Not applicable.
Not applicable.
Workpieces, such as, but not limited to, gears, may be exposed to loads that exceed material limits of the workpieces. In some cases, repeated or cyclic exposure to loads may lead to fatigue failure of a workpiece, especially when a workpiece is exposed to loads of vastly different directional components.
In some embodiments of the disclosure, a method of modifying a workpiece is disclosed as comprising providing a workpiece, determining a load stress profile associated with a load condition, the load stress profile comprising a load stress greater than a material stress limit of the workpiece, determining a residual stress profile, the residual stress profile comprising a residual stress less than the material stress limit of the workpiece, and providing the workpiece with the residual stress profile, wherein a sum of the load stress and the residual stress is less than the material stress limit of the workpiece.
In other embodiments of the disclosure, an apparatus is disclosed as comprising processor configured to determine a tensile limit curve of the workpiece as a function of a dimension of the workpiece, determine a compressive limit curve of the workpiece as a function of the dimension of the workpiece, determine a tensile load stress profile associated with a tensile load condition, the tensile load stress profile comprising a tensile load stress curve as a function of the dimension of the workpiece, determine a compressive load stress profile associated with a compressive load condition, the compressive load stress profile comprising a compressive load stress curve as a function of the dimension of the workpiece, and determine a residual stress profile, the residual stress profile comprising a residual stress curve as a function of the dimension of the workpiece, wherein a summation of the residual stress curve and the tensile load stress curve is less than the tensile limit curve of the workpiece along the dimension, and wherein a summation of the residual stress curve and the compressive load stress curve is greater than the compressive limit curve along the dimension.
In yet other embodiments of the disclosure, an apparatus is disclosed as comprising a processor and a memory coupled to the processor, wherein the memory comprises instructions that cause the processor to determine a first contact stress associated with a mesh point of a tooth of a gear, determine a first bending stress associated with a root of the tooth, determine a first residual stress to the gear as a function of the first contact stress, and provide a second residual stress as a function of the first bending stress.
For a more complete understanding of the present disclosure and the advantages thereof, reference is now made to the following brief description, taken in connection with the accompanying drawings and detailed description:
It should be understood at the outset that although an illustrative implementation of one or more embodiments are provided below, the disclosed systems and/or methods may be implemented using any number of techniques, whether currently known or in existence. The disclosure should in no way be limited to the illustrative implementations, drawings, and techniques illustrated below, including the exemplary designs and implementations illustrated and described herein, but may be modified within the scope of the appended claims along with their full scope of equivalents.
In some cases, it may be desirable to improve a workpiece, such as, but not limited to, a load bearing component, by making the workpiece more resistant to failure as a result of deformation, internal restructuring, and/or fatigue. In some embodiments of the disclosure, systems and methods are disclosed that comprise determining a stress or stress profile that a workpiece may experience when exposed to a load or load profile and thereafter providing the workpiece with a residual stress or residual stress profile as a function of the stress or the stress profile so that the workpiece service life and/or strength may be improved.
