Abstract:
A system and method for analyzing a device that includes a mass configured for motion. The system includes a tri-axial accelerometer disposed to detect acceleration vectors of the device and to output three channels of acceleration data, and a user interface receiving the three channels of acceleration data. The user interface is configured to correlate the three channels of acceleration data with a reference frame defined by three orthogonal axes intersecting at a vertex, and includes a display and a selector. The display shows sets of options that represent dispositions of the device with respect to gravity, placements of the tri-axial accelerometer with respect to the device, and orientations of the tri-axial accelerometer with respect to the device. The selector selects one device disposition option, one tri-axial accelerometer placement option, and one tri-axial accelerometer orientation option.

Description:
TECHNICAL FIELD 
       [0001]    The present disclosure relates to identifying the axial orientation of a multi-axial accelerometer as it is mounted on a device to be analyzed. More particularly, the present disclosure relates to the use of indicia to identify the axial orientation of a multi-axial accelerometer as it is mounted on a device to be analyzed. 
       BACKGROUND 
       [0002]    Acceleration, i.e., the rate of change of velocity, is a vector that is defined by both direction and magnitude. Typically, the magnitude of acceleration is expressed in meters per second per second (m/s 2 ) or popularly in terms of g-force. A conventional single-axis accelerometer measures acceleration that is directed along an axis with which the single-axis accelerometer is aligned. A conventional tri-axial accelerometer measures acceleration in a three-dimensional space using orthogonally oriented sensors to define the direction of acceleration that is detected. Tri-axial accelerometers can detect acceleration and/or gravity induced reaction forces including vibration, imbalance or shock. 
         [0003]    The effects of gravity and acceleration are indistinguishable to an accelerometer. As a consequence, the output of a tri-axial accelerometer has an offset due to gravity. This means that a tri-axial accelerometer at rest on the earth&#39;s surface will indicate 1 g along a vertical direction. For the tri-axial accelerometer to measure vertical acceleration due to motion alone there must be an adjustment to compensate for the offset due to gravity. At the same time, there is no adjustment for the tri-axial accelerometer to measure horizontal acceleration due to motion. 
         [0004]    Accurate measurement of acceleration depends on the identification of the orientation of the tri-axial accelerator relative to gravity and relative to a device on which the tri-axial accelerometer is mounted. Given that a large number of options are available for mounting a tri-axial accelerometer on a device, the potential for inaccurately identifying the orientation of the tri-axial accelerometer is also large. 
     
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         [0005]      FIG. 1  is a schematic illustration of a tri-axial accelerometer according to an embodiment of the present disclosure. 
           [0006]      FIG. 2  is a schematic illustration of a device and a first set of three placements of a tri-axial accelerometer according to an embodiment of the present disclosure. 
           [0007]      FIG. 3  is a schematic illustration of a device and a second set of three placements of a tri-axial accelerometer according to an embodiment of the present disclosure. 
           [0008]      FIG. 4  is a schematic illustration of a tri-axial accelerometer including indicia according to an embodiment of the present disclosure. 
           [0009]      FIGS. 5A-5C  illustrate a method of identifying the orientation of a tri-axial accelerometer according to an embodiment of the present disclosure. 
           [0010]      FIGS. 6A and 6B  are schematic illustration of a tri-axial accelerometer accessory according to an embodiment of the present disclosure. 
           [0011]      FIGS. 7A and 7B  are schematic illustration of device and three placements of a tri-axial accelerometer according to a further embodiment of the present disclosure. 
       
    
    
     DETAILED DESCRIPTION 
       [0012]    Specific details of embodiments according to the present disclosure are described below with reference to analysis systems and methods for analyzing a device. Devices that can be analyzed according to embodiments of the present disclosure include a mass in motion. The term “motion” can encompass rotation, reciprocation, oscillation, gyration, combinations thereof, or any other continuous, alternating, periodic, and/or intermittent change to the location or arrangement of a mass. The devices can include, for example, electric motors, generators, internal combustion engines, turbines, compressors, pumps, actuators, propellers, wheels, gears, pulleys, shafts, and combinations thereof. 
