The present subject matter relates generally to a system and method for controlling a robotic arm through an environment.
At least certain gas turbine engines include, in serial flow arrangement, a compressor section including a low pressure compressor and a high-pressure compressor for compressing air flowing through the engine, a combustor for mixing fuel with the compressed air such that the mixture may be ignited, and a turbine section including a high pressure turbine and a low pressure turbine for providing power to the compressor section.
Throughout the life of the gas turbine engine, it generally becomes necessary to inspect and/or repair one or more components of the gas turbine engine. Traditionally, the gas turbine engine must be uninstalled from a wing of an aircraft with which it is utilized and/or disassembled to expose the part needing inspection and/or repair. However, such may be a relatively costly and time consuming process.
Accordingly, robotic arms, may be used to inspect and/or repair certain components within the gas turbine engine without necessitating an un-installation or disassembly of the gas turbine engine. Traditionally, these robotic arms determine the path along which it travels incrementally as it passes through an environment, such as the gas turbine engine. However, the inventors of the present disclosure have discovered that such a control methodology may result in a difficulty in achieving certain task-based processes. Accordingly, an improved method for controlling a robotic arm would be useful.
Aspects and advantages of the invention will be set forth in part in the following description, or may be obvious from the description, or may be learned through practice of the invention.
In one exemplary aspect of the present disclosure a method for controlling a robotic arm assembly through an environment is provided. The robotic arm assembly includes a robotic arm, a base, and a utility member, the robotic arm extending between a root end attached to the base and a distal end including the utility member. The method includes: determining a position of the base, the root end, or both relative to the environment; determining a task position and orientation for the utility member within the environment; determining a three-dimensional constraint of the environment; and determining a path for the robotic arm through the environment based on each of the position of the base, the root end, or both relative to the environment, the task position and orientation for the utility member within the environment, and the three-dimensional constraint of the environment.
In certain exemplary aspects the method further includes directing the robotic arm through the environment along the path determined for the robotic arm through the environment.
For example, in certain exemplary aspects directing the robotic arm through the environment along the path determined for the robotic arm includes directing the robotic arm through the environment along the path using a tip following sequence.
In certain exemplary aspects the environment is a gas turbine engine, and wherein determining the three-dimensional constraint of the environment includes determining the three-dimensional constraint the environment using a three-dimensional electronic representation or model of the gas turbine engine.
In certain exemplary aspects the method further includes determining a set of operability limitations of the robotic arm, and wherein determining the path for the robotic arm through the environment includes determining the path for the robotic arm through the environment further based on the set of operability limitations of the robotic arm.
For example, in certain exemplary aspects determining the set of operability limitations of the robotic arm includes determining a set of joint limitations of the robotic arm, a set of geometric limitations for a plurality of segments of the robotic arm, or both.
In certain exemplary aspects the determined task position and orientation for the utility member is a first task position and orientation for the utility member, wherein the path for the robotic arm through the environment is a first path for the robotic arm through the environment. With such an exemplary aspect, the method may further include determining a second task position and orientation for the utility member within the environment; and determining a second path for the robotic arm through the environment based on each of the position of the base, the root end, or both relative to the environment, the second task position and orientation for the utility member within the environment, and the three-dimensional constraint of the environment.
For example, in certain exemplary aspects, the method may further include determining a transitional movement of the robotic arm from the first path to the second path.
For example, in certain exemplary aspects determining the transitional movement of the robotic arm from the first path to the second path includes interpolating one or more transitional paths between the first path and the second path.
For example, in certain exemplary aspects the first task position and orientation for utility member within the environment is a starting point of a task, and wherein the second task position and orientation for the utility member within the environment is an ending point of the task.
In certain exemplary aspects the path for the robotic arm through the environment includes a plurality of sequential vectors for the robotic arm to follow.
