relative kinetic and dynamic characteristics of the discrete fragments 112 and the reactive material matrix fragments 132. Additionally, as noted hereinabove, the discrete fragments 112 may be geometrically configured to provide enhanced aerodynamic properties as compared to the reactive material matrix fragments 132. In other words, the discrete fragments 112 may experience less aerodynamic drag that the reactive material matrix fragments 132.
The reactive material fragmentation body 116 may further be configured to promote a substantially controlled break-up of the reactive material matrix 114 upon explosive launch such that the reactive material matrix fragments 132 are of a desired shape, a desired size or both. For example, while not specifically shown, the reactive material fragmentation body 116 may include a pattern of scores, kerfs, notches or grooves to promote a patterned break-up of the reactive material matrix 114. Additionally, or alternatively, the packing arrangement of the discrete fragments 112 within the reactive material matrix 114 may be configured to promote a desired break-up of the reactive material matrix 114.
Referring more specifically to
Of course various combinations and variations of such embodiments may be utilized, including a discrete fragment 112′ that includes a reactive material or various combinations of discrete fragments 112, 112′ and 113 with or without reactive material matrix fragments 132.
A reactive material fragmentation body 116 such as has been described herein may be formed by various methods or processes. For example, a reactive material fragmentation body 116 may be formed using casting, extruding, injection loading techniques or other processes as will be appreciated by those of ordinary skill in the art. Referring to
Mold tooling 138 used to fabricate a reactive material fragmentation body 116 may include a case 140 and a core 142. The case 140 and core 142 may be configured and positioned so as to form a gap or a space 144 between the two tooling components. A plurality of discrete fragments 112 is disposed within the gap or space 144. Reactive material 146 is cast through the discrete fragments 112 disposed in the gap or space 144 by means of pressure (as schematically indicated by arrows 148). One or more vent ports 150 are formed in the tooling 138 (e.g., the case 140) to enable air to escape from the mold tooling 138 during the casting process. Such a process enables the formation of a reactive material fragmentation body 116 wherein a plurality of discrete fragments 112 are disposed in a matrix material such as a reactive material matrix 114.
A reactive material fragmentation body 116 may be formed from numerous types of materials. For example, as set forth hereinabove, the discrete fragments 112 may be formed of either inert material, reactive material, or as a composite of both inert and reactive materials. In one embodiment, the discrete fragments may be formed, for example, as steel or tungsten shot or bearings (i.e., spherical members). In another embodiment, other metals, including alloys of such metals may be used to form the discrete fragments 112.
Additionally, the reactive material matrix 114 may be formed of any of a number of materials. Generally, in one embodiment, the reactive material may comprise at least one material comprising a fuel and at least one material comprising an oxidizer. In another embodiment, thermites with binders may be utilized. In a further embodiment, intermetallics with binders may be utilized.
Examples of thermitic compositions that may be used include, without limitation, the following: 2Al+Bi2O3, 2Al+3CuO, 2Al+Fe2O3, 10Al+3I2O5, 2Al+Ni2O3, 4Al+3SiO2, 4Al+3SnO2, 4Al+3WO2, 2B+3CuO, Hf+2CuO, 3Hf+2Fe2O3, 2Hf+Fe3O4, 2Ta+5CuO, Zr+2CuO, and 3Zr+2Fe2O3.