         [0013]    The term “coupled” may encompass various types of relationships between two or more components or features. Further, the phrase “electrically coupled” can encompass a path conductively linking two or more components or features, the phrase “magnetically coupled” can encompass two or more components or features linked by a magnetic field, or the phrase “mechanically coupled” may encompass a physical association or structural linking of two or more components or features. Moreover, several other embodiments of the disclosure can have configurations, components, features or procedures different than those described in this section. A person of ordinary skill in the art, therefore, will accordingly understand that the disclosure may have other embodiments with additional elements, or the disclosure may have other embodiments without several of the elements shown and described below with reference to  FIGS. 1-7B . 
         [0014]      FIG. 1  is a schematic illustration of a tri-axial accelerometer  100  according to an embodiment of the present disclosure. The tri-axial accelerometer  100  can include an output port  104  disposed on a case  110 . The output port  104  can provide a first coupling portion, e.g., an electrical connector, to the tri-axial accelerometer  100 . In other embodiments, the output port  104  can include a cable hard-wired to the tri-axial accelerometer  100 , a wireless transmitter, a fiber optical connector, or any other device for conveying acceleration data from the tri-axial accelerometer  100 . The case  110  can be shaped and sized to facilitate placement on a device to be analyzed. In the embodiment shown in  FIG. 1 , the case  110  has a round first face  112  configured to facilitate mechanical coupling to the device to be analyzed, a round second face  114  spaced from the first face  112 , and a cylindrical lateral surface  116  coupling peripheral edges of the first and second faces  112  and  114 . As shown in  FIG. 1 , the output port  104  can be an electrical connector extending from the lateral surface  116 . The tri-axial accelerometer  100  can include three acceleration sensors disposed for detecting acceleration along a first orthogonal axis I, a second orthogonal axis II, and a third orthogonal axis III. In the embodiment shown in  FIG. 1 , the first face  112  is spaced from the second face  114  along one of the orthogonal axes, e.g., the third orthogonal axis III is shown in  FIG. 1 , and the second and third orthogonal axes II and III project parallel to the first and second faces  112  and  114 . In  FIG. 1 , the axes I, II and III illustrate an orthogonal, three-axis reference frame of the tri-axial accelerometer  100 . According to other embodiments, accelerometers can have more or less than three sensors disposed to detect acceleration along one or more axes. Moreover, the relative angular relationship of multiple axes in other embodiments can be non-orthogonal. According to still other embodiments, the accelerometer case can have any suitable shape including rectangular, cubic, etc. 
         [0015]      FIG. 2  is a schematic illustration of a first set of three possible placements of the tri-axial accelerometer  100  for detecting axial, radial, and tangential acceleration of a device  200 . As shown in  FIG. 2 , axial acceleration can be detected along an axis A that extends parallel to a rotating shaft  202  of the device  200 , radial acceleration can be detected along an axis R that extends radially with respect to the axis A, and tangential acceleration can be detected along an axis T that extends orthogonally with respect to the axes A and R. In the embodiment of the present disclosure shown in  FIG. 2 , the device  200  can be an electric motor, another device that similarly includes a mass rotating on a shaft, or any device that includes a mass in motion. 
         [0016]    The device  200  can include an axial-end surface  204  and an axial-flank surface  206 . In the embodiment of the present disclosure shown in  FIG. 2 , the axial-end and axial-flank surfaces  204  and  206  can be portions of a housing, stator, or another portion of the device  200  that is relatively stationary with respect to the rotating shaft  202 . As it is used in the present disclosure, the term “flank” can encompass a part or place identified by its location or position with respect to a center. As shown in  FIG. 2 , axial axis A extends through the axial-end surface  204  and the axial-flank surface  206  surrounds, e.g., circumscribes, axial axis A. According to other embodiments in which the tri-axial accelerometer  100  can be placed on a rotating portion of the device  200 , e.g., the shaft  202 , a wireless transmitter can be used to output acceleration data from the tri-axial accelerometer  100 . 