In another exemplary aspect of the present disclosure, a computer implemented method for controlling a robotic arm assembly through a gas turbine engine is provided. The robotic arm assembly includes a robotic arm, a base, and a utility member, the robotic arm extending between a root end attached to the base and a distal end including the utility member. The method includes: determining, by one or more computing devices, a position of the base, the root end, or both relative to the gas turbine engine; determining, by the one or more computing devices, a task position and orientation for the utility member within the gas turbine engine; determining, by the one or more computing devices, a three-dimensional constraint of the gas turbine engine; and determining, by the one or more computing devices, a path for the robotic arm through the gas turbine engine based on each of the position of the base, the root end, or both relative to the gas turbine engine, the task position and orientation for the utility member within the gas turbine engine, and the three-dimensional constraint of the gas turbine engine.
In certain exemplary aspects, the method may further include directing, by the one or more computing devices, the robotic arm through the gas turbine engine along the path determined for the robotic arm through the gas turbine engine.
In certain exemplary aspects determining, by the one or more computing devices, the three-dimensional constraint of the gas turbine engine includes determining, by the one or more computing devices, the three-dimensional constraint the gas turbine engine using a CAD file of the gas turbine engine.
In certain exemplary aspects, the method may further include determining, by the one or more computing devices, a set of operability limitations of the robotic arm, and wherein determining, by the one or more computing devices, the path for the robotic arm through the gas turbine engine includes determining, by the one or more computing devices, the path for the robotic arm through the gas turbine engine further based on the set of operability limitations of the robotic arm.
For example, in certain exemplary aspects determining, by the one or more computing devices, the set of operability limitations of the robotic arm includes determining, by the one or more computing devices, a set of joint limitations of the robotic arm, a set of geometric limitations for a plurality of segments of the robotic arm, or both.
For example, in certain exemplary aspects the determined task position and orientation for the utility member is a first task position and orientation for the utility member, wherein the path for the robotic arm through the environment is a first path for the robotic arm through the gas turbine engine. With such an exemplary aspect, the method may further include: determining, by the one or more computing devices, a second task position and orientation for the utility member within the gas turbine engine; and determining, by the one or more computing devices, a second path for the robotic arm through the gas turbine engine based on each of the position of the base, the root end, or both relative to the gas turbine engine, the second task position and orientation for the utility member within the gas turbine engine, and the three-dimensional constraint of the gas turbine engine.
For example, in certain exemplary aspects the method further includes determining, by the one or more computing devices, a transitional movement of the robotic arm from the first path to the second path.
In another exemplary embodiment of the present disclosure, a robotic arm assembly is provided. The robotic arm assembly includes a base; a utility member; a robotic arm extending between a root end and a distal end, the root end of the robotic arm coupled to the base and the distal end including the utility member; and a controller operable with the base, the robotic arm, or both. The controller includes one or more processors and memory, the memory storing data, the data including instructions that when executed by the one or more processors cause the robotic arm assembly to perform functions. The functions include: determining a position of the base, the root end, or both relative to an environment; determining a task position and orientation for the utility member within the environment; determining a three-dimensional constraint of the environment; and determining a path for the robotic arm through the environment based on each of the position of the base, the root end, or both relative to the environment, the task position and orientation for the utility member within the environment, and the three-dimensional constraint of the environment.
In certain exemplary aspects the instructions further include directing the robotic arm through the environment along the path determined for the robotic arm through the environment.
These and other features, aspects and advantages of the present invention will become better understood with reference to the following description and appended claims. The accompanying drawings, which are incorporated in and constitute a part of this specification, illustrate embodiments of the invention and, together with the description, serve to explain the principles of the invention.
A full and enabling disclosure of the present invention, including the best mode thereof, directed to one of ordinary skill in the art, is set forth in the specification, which makes reference to the appended Figs., in which:
Reference will now be made in detail to present embodiments of the invention, one or more examples of which are illustrated in the accompanying drawings. The detailed description uses numerical and letter designations to refer to features in the drawings. Like or similar designations in the drawings and description have been used to refer to like or similar parts of the invention.
As used herein, the terms “first”, “second”, and “third” may be used interchangeably to distinguish one component from another and are not intended to signify location or importance of the individual components.
The terms “forward” and “aft” refer to relative positions within a gas turbine engine or vehicle, and refer to the normal operational attitude of the gas turbine engine or vehicle. For example, with regard to a gas turbine engine, forward refers to a position closer to an engine inlet and aft refers to a position closer to an engine nozzle or exhaust.