Examples of intermetallic compositions that may be used include, without limitation, the following: Al+2B, 2Al+Ca, Al+Co, 5Al+2Co, Al+Fe, 3Al+Fe, Al+Ni, Al+3Ni, Al+Pd, Al+Pt, 2 Al+3S, Al+Ti, 2 Al+Ti, 2 Al+Zr, 6B+Ce, 2B+Cr, 2B+Hf, 6B+La, 2B+Mn, 2B+Mo, 2B+Nb, 6B+Sm, 2B+Ta, 4B+Th, B+Ti, 2B+Ti, 2B+U, 4B+U, B+V, 2B+V, 5B+2W, 2B+Zr, 3Ba+2Bi, 2Ba+Sn, Be+2C, 2Be+C, 5Be+Nb, C+Hf, 0.98C+Nb, C+Nb, C+2B, C+Si, C+Ta, 1.94C+Th, 2C+Th, C+Ti, C+U, 2C+U, C+V, C+Zr, Ca+Si, 2Ca+Sn, Ce+2Si, Ce+Zn, Co+Si, 5Cr, 3Si, Fe, +Si, Mg+S, Mg+Se, Mg+U, 5Nb+3Si, Ni+Si, Pd+Sn, S+Zn, 2Si+Ta, 3Si, +5Ti, 2Si, +V, 2Si+W, Si+Y, Si+2Zr, 2Si+Zr, 3Si+5Zr, 2Zn+Zr.
In accordance with one embodiment of the invention, the thermite or intermetallic composition may be loaded into a castable fluoropolymer binder. One example of a suitable binder includes perfluorosuccinyl polyether di-alcohol (a castable binder known by the designation L9939 and available from 3M Company of St. Paul, Minn.) that is cured with isocyanate desmador N-100 or N-3200 and a trace of dibutyl tin diacetate. Another example of a suitable binder includes a castable non fluorinated hydroxyl terminated polymer of triethylene glycol succinate, (a binder commercially known as Witco 1780 and available from Chemtura Corporation of Middle Bury, Conn.) that is cured with N,N-diglycidyl-4-glycidyloxybenzenamine (an epoxy, commercially known as ERL 0510) and catalyzed with a metal linoleate such as iron linoleate or octoate.
Other examples of suitable binders include inert thermoplastic polymers such as ethylethacrylate, polyamide (nylon), polyester, polyethylene, polypropylene, polystyrene, polycarbonate, polyacrylates, polyvinyl chloride (PVC), acrylonitrile-butadiene-styrene (ABS), fluorinated thermoplastic polymers such as terpolymers of tetrafluorethylene, hexafluoropropylene and vinylidenedifluoride (THV) including those commercially known by the designations of THV 220 and THV 500, and polyvinyl alcohol (PVA). Additionally, thermoset resins or polymers may be used including, for example, silicone, phenolic, polyester, polyurethane, melamine formaldehyde resins, polysulfide, epoxies, acrylates, fluoropolymers and polyimides.
Other materials that may be used to form the reactive material matrix 114 include low-melting point metal alloys. For example, a fusible metal alloy known as Indalloy® 174, that has 57% Bi, 26% In, and 17% Sn (percentages indicated herein are percentages by weight unless stated otherwise). Indalloy® 174 has a melting point of 174° F. (approximately 79° C.), a density of 8.54 grams per cubic centimeter (g/cm3), and is commercially available from Indium Corp. of America (Utica, N.Y.). Another example of a metal alloy that may be used includes Indalloy® 224 that has 52.2% In, 46% SN and 1.8% Zn. Indalloy® 224 has a melting point of 226° F. (approximately 108° C.) a density of 7.27 g/cm3 and is also commercially available from Indium Corp. of America.
Low-melting point metal alloys can be used by themselves as the reactive material matrix 114, or they may be mixed with oxidizers such as, for example, potassium perchlorate, ammonium perchlorate, ammonium nitrate, potassium nitrate, cesium nitrate, strontium peroxide, barium peroxide, cupric oxide, basic copper nitrate (BCN), as well as with compositions that produce intermetallic or thermitic reactions such as have been described hereinabove.
It is believed that use of materials that exhibit low melting points to form the reactive material matrix 114, such as the low-melting point metal alloys and the thermoplastic polymers discussed hereinabove, will greatly improve the insensitive-munitions properties of the associated warheads 110 as compared to conventional warheads. Such a benefit is believed to result from the pressure relief provided to the warhead head 110 while it is in slow cook-off environments due to the softening and flow of the reactive material matrix 114 as it heats up to its melting point.