         [0017]    Continuing to refer to  FIG. 2 , a first placement P 1 ( 1 ) of the tri-axial accelerometer  100  with respect to the device  200  is on the axial-end surface  204 . As it is used in the present disclosure, the terms “place” or “placement” refer to a mechanical coupling between the tri-axial accelerometer  100 , e.g., the first face  112 , and the device  200 . Second and third placements P 2 ( 1 ) and P 3 ( 1 ) of the tri-axial accelerometer  100  are on the axial-flank surface  206 . The second placement P 2 ( 1 ) is on top of the device  200  and the third placement P 3 ( 1 ) is to the side of the device  200 . At the first placement P 1 ( 1 ), the first orthogonal axis I maps to the radial axis R, the second orthogonal axis II maps to the tangential axis T, and the third orthogonal axis III maps to the axial axis A. In the present disclosure, the terms “map,” “maps” and “mapping” refer to a spatial relation such that each axis of a given set, e.g., orthogonal axes, is associated with an axis of another set, e.g., directional axes. For the first placement P 1 ( 1 ), the orthogonal axes I-III map to the directional axes RTA, respectively. At the second placement P 2 ( 1 ), the first orthogonal axis I maps to the tangential axis T, the second orthogonal axis II maps to the axial axis A, and the third orthogonal axis III maps to the radial axis R. Therefore, the orthogonal axes I-III map to the directional axes TAR, respectively, for the second placement P 2 ( 1 ). At the third placement P 3 ( 1 ), the first orthogonal axis I maps to the radial axis R, the second orthogonal axis II maps to the axial axis A, and the third orthogonal axis III maps to the tangential axis T. Therefore, the orthogonal axes I-III map to the directional axes RAT, respectively, for the third placement P 3 ( 1 ). According to other embodiments, nomenclature systems other “R,” “A” and “T” can be used. Other suitable nomenclature systems can include, for example, “x,” “y” and “z” or “1,” “2” and “3.” 
         [0018]      FIG. 3  is a schematic illustration, similar to  FIG. 2 , of a second set of three possible placements of the tri-axial accelerometer  100  for detecting axial, radial, and tangential acceleration of the device  200 . As shown in  FIG. 3 , however, the orthogonal axes of the tri-axial accelerometer  100  are oriented differently with respect to the directional axes of the device  200 , such as would occur when the tri-axial accelerometer  100  is turned before being placed on the device  200 . Thus, in the embodiment of the present disclosure shown in  FIG. 3 , at a first placement P 1 ( 2 ) of the tri-axial accelerometer  100  with respect to the device  200 , the first orthogonal axis I maps to the tangential axis T, the second orthogonal axis II maps to the radial axis R, and the third orthogonal axis III maps to the axial axis A. Therefore, the orthogonal axes I-III map to the directional axes TRA, respectively, for the first placement P 1  ( 2 ). At the second placement P 2 ( 2 ), the first orthogonal axis I maps to the axial axis A, the second orthogonal axis II maps to the tangential axis T, and the third orthogonal axis III maps to the radial axis R. Therefore, the orthogonal axes I-III map to the directional axes ATR, respectively, for the second placement P 2 ( 2 ). At the third placement P 3 ( 2 ), the first orthogonal axis I maps to the axial axis A, the second orthogonal axis II maps to the radial axis R, and the third orthogonal axis III maps to the tangential axis T. Therefore, the orthogonal axes I-III map to the directional axes ART, respectively, for the third placement P 3 ( 2 ). 