The terms “upstream” and “downstream” refer to the relative direction with respect to fluid flow in a fluid pathway. For example, “upstream” refers to the direction from which the fluid flows, and “downstream” refers to the direction to which the fluid flows.
The terms “coupled,” “fixed,” “attached to,” and the like refer to both direct coupling, fixing, or attaching, as well as indirect coupling, fixing, or attaching through one or more intermediate components or features, unless otherwise specified herein.
The singular forms “a”, “an”, and “the” include plural references unless the context clearly dictates otherwise.
Approximating language, as used herein throughout the specification and claims, is applied to modify any quantitative representation that could permissibly vary without resulting in a change in the basic function to which it is related. Accordingly, a value modified by a term or terms, such as “about”, “approximately”, and “substantially”, are not to be limited to the precise value specified. In at least some instances, the approximating language may correspond to the precision of an instrument for measuring the value, or the precision of the methods or machines for constructing or manufacturing the components and/or systems. For example, the approximating language may refer to being within a 10 percent margin.
Here and throughout the specification and claims, range limitations are combined and interchanged, such ranges are identified and include all the sub-ranges contained therein unless context or language indicates otherwise. For example, all ranges disclosed herein are inclusive of the endpoints, and the endpoints are independently combinable with each other.
Referring now to the drawings, wherein identical numerals indicate the same elements throughout the Figs.,
The exemplary turbomachine 16 depicted is generally enclosed within a substantially tubular outer casing 18 that defines an annular inlet 20 and an annular exhaust 21. The outer casing 18 encases, in serial flow relationship, a compressor section including a booster or low pressure (LP) compressor 22 and a high pressure (HP) compressor 24; a combustion section 26; a turbine section including a high pressure (HP) turbine 28 and a low pressure (LP) turbine 30; and a jet exhaust nozzle section 32. A high pressure (HP) shaft or spool 34 drivingly connects the HP turbine 28 to the HP compressor 24. A low pressure (LP) shaft or spool 36 drivingly connects the LP turbine 30 to the LP compressor 22. The compressor section, combustion section 26, turbine section, and nozzle section 32 together define a core air flowpath 37 therethrough.
For the embodiment depicted, the fan section 14 includes a fixed pitch fan 38 having a plurality of fan blades 40. The fan blades 40 are each attached to a disk 42, with the fan blades 40 and disk 42 together rotatable about the longitudinal axis 12 by the LP shaft 36. For the embodiment depicted, the turbofan engine 10 is a direct drive turbofan engine, such that the LP shaft 36 drives the fan 38 of the fan section 14 directly, without use of a reduction gearbox. However, in other exemplary embodiments of the present disclosure, the fan 38 may instead be a variable pitch fan, and the turbofan engine 10 may include a reduction gearbox, in which case the LP shaft 36 may drive the fan 38 of the fan section 14 across the gearbox.
Referring still to the exemplary embodiment of
It should be appreciated, however, that the exemplary turbofan engine 10 depicted in
Referring now to
As is depicted, the LP compressor 22 includes a plurality of stages of LP compressor rotor blades 60, which are configured to rotate about the axial direction A of the turbofan engine 10 (i.e., along the circumferential direction C) during operation of the turbofan engine 10. More specifically, for the embodiment depicted in
Referring now to
Further, referring particularly to the robotic arm 104, each segment 108 may be movable relative to a forward-adjacent segment 108 (i.e., a segment 108 immediately forward of the segment 108/towards the distal end 112) and aft-adjacent segment 108 (i.e., a segment 108 immediately aft of the segment 108/towards the root end 110) along at least two degrees of operation, as is depicted to form the two-dimensional shape of the robotic arm 104 in
It will be appreciated, that in at least certain exemplary embodiments, the one or more motors 106 of the base 102 may generally pull on various wires (not shown) extending through the robotic arm 104 and terminating at individual segments 108 of the robotic arm 104. By pulling on these various wires, the one or more motors 106 of the base 102 may control a movement of the segments 108 of the robotic arm 104. However, in other embodiments, any other suitable configuration may be provided for controlling the robotic arm 104.