It is additionally noted that the above materials, described as examples that may be used in conjunction with the reactive material matrix 114, may also be used as reactive materials associated with discrete fragments (e.g., 112′ or 113). Additional examples of reactive materials that may be used in conjunction with various embodiments of the present invention (in conjunction with either the reactive material matrix or in association with discrete fragments) include those disclosed in U.S. patent application Ser. No. 10/801,946 filed on Mar. 15, 2004 (entitled REACTIVE COMPOSITIONS INCLUDING METAL), U.S. patent application Ser. No. 10/801,948 filed on Mar. 15, 2004 (entitled REACTIVE MATERIAL ENHANCED MUNITION COMPOSITIONS AND PROJECTILES CONTAINING SAME), and U.S. Pat. No. 6,962,634 issued Nov. 8, 2005 (entitled LOW TEMPERATURE, EXTRUDABLE, HIGH DENSITY REACTIVE MATERIALS), the disclosures of each of which documents are incorporated by reference herein in their entireties.
Yet another material that may used as a reactive material (e.g., either as the reactive material matrix 114 or as a component of one of the discrete fragments 112′ or 113) includes a composition containing a mixture of approximately 50% W (90 micron powder tungsten), approximately 21.43% W (6-8 micron powder tungsten), approximately 9.99% KP (20 micron powder potassium perchlorate), approximately 9.99% Zr (325 mesh zirconium), approximately 4.42% of an epoxy commercially known as Araldite® LY 1556 (available from Huntsman Corp. of Salt Lake City, Utah), approximately 3.98% of an anhydride hardener commercially known as Aradur® 917 (available from Huntsman Corp.), approximately 0.023% of an amine accelerator commercially known as DY070 (available from Huntsman Corp.) and approximately 0.171% of a fumed silica commercially known as Cab-O—Sil® TS720 (available from Cabot Corp. of Albuquerque, N. Mex.).
Weapons 100 and warheads 110 provided in accordance with various embodiments of the present invention offer numerous advantages including increased efficiency in defeating a target weapon by utilizing both kinetic and chemical energy. Additionally, weapons in accordance with various embodiments of the present invention enable smaller, more maneuverable countermeasure weapons may be utilized and the charge-to-mass ratio of such a weapon may be reduced.
It is noted that various weapons and munitions may be manufactured and utilized in accordance with one or more aspects of the present invention. Various embodiments of the present invention may include fragmentary warheads, rockets and missiles incorporating such warheads, fragmentary medium caliber munitions, unmanned vehicles, structural components in such unmanned vehicles, reactive projectiles and bullets, or other various types of weapons and munitions. As such, it will be recognized by those of ordinary skill in the art, that while described as a substantially cylindrical warhead hereinabove, that the present invention may take the form of various shapes including, for example, pucks, discs, balls or spheres, plates, prisms, annular shapes, cones, pyramids or various other shapes including complex shapes. Additionally, the warhead 110, or any other weapon formed in accordance with various embodiments of the present invention, may be configured to disperse the discrete fragments 112 in a substantially omnidirectional pattern or in a defined or focused directional pattern.
Referring generally to
An explosive charge 118, including a 792 gram mass of DLE-C038 E explosive material that exhibited a diameter of approximately 1.92 inches was disposed within the reactive material fragmentation body 116. The explosive material known as DLE-C038 includes 90% 2,4,6,8,10,12-hexanitrohexaazaisowurtzitane (CL-20) and 10% Hydroxyl-terminated polybutadiene (HTPB). The warhead included outer barrier (i.e., barrier 120) comprising aluminum and exhibiting a radial thickness of approximately 0.020 inch, and inner barrier (i.e., barrier 122) comprising aluminum and exhibiting a radial thickness of approximately 0.040 inch.
The warhead 110 was tested by positioning it approximately 1 meter (m) off of the ground and then positioning three different mortars and three different witness panels about the warhead. Three mortars were used that contained Comp B explosive material. Comp B explosive material includes approximately 59% to 59.5% RDX (cyclo-1,3,5-trimethylene-2,4,6-trinitramine—also known as hexogen or cyclonite), approximately 39% to 39.5% TNT (trinitrotoluene) and approximately 1% wax. The first mortar was positioned approximately 39.5 inches from the warhead, approximately 37 inches above the ground, and was oriented substantially vertically. A second mortar was positioned approximately 39.5 inches from the warhead, approximately 37 inches above the ground, and was oriented substantially horizontally. A third mortar was positioned approximately 58.5 inches from the warhead, approximately 35 inches above the ground, and was oriented at an angle of approximately 45°. The warhead, mortars and three witness panels were arranged such that, upon explosive launch of the warhead, fragments (both discrete and those formed from the fractured and comminuted reactive material matrix) would travel toward each of the target mortars and witness panels. The three witness panels were arranged so as to inspect and analyze the fragment patterns subsequent the explosive launch of the warhead. One of the witness panels was positioned approximately 1.0 m away from the warhead, another was positioned approximately 1.5 m from the warhead, and the last witness panel was positioned approximately 2.0 m away from the warhead.
Equipment used to record and analyze the explosive launch of the warhead included a hi-speed video camera that was capable of recording at 26,000 frames per second with a 10 microsecond exposure. Additionally, a digital video camera capable of recording at 30 frames per second and a VHS camera capable of recording at 30 frames per second were utilized.
It was determined that explosive launch of the warhead resulted in the discrete fragments traveling at an average velocity of approximately 3,800 feet per second (or approximately 2,591 miles per hour) over a distance of approximately 1.0 m. It was observed that the velocity differential between discrete fragments and reactive material matrix fragments was approximately 5 to 10 milliseconds as such fragments traveled from the warhead to the various targets.
The first mortar (oriented substantially vertically) was penetrated by 6 fragments that resulted in the complete burn-out of the explosive contained by the mortar and, therefore, was considered a “kill” or defeat of the mortar. The second mortar (oriented substantially horizontally) was completely broken apart. The third mortar (at an extended distance from the warhead, compared to the first to mortars, and oriented at an angle of approximately 45°) was likewise defeated with the mortar being fragmented.
Again referring generally to
An explosive charge 118, including a 1245 gram mass of DLE-C038E explosive material that exhibited a diameter of approximately 2.71 inches was disposed within the reactive material fragmentation body 116. The warhead included outer barrier (i.e., barrier 120) comprising aluminum and exhibiting a radial thickness of approximately 0.020 inch, and inner barrier (i.e., barrier 122) comprising aluminum and exhibiting a radial thickness of approximately 0.040 inch.
The warhead 110 was tested by positioning it approximately 1 meter (m) off of the ground and then positioning four different witness plates at locations of approximately 2.0 m from the warhead. The four witness plates exhibited relative thicknesses of approximately 0.125 inch, 0.25 inch, 0.375 inch and 0.5 inch.
Equipment used to record and analyze the explosive launch of the warhead included a hi-speed video camera that was capable of recording at 20,000 frames per second with a 10 microsecond exposure. Additionally, a VHS camera capable of recording at 30 frames per second was utilized along with two PCB blast gauges.
It was determined that explosive launch of the warhead resulted in the discrete fragments traveling at an average velocity of approximately 4,050 feet per second (or approximately 2,761 miles per hour) over a distance of approximately 2.0 m.
The witness plates each exhibited penetration by the discrete fragments indicating substantial potential for such a configuration in defeating a specified target.
While the invention may be susceptible to various modifications and alternative forms, specific embodiments have been shown by way of example in the drawings and have been described in detail herein. However, it should be understood that the invention is not intended to be limited to the particular forms disclosed. Rather, the invention includes all modifications, equivalents, and alternatives falling within the spirit and scope of the invention as defined by the following appended claims.