         [0019]      FIGS. 2 and 3  illustrate that the different placements of the tri-axial accelerometer  100  on the device  200  change how the orthogonal axes map to the directional axes. As such, the number of placement possibilities increases the opportunities to incorrectly identify the axial, radial and tangential accelerations. 
         [0020]      FIG. 4  is a schematic illustration of a tri-axial accelerometer  100  including first indicia  300  and second indicia  400  according to an embodiment of the present disclosure. In the present disclosure, the term “indicia” is used as the plural form of “indicium,” which can encompass a sign indicating the presence or nature of something. 
         [0021]    The first indicia  300  are configured to map orthogonal axes of the tri-axial accelerometer  100  to the directional axes of the device  200 . The first indicia  300  uses three identifiers: a first identifier  A  is associated with the axial axis A of the device  200 , a second identifier  R  is associated with the radial axis R of the device  200 , and a third identifier T is associated with the tangential axis T of the device  200 . The first indicia  300  includes sequences of the first, second and third identifiers  A ,  R  and  T . and each sequence is an ordered triplet of the three identifiers, with each of the first, second and third identifiers  A ,  R  and  T  occurring once in each ordered triplet. Thus, according to an embodiment of the present disclosure, there are six possible ordered sequences:  ART ,  ATR ,  RAT ,  RTA ,  TAR  and  TRA . According to other embodiments of the present disclosure, identifiers can include alternative alpha-numeric characters, symbols, colors, or other markings or indications that can be combined in sequences of ordered triplets. 
         [0022]    The second indicia  400  are configured to represent placements of the tri-axial accelerometer  100  on the device  200 . The second indicia  400  can include first and second schematics  402  and  404 . According to the embodiment of the present disclosure shown in  FIG. 4 , the first schematic  402  represents a placement of the tri-axial accelerometer  100  on the axial-end surface  204  of the device  200 , and the second schematic  404  represents a placement of the tri-axial accelerometer  100  on the axial-flank surface  206  of the device  200 . Other embodiments can use additional or different schematics, schematics that indicate the direction of gravity, and/or schematics that differentiate between axial-flank surface placements that are on the top or to the side of the device  200 . 
         [0023]    Continuing to refer to  FIG. 4 , pairings  500  of a first indicium (i.e., one of the first indicia  300 ) and a second indicium (i.e., one of the second indicia  400 ) are disposed at a plurality of locations on the case  110  of the tri-axial accelerometer  100 . In the present disclosure, reference numbers  300 ,  400  and  500  generically refer to the first indicia, second indicia and pairings, respectively, whereas lower case letters a, b, c, . . . are appended to the generic reference numbers to particular identify a first indicium, a second indicium, and a pair, respectively. Thus, a first pair  500   a  includes a first indicium  300   a  and a second indicium  400   a.  According to the embodiment of the present disclosure shown in  FIG. 4 , the first indicium  300   a  is the sequence  RAT  and the second indicium  400   a  is the second schematic  404  such that the first pair  500   a  is the combination of  RAT  and the second schematic  404 . Similarly, a second pair  500   b  is the combination of  RTA  and the first schematic  402 , i.e., the first indicium  300   b  is the sequence  RTA  and the second indicium  400   b  is the first schematic  402 . Continuing, a third pair  500   c  is the combination of  TRA  and the first schematic  402 , i.e., the first indicium  300   c  is the sequence  TRA  and the second indicium  400   c  is the first schematic  402 . The first, second and third pairs  500   a,    500   b  and  500   c  are disposed at locations on the second face  114  of the case  110 . 