Notably, the robotic arm 104 defines a set of operability limitations. For example, referring briefly to
Notably, the robotic arm 104 may further define additional sets of operability limitations. For example, the robotic arm 104 may define load limitations (e.g., an amount of weight the robotic arm 104 may carry for a given distance from the base 102), torque limitations, etc. Further, the operability limitations of the robotic arm 104 may include information regarding available movement of the base 102 and/or root end 110 of the robotic arm 104. For example, as is discussed below, the base 102 and/or root end 110 of the robotic arm 104 may be mounted on another robot or joint(s) that allow for the modification of a position and/or an orientation of the base 102 and/or root end 110 of the robotic arm 104 (e.g., one or both may be moveable along one or more of the longitudinal direction L1, lateral direction L2, and vertical direction V, and/or moveable about one or more of the longitudinal direction L1, lateral direction L2, and/or vertical direction V. Such may increase an operability of the robotic arm 104.
Referring back particularly to
As is also depicted in
The controller 124 generally includes a network interface 126. The network interface 126 may be operable with any suitable wired or wireless communications network for communicating data with other components of, e.g., the robotic arm assembly 100, and/or other components or systems not depicted. As depicted using phantom lines in
It will be appreciated, of course, that although the network interface 126 utilizes the wireless communication network 128 for the embodiment of
Referring still to
The instructions within the data 134 can be any set of instructions that when executed by the one or more processor(s) 130, cause the one or more processor(s) 130 to perform operations. In certain exemplary embodiments, the instructions within the data 134 can be software written in any suitable programming language or can be implemented in hardware. Additionally, and/or alternatively, the instructions can be executed in logically and/or virtually separate threads on processor(s) 130. The memory device(s) 132 can further store other data 134 that can be accessed by the processor(s) 130.
Referring now to
The utility head 122 of the robotic arm assembly 100 depicted is in a particular position and orientation to perform a task (i.e., a “task position and orientation”). For example, the exemplary LP compressor rotor blade 60 of
Referring now to
More specifically, it will be appreciated that for the exemplary embodiment depicted in
Additionally, a task position and orientation 152 for the utility member of the robotic arm 104 within the environment 148 is known. The task position and orientation 152 may similarly be input into the controller 124, or alternatively may be determined, e.g., as a result of an inspection of the environment 148. For example, the controller 124 may note a defect through an inspection of the environment 148, and automatically determine a task position and orientation for the utility head 122 of the robotic arm assembly 100. Further, a three-dimensional constraint of the environment 148 is known. The three-dimensional constraint the environment 148 may be determined by the controller 124 using, e.g., a three-dimensional electronic representation or model of the environment 148. For example, the controller 124 may use a computer-aided design (“CAD”) file, and/or may determine the three-dimensional constraint through inspection or scan of the environment 148. Notably, for the embodiment depicted, the environment 148 may be similar to, e.g., the LP compressor 22 described above with reference to, e.g.,
Further, still, a set of operability limitations of the robotic arm 104 is known (based on an input to the controller 124, or, e.g., by sensing the operability of the robotic arm 104).
Based on the above factors, the robotic arm assembly 100, and more specifically, the controller 124 the robotic arm assembly 100, is configured to determine the path 150 for the robotic arm 104 through the environment 148 for positioning the utility implement 122 of the robotic arm 104 in the determined task position and orientation 152 within the environment 148. For example, the path 150 may be determined by starting with the known task position and orientation 152, and subsequently constraining the path 150 based on the three-dimensional constraints of the environment 148, the set of operability limitations of the robotic arm 104, and the position of the base 102, the root end 110, or both relative to the environment 148.
With such an approach, the path 150 may be determined with the end goal of positioning the utility member in the desired task position and orientation 152 as a key parameter. Such is an improvement over simply determining the path 150 for the robotic arm 104 in real time as the robotic arm 104 is guided through the environment 148, as it may result in a more efficient path 150 for the robotic arm 104, while ensuring the desired task is achievable by planning the path 150 based on the known task position and orientation 152.