Referring now to
The method 100 may begin at block 102 by determining workpiece tensile limits. Most generally, the term tensile may refer to workpiece strength limits as a load is generally applied to the workpiece in a first direction. In some embodiments, the workpiece tensile limits may be determined as a function of the material composition of the workpiece, the structure and/or shape of the workpiece, a working temperature of an environment in which the workpiece is anticipated to be utilized, a working temperature of the workpiece, and any already applied material treatment processes applied to the workpiece. In some cases, the workpiece tensile limits may be obtained from a manufacturer provided specification of the workpiece. In other cases, the tensile limits may be experimentally obtained through laboratory testing of a substantially identical workpiece. Regardless the method of obtaining the tensile limits of the workpiece, in some embodiments the workpiece tensile limits may be represented as a plot or curve of the maximum principal stress (as measured in pressure per square inch (psi) versus a dimension of the workpiece. In some cases, the tensile limit values may be plotted versus a depth below an outer surface of a tooth root 202 of the gear 200. As shown in
The method 100 may continue at block 104 by determining workpiece compressive limits. Most generally, the term compressive may refer to workpiece strength limits as a load is generally applied in a second direction that is generally opposed and/or opposite to the first direction. In some embodiments, the workpiece compressive limits may be determined as a function of the material composition of the workpiece, the structure and/or shape of the workpiece, a working temperature of an environment in which the workpiece is anticipated to be utilized, a working temperature of the workpiece, and any already applied material treatment processes applied to the workpiece. In some cases, the workpiece compressive limits may be obtained from a manufacturer provided specification of the workpiece. In other cases, the compressive limits may be experimentally obtained through laboratory testing of a substantially identical workpiece. Regardless of the method of obtaining the compressive limits of the workpiece, in some embodiments the workpiece compressive limits may be represented as a plot or curve of the maximum principal stress (as measured in psi) versus a dimension of the workpiece. In some cases, the compressive limit values may be plotted versus a depth below an outer surface of a tooth root 202 of the gear 200. As shown in
The method 100 may continue at block 106 by determining a tensile load stress profile of the workpiece. More specifically, a known or anticipated load or combination of loads may be experimentally applied to the workpiece and/or applied to the workpiece through modeling via finite element analysis (whether computerized or otherwise) to determine a tensile load stress profile for the workpiece under the tensile load conditions. In some embodiments, the workpiece tensile load stress profile may be determined as a function of the material composition of the workpiece, the structure and/or shape of the workpiece, a working temperature of an environment in which the workpiece is anticipated to be utilized, a working temperature of the workpiece, and any already applied material treatment processes applied to the workpiece. In some cases, the workpiece tensile load stress profile may be obtained from a manufacturer provided specification of the workpiece. In other cases, the workpiece tensile load stress profile may be experimentally obtained through laboratory testing of a substantially identical workpiece. Regardless of the method of obtaining the workpiece tensile load stress profile of the workpiece, in some embodiments the workpiece tensile load stress profile may be represented as a plot or curve of the maximum principal stress (as measured in psi) versus a dimension of the workpiece. In some cases, the workpiece tensile load stress profile may be plotted versus a depth below the outer surface of the tooth root 202 of the gear 200. As shown in
The method 100 may continue at block 108 by determining a compressive load stress profile of the workpiece. More specifically, a known or anticipated load or combination of loads may be experimentally applied to the workpiece and/or applied to the workpiece through modeling via finite element analysis (whether computerized or otherwise) to determine a compressive load stress profile for the workpiece under the compressive load conditions. In some embodiments, the workpiece compressive load stress profile may be determined as a function of the material composition of the workpiece, the structure and/or shape of the workpiece, a working temperature of an environment in which the workpiece is anticipated to be utilized, a working temperature of the workpiece, and any already applied material treatment processes applied to the workpiece. In some cases, the workpiece compressive load stress profile may be obtained from a manufacturer provided specification of the workpiece. In other cases, the workpiece compressive load stress profile may be experimentally obtained through laboratory testing of a substantially identical workpiece. Regardless of the method of obtaining the workpiece compressive load stress profile of the workpiece, in some embodiments the workpiece compressive load stress profile may be represented as a plot or curve of the maximum principal stress (as measured in psi) versus a dimension of the workpiece. In some cases, the workpiece compressive load stress profile may be plotted versus a depth below the outer surface of the tooth root 202 of the gear 200. As shown in
The method 100 may continue at block 110 by determining a residual stress profile or residual stress curve 310 that when added to the workpiece tensile load stress curve 306, yields a resultant tensile stress curve 312 that does not exceed the workpiece tensile limit curve 302. In some embodiments, a residual stress curve 310 may be selected to produce a resultant tensile stress curve 312 that comprises a safe strength margin or offset between the resultant tensile stress curve 312 and the workpiece tensile load stress curve 306. In such cases, when the workpiece or gear 200 is provided with a residual stress curve 310 that suitably enables accommodation of the tensile load conditions described above, the workpiece will not deform in response to the application of the tensile load condition. However, the residual stress curve 310 must also be selected so that when a compressive load condition (such is sometimes the case in a gear 200 experiencing cyclical loading and/or directional changes in loading), a resultant compressive stress curve 314, defined as the summation of the residual stress curve 310 and the workpiece compressive load stress curve 308, does not exceed the workpiece compressive limit curve 304. If the compressive stress curve 314 exceeds the workpiece compressive limit curve 304, the workpiece may deform, or in the least, internally reconfigure to alter any previously provided residual stress designed to accommodate and/or offset the tensile load conditions.
The method 100 may progress to block 112 where the determined residual stress curve 310 is imparted to or provided to the workpiece or gear 200. In some embodiments, the residual stress curve 310 may be provided to the workpiece or gear 200 through any of the above-described workpiece treatment methods. However, in some embodiments, cavitation peening, laser peening, and/or low plasticity burnishing may be utilized where greater control or an ability to apply such treatments to only a relatively small selected portion of a workpiece or gear 200 is desired.
Referring now to
Still further, while method 100 is described as generating residual stress profiles as a function of depth of a workpiece, in alternative embodiments, the method 100 may be generalized and configured to provide residual stress profiles as a function of a variation in surface location along a predetermined translational path of the workpiece, such as a path along an external surface of the workpiece. For example, a predetermined external surface path of the workpiece may be defined and the residual stress profile may be provided as a function of the predetermined external surface path with the depth along the predetermined external surface path being a constant. Alternatively, in some embodiments, a two or three dimensional matrix, a spreadsheet, a computer model, and/or any other suitable manner of accommodating complex multidimensional data sets may be utilized so that a residual stress profile is not restricted to being applied to a particular selected location of a workpiece or gear 200. Rather, the residual stress profile may represent a complete or partial solution for a three dimensional space of the workpiece or gear 200. Accordingly, by generalizing the method 100, a particular workpiece may be evaluated for use in a predetermined set of loading conditions and thereafter may be treated so that, as a function of determining a residual stress solution for the workpiece (potentially as a whole) and providing the workpiece with the residual stress profile, the workpiece is optimized for exposure to the predetermined set of loading conditions and the life of the workpiece may be lengthened.
At least one embodiment is disclosed and variations, combinations, and/or modifications of the embodiment(s) and/or features of the embodiment(s) made by a person having ordinary skill in the art are within the scope of the disclosure. Alternative embodiments that result from combining, integrating, and/or omitting features of the embodiment(s) are also within the scope of the disclosure. Where numerical ranges or limitations are expressly stated, such express ranges or limitations should be understood to include iterative ranges or limitations of like magnitude falling within the expressly stated ranges or limitations (e.g., from about 1 to about 10 includes, 2, 3, 4, etc.; greater than 0.10 includes 0.11, 0.12, 0.13, etc.). For example, whenever a numerical range with a lower limit, Rl, and an upper limit, Ru, is disclosed, any number falling within the range is specifically disclosed. In particular, the following numbers within the range are specifically disclosed: R=Rl+k*(Ru−Rl), wherein k is a variable ranging from 1 percent to 100 percent with a 1 percent increment, i.e., k is 1 percent, 2 percent, 3 percent, 4 percent, 5 percent, . . . , 50 percent, 51 percent, 52 percent, . . . , 95 percent, 96 percent, 97 percent, 98 percent, 99 percent, or 100 percent. Unless otherwise stated, the term “about” shall mean plus or minus 10 percent of the subsequent value. Moreover, any numerical range defined by two R numbers as defined in the above is also specifically disclosed. Use of the term “optionally” with respect to any element of a claim means that the element is required, or alternatively, the element is not required, both alternatives being within the scope of the claim. Use of broader terms such as comprises, includes, and having should be understood to provide support for narrower terms such as consisting of, consisting essentially of, and comprised substantially of. Accordingly, the scope of protection is not limited by the description set out above but is defined by the claims that follow, that scope including all equivalents of the subject matter of the claims. Each and every claim is incorporated as further disclosure into the specification and the claims are embodiment(s) of the present invention.
This invention was made with Government support under Agreement No. W911W6-10-2-0007 for Future Advanced Rotorcraft Drive System (FARDS). The Government has certain rights in the invention.
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