         [0024]    As shown in  FIG. 4 , the first schematic  402  is shared by the pairs  500   c - 500   e,  and the pairs  500   a  and  500   f - 500   h  have individual second schematics  404 . In other embodiments, the pairs  500   a  and  500   f - 500   h  can share a single schematic and the pairs  500   b - 500   e  can have individual schematics, or a sub-set of the pairs  500   a - 500   h  can share single schematics while another sub-set of the pairs  500   a - 500   h  can have individual schematics. The first and second schematics  402  and  404  can be grouped as shown in  FIG. 4  with the inwardly located pairs  500   b - 500   e  including the second schematics  404  and the outwardly located pairs  500   a  and  500   f - 500   h  including the first schematics  402 . In other embodiments according to the present disclosure, the locations of pairs disposed along the same diameter of the second face  114  can be interchanged provided that the attitude of the first indiciums are maintained. As it is used in the present disclosure, the term “attitude” can encompass the angular disposition of the first indicium relative to the case  110 . Possible attitudes according to the present disclosure can include right-side-up, sideways, and inverted. As shown in  FIG. 4 , the pairs  500   a  and  500   b  are right-side-up, the pairs  500   c,    500   e,    500   f  and  500   h  are sideways, and the pairs  500   d  and  500   g  are inverted. 
         [0025]    With additional reference to  FIG. 5A , ninth and tenth pairs  500   i  and  500   j  are disposed at a location on the lateral surface  116  of the case  110 . The ninth pair  500   i  is the combination of  ATR  and the second schematic  404 , i.e., the first indicium  300   i  is the sequence  ATR  and the second indicium  400   i  is the second schematic  404 . Similarly, the tenth pair  500   j  is the combination of  TAR  and the first schematic  402 , i.e., the first indicium  300   j  is the sequence  TAR  and the second indicium  400   j  is the first schematic  402 . According to the embodiment of the present invention shown in FIGS.  4  and  5 A- 5 C, a total of sixteen pairings  500  are disposed on the case  110 . Eight of the pairings  500  are disposed on the second face  114 , and eight pairings are disposed on the lateral surface  116 . For the sake of clarity, the first through eighth pairs  500   a - 500   h  have been described as located on the second face  114  and the ninth through sixteenth pairs  500   i - 500   p  (not all of which are particularly indicated in the figures) have been described as located on the lateral surface  116 . However, different numbering conventions can be used to designate an order of the locations at which the pairings  500  are disposed on the case  110 . According to another embodiment of the present disclosure, first three pairs  500   a - 500   c  can be disposed at locations on the second face  114 , a fourth pair  500   d  can be disposed at a location on the lateral surface  116 , any five of the remaining twelve pairs  500   e - 500   p  can be disposed at locations on the second face  114 , and the last seven of the pairs  500   e - 500   p  can be disposed at locations on the lateral surface  116 . 
         [0026]    According to one embodiment of the present disclosure, each pair  500  of the first and second indicium  300  and  400  can be disposed on a label, e.g., a substrate, which can be adhered to the case  110  of the tri-axial accelerometer  100 . According to other embodiments of the present disclosure, each pair  500  can be printed or otherwise directly marked on the case  110 , or can be engraved or otherwise formed directly on the case  110 . 
         [0027]    With reference to  FIGS. 5A-5C , the following is a description of a method of identifying the orientation of tri-axial accelerometer  100  according to an embodiment of the present disclosure. According to embodiments of the present disclosure, correctly identifying the orientation of the tri-axial accelerometer  100  with respect to the device  200  enables measurement of the acceleration vectors along the axial, radial and tangential axes A, R and T of the device  200 . The tri-axial accelerometer  100  is placed on the device  200 . The placement of the tri-axial accelerometer  100  can be on the axial-end surface  204  of the device  200  or on the axial-flank surface  206  of the device  200 . According to embodiments of the present disclosure in which the rotating shaft  202  of the device  200  extends horizontally, the placement on the axial-flank surface  206  of the device  200  can be either on top of the device  200  or on the side of the device  200 . In accordance with embodiments of the present invention, the case  110  of the tri-axial accelerometer  100  includes labels disposed at a plurality of location so the second face  114  and the lateral surface  116 . Each label includes at least one pair  500 , e.g., including one of the first indicia  300  and one of the second indicia  400 . Thus, the labels include pairings that use the first, second and third identifiers  A ,  R  and  T  to map orthogonal axes of a tri-axial accelerometer with the axial, radial and tangential axes A, R and T of the device  200  (e.g., the first indicia  300 ) and used schematics that represent placements of the tri-axial accelerometer on the device (e.g., the second indicia  400 ). According to embodiments of the present disclosure, the axial, radial and tangential axes A, R and T of the device  200  are identified based on a combination of factors that include viewing the tri-axial accelerometer  100  along a line-of-sight S and observing at least one pair  500 . The pair  500  that correctly identifies the axial, radial and tangential axes A, R and T of the device  200  includes a first indicium that has an upright attitude and includes a second indicium that matches the placement of the tri-axial accelerometer  100  on the device  200 , each as viewed along the line-of-sight S. 