Notably, the path 150 determined for the robotic arm 104 may include a plurality of sequential coordinates (e.g., X1, Y1, Z1; X2, Y2, Z2; X3, Y3, Z3; etc., or rather A1, R1, C1; A2, R2, C2; A3, R3, C3; etc.) for the robotic arm to follow within the three-dimensional environment 148. Additionally, it should be appreciated that the path 150 may also include orientation information for the robotic arm 104 at these positions (and/or between these positions) within the three-dimensional environment 148. The orientation information may include angular information for the links 108 of the robotic arm 104 at each of the coordinates relative to each axis of the coordinate system of the environment 148 (e.g., relative to the axial direction A, radial direction R, and circumferential direction C), such that the path 150 includes information for up to six degrees of movement along some or all of the path 150. For example, if a tool or utility member 122 at the distal end of the robotic arm 104 has a greater extent in one dimension than another (e.g., taller than it is wide), it may further be necessary to ensure the robotic arm 104 moves through the three dimensional environment 148 with the appropriate orientation, in addition to the appropriate position. Accordingly, it will be appreciated that in at least certain exemplary aspects of the present disclosure, determining the path 150 may include determining the path 150 further in view of certain dimensions of the utility member 122 and/or an orientation of the base 102, root end 110, or both (in addition to its position).
Further, referring now briefly to
Further, referring now to
It will be appreciated that the second path 150B depicted in
Notably, it may be desirable for the robotic arm 104 to move directly from the first path 150A to the second path 150B, instead of backing out the robotic arm 104 to where the two paths 150A, 150B overlap. In order to do so, for the embodiment depicted, the controller 124 of the robotic arm assembly 100 may determine a transitional movement of the robotic arm 104 from the first path 150A to the second path 150B, and more specifically, may determine the transitional movement by interpolating one or more transitional paths between the first path 150A the second path 150B.
For example, referring to
It should be appreciated that by interpolating the intermediate path(s) to determine the transitional movement of the robotic arm 104 from the first path 150A to the second path 150B, the robotic arm assembly 100 may relatively smoothly and efficiently move from the first task position and orientation 152A to the second task position and orientation 152B.
Referring now to
The method 200 generally includes at (202) determining a position of the base, the root end, or both relative to the environment. As will be appreciated, in at least certain exemplary aspects, determining the position of the base, the root end, or both relative to the environment at (202) may further include at (203) determining the position and an orientation of the base, the root end, or both relative to the environment. For example, the base and/or root end of the robotic arm may be mounted on another robot or joint(s) that allow for the modification of a position and/or an orientation of the base and/or root end of the robotic arm. With such an exemplary aspect, the position and/or orientation of the base or root end may be communicated to a controller of the robotic arm assembly, or may be controlled by the controller of the robotic arm assembly (and therefore known by the controller).
Additionally, the method 200 includes at (204) determining a task position and orientation for the utility member within the environment. The task position and orientation may generally define a location and, e.g., an angular orientation for the utility member within the environment to facilitate the utility member performing certain operations. For example, the task position and orientation may be a task position and orientation to allow the utility member to, e.g., direct a laser drill towards a component to, e.g., drill a hole in the component. Additionally, or alternatively, the task position and orientation may be a position and orientation for the utility member within the environment allow the utility member to, e.g., weld a component within the environment, cut a component within the environment, etc.
The method 200 further includes at (206) determining a three-dimensional constraint of the environment. As discussed above in at least certain exemplary aspects, the environment may be a gas turbine engine. With such an exemplary aspect, determining the three-dimensional constraint of the environment at (206) may include determining the three-dimensional constraint of the environment, and more specifically may include at (208) determining the three-dimensional constraint of the environment using a computer-aided design (“CAD”) file of the gas turbine engine. However, in other exemplary aspects, any other suitable means may be utilized for determining the three-dimensional constraint for the environment. For example, in other exemplary embodiments, determining the three-dimensional constraint for the environment at (206) may include scanning or inspecting the environment using one or more optical sensors or other sensors.
Referring still to
Further, the exemplary method 200 includes at (214) determining a path for the robotic arm through the environment based on each of the position of the base of the robotic arm relative to the environment determined at (202), the task position and orientation for utility member within the environment determined at (204), and the three-dimensional constraint of the environment determined at (206). More specifically, for the exemplary aspect depicted, determining the path for the robotic arm to the environment at (214) further includes at (215) determining the path for the environment further based on the set of operability limitations of the robotic arm determined at (210). In at least certain exemplary aspects, the path for the robotic arm through the environment may include a plurality of sequential vectors for the robotic arm to follow.
For example, determining the path at (214) may include determining a plurality of sequential coordinates (e.g., X1, Y1, Z1; X2, Y2, Z2; X3, Y3, Z3; etc.) for the robotic arm to follow within the three-dimensional environment. Additionally, it should be appreciated that determining the path at (214) may include determining orientation information for the robotic arm at these positions (and/or between these positions) within the three-dimensional environment. The orientation information may include angular information for the links of the robotic arm at each of the coordinates relative to each axis of the coordinate system of the environment, such that the path includes information for up to six degrees of freedom along some or all of the path. For example, if a tool at the distal end of the robotic arm has a greater extent in one dimension than another (e.g., taller than it is wide), it may further be necessary to ensure the robotic arm moves through the three dimensional environment with the appropriate orientation, in addition to the appropriate position.
Notably, by determining the path for the robotic arm through the environment based on the parameters discussed, including the task position and orientation for the utility member within the environment, a more efficient path may be determined for the robotic arm. More specifically, by determining the path for the robotic arm based on the resulting task position and orientation for the utility member may ensure a path for the robotic arm appropriate for the desired task is determined.
The method 200 further includes, for the exemplary aspect depicted, controlling the snake arm based on the determined path for the snake arm at (214). More specifically, for the exemplary aspect depicted, the method 200 includes at (216) directing the robotic arm tthrough the environment along the path determined for the robotic arm at (214). More specifically, for the exemplary aspect depicted, directing the robotic arm through the environment along the path determined for the robotic arm at (216) includes at (218) directing the robotic arm through the environment along the path using a tip following sequence. As will be appreciated, directing the robotic arm through the environment along the path using a tip following sequence at (218) may include controlling the robotic arm link-by-link, or alternatively by controlling several links as a unit (i.e., a section of the arm as one) to provide for greater degrees of freedom, and/or greater bend angles, than a single joint possesses. Further, it should be appreciated, that in certain exemplary aspects, determining the path at (214) may include determining the path prior to directing the robotic arm through the environment at (216).
In at least certain exemplary aspects, such as the exemplary aspect of the method 200 depicted in
The method 200 further includes at (222) determining a second path for the robotic arm through the environment based on each of the position of the base, the root end, or both relative to the environment, the second task position and orientation the utility member within the environment, and the three-dimensional constraint of the environment. Moreover, the method 200 includes at (224) determining a transitional movement of the robotic arm on the first path to the second path. For the exemplary aspect depicted, determining the transitional movement of the robotic arm from the first path to the second path at (224) includes at (226) interpolating one or more transitional paths between the first path and the second path.
It will be appreciated that in at least certain exemplary aspects, the method 200 may be a computer-implemented method. In such exemplary aspects the above-described steps may be performed by one or more computing devices, such as by the controller 124 described above with reference to
It will also be appreciated, that although for the exemplary embodiments and aspects described herein, the “environment” through which the exemplary robotic arms extend is described as a gas turbine engine, such as a turbomachine of a gas turbine engine, in other exemplary embodiments and aspects, the exemplary robotic arms described herein may extend through other suitable environments. For example, utilizing the systems and methods described herein, robotic arms may extend through hazardous environments, such as may be found in the nuclear industry, oil drilling industry, etc. Other environments are contemplated as well.
This written description uses examples to disclose the invention, including the best mode, and also to enable any person skilled in the art to practice the invention, including making and using any devices or systems and performing any incorporated methods. The patentable scope of the invention is defined by the claims, and may include other examples that occur to those skilled in the art. Such other examples are intended to be within the scope of the claims if they include structural elements that do not differ from the literal language of the claims, or if they include equivalent structural elements with insubstantial differences from the literal languages of the claims.
Number | Name | Date | Kind |
---|---|---|---|
4118220 | von Dreusche, Jr. | Oct 1978 | A |
4260941 | Engelberger et al. | Apr 1981 | A |
4613269 | Wilder | Sep 1986 | A |
4615729 | Victorovich | Oct 1986 | A |
4620362 | Reynolds | Nov 1986 | A |
4706324 | Goodspeed | Nov 1987 | A |
4764883 | Nakagawa et al. | Aug 1988 | A |
4831549 | Red et al. | May 1989 | A |
4937759 | Vold | Jun 1990 | A |
4975856 | Vold | Dec 1990 | A |
5041907 | Sager | Aug 1991 | A |
5237468 | Ellis | Aug 1993 | A |
5310248 | King | May 1994 | A |
5443354 | Stone | Aug 1995 | A |
5488277 | Nishikawa et al. | Jan 1996 | A |
5542650 | Abel | Aug 1996 | A |
5912403 | Bilke | Jun 1999 | A |
6165411 | Adachi | Dec 2000 | A |
6240342 | Fiegert et al. | May 2001 | B1 |
6579091 | Simonen | Jun 2003 | B1 |
6941191 | Jaeger | Sep 2005 | B2 |
7039499 | Nasr | May 2006 | B1 |
7171279 | Buckingham | Jan 2007 | B2 |
7327869 | Boyer | Feb 2008 | B2 |
7409263 | Elliott | Aug 2008 | B2 |
7765780 | Koselka | Aug 2010 | B2 |
7784348 | Dubois | Aug 2010 | B2 |
7891325 | Koskela | Feb 2011 | B2 |
8219246 | Buckingham et al. | Jul 2012 | B2 |
8340820 | Nair | Dec 2012 | B2 |
8352074 | Guochunxu et al. | Jan 2013 | B2 |
8374722 | Buckingham | Feb 2013 | B2 |
8930042 | Jang | Jan 2015 | B2 |
8972057 | Freeman | Mar 2015 | B1 |
9020636 | Tadayon | Apr 2015 | B2 |
9043030 | Choi et al. | May 2015 | B2 |
9327401 | Xiao | May 2016 | B2 |
9539726 | Simaan | Jan 2017 | B2 |
9687983 | Prats | Jun 2017 | B1 |
9804593 | Davis | Oct 2017 | B1 |
9873230 | DesJardien | Jan 2018 | B1 |
10019566 | Gallagher | Jul 2018 | B1 |
20010056313 | Osborne, Jr. | Dec 2001 | A1 |
20020181650 | D'Ambrosio | Dec 2002 | A1 |
20030212505 | Rojas | Nov 2003 | A1 |
20030217706 | Pingel | Nov 2003 | A1 |
20030229420 | Buckingham | Dec 2003 | A1 |
20040177722 | Halpin | Sep 2004 | A1 |
20040179924 | Lundahl | Sep 2004 | A1 |
20050126144 | Koselka | Jun 2005 | A1 |
20060101996 | Paxton | May 2006 | A1 |
20060218680 | Bailey, III | Sep 2006 | A1 |
20060269387 | Yamaguchi | Nov 2006 | A1 |
20070000117 | Brandstatter | Jan 2007 | A1 |
20070006658 | Kennedy | Jan 2007 | A1 |
20070272130 | Eriksson | Nov 2007 | A1 |
20080087302 | Koskela | Apr 2008 | A1 |
20080282486 | Pingel | Nov 2008 | A1 |
20090118864 | Eldridge | May 2009 | A1 |
20110106306 | Kim | May 2011 | A1 |
20110169202 | Rosner | Jul 2011 | A1 |
20110172818 | Kim | Jul 2011 | A1 |
20110224688 | Larkin | Sep 2011 | A1 |
20110295427 | Motzer | Dec 2011 | A1 |
20120145682 | Yeum | Jun 2012 | A1 |
20120152877 | Tadayon | Jun 2012 | A1 |
20120271501 | Zhao | Oct 2012 | A1 |
20130014600 | Sarr | Jan 2013 | A1 |
20130231777 | Salamanca | Sep 2013 | A1 |
20130261876 | Froom | Oct 2013 | A1 |
20150032387 | Froom | Jan 2015 | A1 |
20150128717 | May | May 2015 | A1 |
20150134191 | