1. Field of the Invention
The invention relates to light weight aircraft. More particularly, the invention is related to a system and method for eliminating or substantially reducing wing peak loads and/or damage in a light weight aircraft.
2. Background Art
Large, low wing-loading aircraft, in particular solar powered aircraft, can have very high structural loads in gusts when operating at low altitude. They can also have structural dynamics problems, such as the one that led to the loss of the Helios aircraft. Wing loading, as those of ordinary skill in the art know, is the loaded weight of the aircraft divided by the area of the wing. It is broadly reflective of the aircraft's lift-to-mass ratio, which affects its rate of climb, load-carrying ability, and turn performance.
Typical aircraft wing loadings range from about 10 lb/ft2 (100 kg/m2) for general aviation aircraft, to 80 to 120 lb/ft2 (390 to 585 kg/m2) for high-speed designs like modern fighter aircraft. The critical limit for bird flight is about 5 lb/ft2 (25 kg/m2). A low wing loading aircraft, therefore, is typically in the range of about 1 lb/ft2 to about 20 lb/ft2.
Wing loading has an effect on an aircraft's climb rate. A lighter loaded wing will have a superior rate of climb compared to a heavier loaded wing as less airspeed is required to generate the additional lift to increase altitude. A lightly loaded wing has a more efficient cruising performance because less power is required to maintain lift for level flight.
While the low power requirements of a light wing loading airplane are desirable for high altitude, long endurance aircraft, the resulting low flight speed means that the aircraft can be subjected to very large gust loads when it is flying in dense air at low altitudes. In particular, the speed of the wind gusts may be greater than the airspeed of the airplane. Also, these aircraft can be quite large, and may even have a wingspan larger than the cell size of the low altitude turbulence. This can produce uneven loads on the wing, and require especially strong wing spars to withstand the loads. Making the spars stronger to withstand the additional wind gust loads adds weight to what would otherwise be a very light weight, highly efficient airplane
Thus, a need exists for a wing structure on a light weight aircraft that can handle relatively large, and perhaps localized, gusts with respect to the wing area, without permanent bending or damage to the wing structure.
It is therefore a general aspect of the invention to provide a wing structure that will obviate or minimize problems of the type previously described. According to a first aspect of the preset invention, a wing structure for use on an aircraft is provided comprising: a front spar, wherein the front spar includes at least one rigid front spar structure and at least one inflatable spar structure positioned inboard of the at least one rigid front spar structure; and a rear spar, wherein the rear spar includes at least one rigid rear spar structure and a pivot joint positioned inboard of the at least one rigid spar structure.
According to the first aspect, when a load is applied to the wing structure, for a first range of load values, deflection occurs for each of the at least one rigid front spar and each of the at least one rigid rear spar within a first range of deflection values, and for a second range of load values, deflection occurs for each of the at least one rigid front spar and the at least one rigid rear spar within a second range of deflection values, such that a minimum ratio of load values to deflection values within the first range of deflection values is greater than a maximum ratio of load values to deflection values within the second range of deflection values.
According to the first aspect, within the first range of load values, a first ratio of load values to deflection values is substantially constant, and within the second range of load values, a second ratio of load values to deflection values is substantially constant. According to the first aspect, the second range of deflection values corresponds to a range of load values within which a metal spar would bend, and the second range of deflection values corresponds to a range of load values within which a spar built from composite materials would break.
According to the first aspect, the at least one inflatable spar structure is positioned at between about 25% and 75% of a distance from a fuselage of the aircraft to a wing tip of the wing structure, and the at least one inflatable spar structure is positioned at about 50% of a distance from a fuselage of the aircraft to a wing tip of the wing structure.
According to the first aspect, a number of inflatable spar structures of the front spar and a number of pivot joints of the rear spar are equal, such that for each of the front inflatable spar structures there is a corresponding one of the rear pivot joints, and further wherein, each pivot joint of the rear spar is located at a first position that is substantially perpendicular from its corresponding inflatable spar structure of the front spar, or each pivot joint of the rear spar is located at a second position that is inboard of the first position.
According to the first aspect, an effective hinge line is formed by each inflatable spar structure and corresponding pivot joint, such that when deflection occurs, each of an outermost front rigid spar and an outermost rigid rear spar bends about the effective hinge line.