         [0028]      FIGS. 6A and 6B  are schematic illustration of a tri-axial accelerometer accessory  600  according to an embodiment of the present disclosure. The accessory  600  is marked with the pairs  500   a - 500   p  and is secured, either releasably or permanently, to the tri-axial accelerometer  100 . Thus, the accessory  600  can be secured to existing tri-axial accelerometers, e.g., those that are not marked with pairings  500 . As shown in  FIGS. 6A and 6B , the accessory can be secured on the second face  114  of the tri-axial accelerometer  100 , and can have a cylindrical configuration. According to other embodiments, there can be different configurations that can be secured differently to other tri-axial accelerometers. 
         [0029]      FIGS. 7A and 7B  are schematic illustration of device and three placements of a tri-axial accelerometer  100  according to a further embodiment of the present disclosure.  FIGS. 7A and 7B  are schematic illustrations, similar to  FIGS. 2 and 3 , of a third set of three possible placements of the tri-axial accelerometer  100  for detecting axial, radial, and tangential acceleration of the device  200 . As shown in  FIG. 7A , the first placement P 1 ( 3 ) is generally similar to that of first placement P 1 ( 1 ) in  FIG. 2 . Thus, at the first placement P 1 ( 3 ), the first orthogonal axis I maps to the radial axis R, the second orthogonal axis II maps to the tangential axis T, and the third orthogonal axis III maps to the axial axis A. As shown in  FIG. 7B , however, the orthogonal axes of the tri-axial accelerometer  100  are oriented differently with respect to the directional axes of the device  200 , such as would occur when the tri-axial accelerometer  100  is turned  180  degrees relative to orientation shown in  FIG. 2  before being placed on the device  200 . Thus, in the embodiment of the present disclosure shown in  FIG. 7B , at the second placement P 2 ( 3 ), the first orthogonal axis I maps to the tangential axis T, the second orthogonal axis II maps to the axial axis A, and the third orthogonal axis III maps to the radial axis R. Therefore, the orthogonal axes I-III map to the directional axes TAR, respectively, for the second placement P 2 ( 3 ). At the third placement P 3 ( 3 ), the first orthogonal axis I maps to the radial axis R, the second orthogonal axis II maps to the axial axis A, and the third orthogonal axis III maps to the tangential axis T. Therefore, the orthogonal axes I-III map to the directional axes RAT, respectively, for the third placement P 3 ( 3 ) of the tri-axial accelerometer  100  with respect to the device  200 , the first orthogonal axis I maps to the tangential axis T, the second orthogonal axis II maps to the radial axis R, and the third orthogonal axis III maps to the axial axis A. Therefore, the orthogonal axes I-III map to the directional axes TRA, respectively, for the first placement P 1 ( 2 ). At the second placement P 2 ( 2 ), the first orthogonal axis I maps to the axial axis A, the second orthogonal axis II maps to the tangential axis T, and the third orthogonal axis III maps to the radial axis R. Therefore, the orthogonal axes I-III map to the directional axes ATR, respectively, for the second placement P 2 ( 2 ). At the third placement P 3 ( 2 ), the first orthogonal axis I maps to the axial axis A, the second orthogonal axis II maps to the radial axis R, and the third orthogonal axis III maps to the tangential axis T. Therefore, the orthogonal axes I-III map to the directional axes ART, respectively, for the third placement P 3 ( 2 ). 