According to the first aspect, the effective hinge line is formed at an angle of between about 0° and 45° with respect to the effective hinge line when the pivot joint is positioned at the first position, and the effective hinge line is formed at an angle of about 30° with respect to the effective hinge line when the pivot joint is positioned at the first position.
According to the first aspect, when an applied load on the wing structure exceeds a predetermined minimum threshold, each of the at least one inflatable spar structure and the at least one pivot joint is configured to bend substantially similarly, and thus to twist an outermost rigid front spar and an outermost rigid rear spar, such that the outermost front rigid spar of the wing structure has a lower elevation than the outermost rigid rear spar of the wing structure.
According to the first aspect, when the load is reduced from a first value within the second range of load values to a second value within the first range of load values, the wing structure recovers to an original form.
According to a second aspect of the present invention, an aircraft is provided comprising: a fuselage; at least one vertical control surface appended to the fuselage; at least one horizontal control surface appended to the fuselage; and a wing structure, wherein a first portion of the wing structure is configured to elastically deform under a sufficient bending load to a first deformation point, such that the first portion of the wing structure generates reduced lift while deformed, and wherein when the sufficient bending load is removed, the wing structure is configured to restore itself to its original shape.
According to the second aspect, the wing structure can deform and restore itself multiple times without breaking or failing permanently, and when the first portion is elastically deformed under a sufficient bending load, an angle of attack of the first portion with respect to an airflow is reduced.
According to the second aspect, the first portion of the wing structure comprises: a substantially flexible component joined to the fuselage; and a substantially stiff component joined to the substantially flexible component.
According to the second aspect, the substantially flexible component comprises: a pneumatic structure, filled with a gas, and an inflatable spar structure.
According to the second aspect, the substantially flexible component structure comprises: a flexible apparatus, configured to flex in at least two directions, and a motor driven apparatus configured to restore the first portion of the wing structure to its original shape in the absence of the sufficient bending moment.
According to a third aspect of the present invention, an aircraft is provided, comprising: a fuselage; at least one vertical control surface appended to the fuselage; at least one horizontal control surface appended to the fuselage; a right wing structure for use on the aircraft, wherein the right wing structures includes a front spar, wherein the front spar includes at least two front right rigid spar structures and an inflatable right spar structure positioned between the at least two front right rigid front spar structures, and a rear spar, wherein the rear spar includes at least two rear right rigid spar structures and a pivot joint positioned between the at least two rear right rigid rear spar structures; a centerline inflatable spar structure, positioned over a centerline of the aircraft, wherein a right side of the centerline inflatable spar structure is attached to a most inboard front right rigid spar structure; and a left wing structure for use on the aircraft, wherein the left wing structures includes a front spar, wherein the front spar includes at least two front left rigid spar structures and an inflatable left spar structure positioned between the at least two front left rigid front spar structures, and a rear spar, wherein the rear spar includes at least two rear left rigid spar structures and a pivot joint positioned between the at least two rear left rigid rear spar structures, wherein a left side of the centerline inflatable spar structure is attached to a most inboard front left rigid spar structure.
According to the third aspect, when a load is applied to the wing structure, for a first range of load values. deflection occurs for each of the at least one rigid front spar and each of the at least one rigid rear spar within a first range of deflection values, and for a second range of load values, deflection occurs for each of the at least one rigid front spar and the at least one rigid rear spar within a second range of deflection values, such that a minimum ratio of load values to deflection values within the first range of deflection values is greater than a maximum ratio of load values to deflection values within the second range of deflection values.
According to the third aspect, within the first range of load values, a first ratio of load values to deflection values is substantially constant, and within the second range of load values, a second ratio of load values to deflection values is substantially constant.
According to the third aspect, the second range of deflection values corresponds to a range of load values within which a metal spar would bend, and the second range of deflection values corresponds to a range of load values within which a spar built from composite materials would break.
According to the third aspect, the at least one inflatable spar structure is positioned at between about 25% and 75% of a distance from a fuselage of the aircraft to a wing tip of the wing structure, and the at least one inflatable spar structure is positioned at about 50% of a distance from a fuselage of the aircraft to a wing tip of the wing structure.
The novel features and advantages of the present invention will best be understood by reference to the detailed description of the preferred embodiments that follows, when read in conjunction with the accompanying drawings, in which:
The various features of the preferred embodiments will now be described with reference to the drawing figures, in which like parts are identified with the same reference characters. The following description of the presently contemplated best mode of practicing the invention is not to be taken in a limiting sense, but is provided merely for the purpose of describing the general principles of the invention.
Light weight aircraft 50, according to exemplary embodiments, are defined as those aircraft weighing less than about 5,000 pounds or less. Referring to
According to an exemplary embodiment, light weight solar aircraft 50 has a gross weight of about 750 kilograms (kgs), a nominal operational altitude of about 80,000′, a true air speed (TAS) minimum requirement of about 60 knots, and a wing span of about 60 meters.
Wing 28 comprises of a series of rigid panels (panels) 34, each with their associated solar array 36. According to an exemplary embodiment, wing 28 is divided into wing panel outer portion (outer portion) 28a, and wing panel inner portion (inner portion) 28b. Wing outer portion 28b and wing inner portion 28b are separated by inflatable spar segment 8 and pivot (or hinge) 10. According to a preferred embodiment, the relatively short section of standard inflatable spar segment 8 comprises a combination of a gas tight bladder, a braided fiber tube (to take torsion and shear loads), and unidirectional fiber caps (to take tension and bending loads). According to other exemplary embodiments, other configurations and combinations of materials can be used to substantially similar effect. The gas tight bladder is pressurized to put the caps into an appropriate tension preload.
Bias braid 40 is formed about an outer surface of liner 38, and provides significant structural rigidity to inflatable spar segment 8. Liner 38 functions similarly to an inner tube in an older-style tire, and bias braid 40 is similar to the outer tire. According to an exemplary embodiment, bias braid 40 is made of a high strength and high durability fiber such as Kevlar® or Vectran®. Located on an uppermost and bottommost portion of inflatable spar segment 8 are axial reinforcements 42.
According to an exemplary embodiment, axial reinforcements 42 are usually straps, ribbon, or webbing, that is bonded to one or more surfaces surface of bias braid 40. In
Hinge 10 forms the rear pivot point on rear spar 6, as shown in
According to an exemplary embodiment, the 60 PSI inflatable spar segment pressurization curve (60 PSI pressurization curve) 46a indicates that for the particular sized inflatable spar segment 8 that was used in creating the bending moment data, an applied moment in the range from 0 to about 42 in-lbs produced linear results. At about 42 in-lbs, wrinkle onset began, and just after about 42 in-lbs, applied moments produced non-linear responses. That is, small amounts of applied moments produced significant deflection, as shown in the non-linear region of the 60 PSI pressurization curve 46a. According to an exemplary embodiment, Mwrinkle curve 46b and Mbuckle curve 46c are similar to curves 44b and 44c discussed above, but with 60 psi pressure.
The 80 PSI inflatable spar segment pressurization curve (80 PSI pressurization curve) 48a indicates that for the particular sized inflatable spar segment 8 that was used in creating the bending moment data, an applied moment in the range from 0 to about 56 in-lbs produced linear results. At about 56 in-lbs, wrinkle onset began, and just after about 56 in-lbs, applied moments produced non-linear responses. That is, small amounts of applied moments produced significant deflection, as shown in the non-linear region of the 80 PSI pressurization curve 48a. According to an exemplary embodiment, Mwrinkle and Mbuckle curves are similar to curves 44b and 44c, discussed above, but at 80 psi pressure.
In
As briefly discussed above,
According to an exemplary embodiment, effective hinge line 12 hinges outer portion 28a with respect to inner portion 28b, as outer portion 28a is deflected by a strong gust load. The location of inflatable spar segment 8 and hinge 10 provides outer portion 28a with the capability of changing its angle of attack during the high deflection, post buckling mode. This provides wing panel 28, and hence aircraft 50, with aeroelastic stability. The location and angle of effective hinge line 12 affects the manner in which outer portion 28a deflects upwards with respect to inner portion 28b, and the duration of its deflection. The manner and duration of deflection as function of location and angle of effective hinge line 12 is discussed in greater detail below. According to a preferred embodiment, the aft pivot point (i.e., inflatable pivot 10) is more inboard than the virtual center of the main spar buckling motion (inflatable spar segment 8, and effective hinge line 12), and any upward motion of outer portion 28a results in a decreased angle of attack, that lowers the lift of the outer portion 28a, and thus lowers the lift force on the outer wing. This lower lift force reduces the typical deflection of the wing in a gust.
Lines 14, 16 and 18, represent the metal curve (14), composite material curve (16) and inflatable material curve (18), and remain linear and aligned until the composite yield point. The “rate of bending” is the ratio of applied moment (or applied moment value) to the amount of bend. In the linear region 20, the rate is constant, meaning the wing panel 28 bends with a constant value for additional applied force. For example, if a first applied force of XN-m is applied to wing panel 28 results in a bend of 30 centimeters (cm), the an additional applied force of XN-m results in a bend of an additional 30 cm. Just beyond the composite yield point, the amount of applied bending moment becomes too much for the composite material, and the composite spar fails totally, and catastrophically. There is no yield region for the composite spar.
Metal curve 14 shows that the deflection vs. moment is linear (20) for a substantial region. As the load increases further, however, the metal begins to yield. Note that the yielding of the metal spar is different than that of the composite spar; the yielding of the metal spar is curvilinear; the additional bending moments results in more bending for a given load increase until the metal yield point 30 is reached. In this region, the moment vs. deflection curve allows the metal spar to have a permanent deformation after the load is removed, but some additional load is tolerable, allowing the wing to function, even though damage to the spar (and hence wing) is occurring and is not recoverable. At some further point with still more applied bending moment, the metal yield point 30 is surpassed, and then, with increased applied bending moment, the metal spar fails totally (at the catastrophic failure region 22), and can take no more applied bending moment. Not only can it take no further applied bending moment, the metal spar is irrevocably damaged, and can never recover.
The inflatable spar segment 8 bending moment curve, however, is also linear (18) for a good portion, but, according to an exemplary embodiment, when it reaches its design limit load, it simply buckles (buckle region 24) on its upper surface. The slope of the curve changes, but it always has positive slope (see curve 18, at the buckling region 24), and small amounts of applied moment increases the deflection disproportionately to that of the linear region (hence, “nonlinear”). When the load is reduced, the spar will follow essentially the same curve backwards, with continuously reducing deflection, until it is back in the linear region 20 of applied bending moment v. bending deflection.
Inflatable spar segment 8 has a linear load vs. deflection curve for loads up to the nominal peak bending moment. This is the same as a conventional metal or composite spar. However, when the peak load is exceeded, one of the spar caps is no longer in tension, and it will buckle. In the post buckling regime, according to an exemplary embodiment, the inflatable spar segment still supports bending moment due to the internal gas pressure, and the load vs. deflection curve still has positive slope (i.e. increasing deflection requires increasing load) or is at least horizontal, meaning it supports constant bending moment. In this region, the slope of the curve is much flatter. When the load is reduced below the nominal peak load, the spar returns to its original shape.
According to an exemplary embodiment, reduction of main spar weight is advantageously gained because the main spar does not have to handle worst case peak loads. Inflatable spar segment 8 acts to limit the bending moment at its location to its buckling load, and this serves to limit the bending load in rigid main spar 2 both inboard and outboard of inflatable spar segment 8.
As discussed above, the purpose of running the computer simulation was to determine and evaluate the design parameters in order to maximize the performance of aircraft 50a, b, that utilizes wing segments 28 with inflatable spar segments 8, hinge 10, and effective hinge line 12. There are several design considerations that were varied and tested in order to gauge their effect on the ability of wing segments 28 to withstand gusts, temporarily fail when gust loads became too great, and to then restore themselves completely to their original shape. Recovery (or restoration) from a failure condition, in and of itself, provides aircraft 50 designers with truly revolutionary and significant design tools hereto before unheard of. Furthermore, according to exemplary embodiments, it should be noted that the act of deformation of the wing structure leads to its eventual recovery occurring because of the design considerations involved in effective hinge line 12: by canting inwards effective hinge line 12, the leading edge of the “deformed” portion of the wing is lower than the trailing edge when that portion of the wing bends upwards, thereby decreasing the angle of attack and subsequently reducing lift, and hence the bending moment. Designing a wing that can deform and recover, repeatedly, for a substantial portion of expected flight conditions means the aircraft can be designed lighter (because high strength is no longer required), allowing more weight for payload and/or fuel. The design considerations include location and angle of effective hinge line 12; gap length of inflatable spar segment 8, insertion length of the inflatable spar segment (into the composite spars), inflation pressure, section diameter, bias angle, strap strength, and elongation at break. The test results are discussed in detail below.
In order to determine optimum aircraft design configurations, computer simulations were run for two different plane types that illustrate use of inflatable spar segments 8 in wing panels 28, as shown in
Each aircraft 50a, 50b has a 26% structural mass fraction (i.e., the structure of the aircraft accounts for 26% of its total mass, or about 195 kgs). The bulk of this mass (20%) is assigned to the wing, with smaller allotments for the fuselage and the tail in the case of the conventional tailed aircraft. For both models, additional point masses were added along the fuselage to balance the aircraft and reach the nominal mean take-off weight (MTOW) of about 750 kg used for the comparison.
To establish a performance baseline against which the load-limiting inflatable structures of interest can be measured, gust cases were identified that caused failure of the conventional rigid wing spar of the baseline aircraft 50a, 50b. The ASWing computer simulator has the capability to model a variety of gust scenarios, which consist of localized vertical velocity fields that the aircraft is “flown” through. These velocity fields can be either linear or radial in form and may be varied in size, location, amplitude, and direction. Two examples of gust velocity fields are shown in
At the proposed cruising altitude of 80,000 feet, gust loads are relatively small. The potentially most dangerous portion of the mission profile occurs during ascent to, and decent from, cruising altitude, when aircraft 50a, b passes through more turbulent and denser layers of air. As such, all of the gust cases were evaluated at an altitude below 20,000 feet, where aircraft 50a, b is most likely to encounter a critical gust load.
As discussed above, according to an exemplary embodiment, hinge 10 can be an inflatable device, or spring, or other similar mechanism that allows omni-rotation. Hinge 10 allows a hinge vector (i.e., hinge effective line 12) to be specified, allowing the relative angles of attack between wing elements to change with joint deflection.
In order to ascertain the effect of the location and relative angle of hinge effective line 12, its location was varied from 20% to 66% of the half span, (as measured with respect to inflatable spar segment 8) and the hinge vector was varied from 10 to 45 deg.
The length of inflatable spar segment 8, according to an exemplary embodiment, measured as the length of the constant diameter section, is determined to allow a four diameter gap with a minimum three diameter insertion length. In the test setup inner spar 2b is fixed and outer spar 2a is movable by the application of a force. The force is applied at a fixed distance along outer spar 2a so that bending moment at the hinge is known. Force, deflection and inflation pressure are measured. Since wrinkle occurs at a small angle, data was obtained at small steps of deflection until past wrinkle. Although the qualitative results of the subscale inflatable hinge testing differ notably from inflatable structures theory (discussed below), the qualitative performance of the inflatable spar segment 8 test article is in keeping with expected behavior.
Data lines 60, 62, 64, and 66 represent bending moment vs. deflection angle measurements wherein inflatable spar 8 was inflated to 100 PSI, with a length of 2.5″, 5.0″, 7.5″, and 10.0″ respectively. The length of inflatable spar segment 8 at 2.5″, 5.0″, 7.5″, and 10.0″ indicates multiplies of inflatable spar segment diameters: 1, 2, 3, and 4 diameters, respectively. Data lines 52, 54, 56, and 58 represent bending moment vs. deflection angle measurements wherein inflatable spar 8 was inflated to 50 PSI, with a length of 2.5″, 5.0″, 7.5″, and 10.0″ respectively. The plot in
According to an exemplary embodiment of the present invention, one reason for the unexpected results in the actual wrinkle angles being larger than the predicted wrinkle angles is that there may have been non-bending deflections in the test setup. For example, the curves shown in
As discussed above,
The dashed horizontal lines in
While the quantitative results differed from the theory of inflatable structures, the qualitative behavior is consistent with earlier observations and experiments. The inflatable segment shows characteristics useful for a gust-alleviating wing hinge, specifically high initial stiffness and consistent restoring moment over a large angular range. The results support a simplified mathematical model for hinges of this type, consisting of two linear segments corresponding to pre- and post-buckle. These characteristics are easily tailored for desired values of initial stiffness and final moment and are capable of repeated large deflections without damage. The advantages of a wing that can deflect and restore itself repeatedly, cannot be overstated. It provides aircraft designers with significant advantages over any known prior art design. According to an exemplary embodiment, deflection of a wing before buckling (i.e., on the steeper part of the applied moment vs. deflection angle curves (
The ASWing® software program was also used to perform dynamic, coupled aero-structures simulations to assess the feasibility/performance of the experimental structure concept compared to a baseline conventional structure. The hinged configuration with inflatable spar segments experienced significantly reduced wing bending moments through a variety of gust scenarios, while remaining passively stable and automatically returning to the pre-buckle 1 G condition. Only the tailed configuration was examined during this phase of the project.
Conventionally winged aircraft 90 enter the gust in wings-level 1 g flight (
Hinged aircraft 50b enters the gust in wings-level 1 g flight (
Additionally,
As briefly discussed above, according to an exemplary embodiment, the placement of effective hinge line 12, and the angle it forms on wing 28, affects the recovery of outer panel 28a following deformation. Therefore, experiments were conducted to optimize the hinge configuration, as illustrated in
To estimate the ply distribution for the hybrid spar, local spar cap ply counts were scaled from the baseline using the ratio of bending moments depicted in
According to a preferred embodiment, the hybrid spar embodiment (line 80) was shown to reduce the required structural mass by nearly 28% compared to the baseline rigid carbon spar embodiment (line 82). This figure includes an approximation of the additional mass required for the hybrid spar elements including, inflatable spar segment 8, hinge 10, inflatable spar segment bladder, bladder feed line, and air compressor, which amounts to about 9 lbs. For aircraft 50 considered in this study, this 28% savings in spar mass amounts to an approximately 4.5% reduction in total aircraft mass. For an aircraft with about a 10% payload fraction, utilizing this hybrid spar concept can increase payload capacity by approximately 50%, or with a fixed payload, there could be a significant reduction in vehicle size and gross weight.
The analysis and test results discussed above in detail show that the hybrid spar concept (i.e., use of inflatable spar segment 8 in an otherwise rigid main spar 2) provides for a reduction in wing structural mass fraction. Spar mass savings are realizable, according to an exemplary embodiment, without incurring significant mass penalties for the technology itself, due to the simplicity of the system, requiring only short inflatable spar segments 8 themselves. The graceful handling of buckling means the aircraft designer is freed from having to design spar structures to meet peak gust loads.
The inflatable hybrid spar concept also has the significant benefit that it is self-recovering, without requiring any external action or “intelligence.” While the analysis case chosen showed the hybrid spar reduced loads by about ⅓ compared to the baseline, it is interesting to note that while more severe gusts would increase the loading on the baseline rigid aircraft, the moment limiting nature of the hybrid spar would likely subject that aircraft to little or no additional increase in root bending moment. Furthermore, as those of ordinary skill in the art can appreciate, inflatable spar structure 8 can be further described as a pneumatic device, and therein inflatable spar structure 8 can be inflated with more than one type of gas, air included, and can also be inflated with different types of fluid, for example, a viscous oil.
As those of ordinary skill in the art can appreciate, there are alternate methods for providing flexibility between rigid spar structures so that deformation of wing panels can occur. Referring to
Hinge 10 can be replaced with a similar structure, or, as discussed above, any mechanical device that allows multi or omni-directional bending and restoration. If wing panel 28 employs omni-directional hinge 84, overload clutch 86 prevents its restoration without the application of an additional outside force. Therefore, according to an alternate embodiment, a mechanical winch or lever arm 88, or similar device, provides the force necessary to restore the wing panel portion that has deformed. Of course, effective hinge line 12 can still be employed to reduce the angle of attack on the deformed section of the wing, thereby decreasing the load that that lever arm 88 has to overcome to restore the deformed section of the wing to its normal configuration.
The present invention has been described with reference to certain exemplary embodiments thereof. However, it will be readily apparent to those skilled in the art that it is possible to embody the invention in specific forms other than those of the exemplary embodiments described above. This may be done without departing from the spirit and scope of the invention. The exemplary embodiments are merely illustrative and should not be considered restrictive in any way. The scope of the invention is defined by the appended claims and their equivalents, rather than by the preceding description.
All United States patents and applications, foreign patents, and publications discussed above are hereby incorporated herein by reference in their entireties.
The present application claims priority under 35 U.S.C. § 119(e) to U.S. Provisional Patent Application Ser. No. 60/943,740, filed Jun. 13, 2007, the entire contents of which are herein expressly incorporated by reference.
Number | Date | Country | |
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60943740 | Jun 2007 | US |