         [0030]    Continuing to refer to  FIGS. 7A and 7B , a line-of-sight S for each of the placements P 1 ( 3 ) to P 3 ( 3 ). For each line-of-sight S, two pairings  500  have a first indicium  300  with an upright attitude—these two pairings  500  are indicated in the circled areas C 2 . Moreover, for each light-of-sight S, one of the two pairings  500  within the circled areas C 2  has a second indicium  400  that matches the placement of the tri-axial accelerometer  100  on the device  200 —this pairing  500  is indicated in the circled area C 1 . Accordingly, the first indicium  300  of the pairing  500  in the circled area C 1  identifies the orientation of the tri-axial accelerometer  100  with respect to the device  200 , and the makes it possible to accurately identify the axial, radial and tangential acceleration vectors measured by the tri-axial accelerometer  100 . 
         [0031]    Specific details of the embodiments of the present disclosure are set forth in the description and in the figures to provide a thorough understanding of these embodiments. A person skilled in the art, however, will understand that the invention may be practiced without several of these details or additional details can be added to the invention. Well-known structures and functions have not been shown or described in detail to avoid unnecessarily obscuring the description of the embodiments of the present disclosure. 
         [0032]    Unless the context clearly requires otherwise, throughout the description and the claims, the words “comprise”, “comprising”, and the like are to be construed in an inclusive sense, as opposed to an exclusive or exhaustive sense; that is to say, in the sense of including, but not limited to. Additionally, the words “herein”, “above”, “below”, and words of similar connotation, when used in the present disclosure, shall refer to the present disclosure as a whole and not to any particular portions of the present disclosure. Where the context permits, words in the above Detailed Description using the singular or plural number may also include the plural or singular number respectively. The word “or”, in reference to a list of two or more items, covers all of the following interpretations of the word: any of the items in the list, all of the items in the list, and any combination of the items in the list. 
         [0033]    The above detailed description of embodiments is not intended to be exhaustive or to limit the invention to the precise form disclosed above. While specific embodiments of, and examples for, the invention are described above for illustrative purposes, various equivalent modifications are possible within the scope of the invention, as those skilled in the relevant art will recognize. 
         [0034]    The teachings of the present disclosure provided herein can be applied to systems other than the analysis systems described above. The features of the various embodiments described above can be combined or altered to provide further embodiments. 
         [0035]    These and other changes can be made to the invention in light of the above Detailed Description. While the above description describes certain embodiments of the invention, and describes the best mode contemplated, no matter how detailed the above appears in text, the invention can be practiced in many ways. Details of the embodiments in the present disclosure may vary considerably in their implementation details, while still being encompassed by the invention disclosed herein. 
         [0036]    The terminology used in the Detailed Description is intended to be interpreted in its broadest reasonable manner, even though it is being used in conjunction with a detailed description of certain specific embodiments according to the present disclosure. Certain terms may even be emphasized; however, any terminology intended to be interpreted in any restricted manner will be overtly and specifically defined as such in this Detailed Description section. In general, the terms used in the following claims should not be construed to limit the invention to the specific embodiments disclosed in the present disclosure, unless the above Detailed Description section explicitly defines such terms. Accordingly, the actual scope of the invention encompasses not only the embodiments disclosed in the present disclosure, but also all equivalent ways of practicing or implementing the invention under the claims. 
         [0037]    While certain aspects of the invention are presented below in certain claim forms, the inventors contemplate the various aspects of the invention in any number of claim forms. Accordingly, the inventors reserve the right to add additional claims after filing the application to pursue such additional claim forms for other aspects of the invention.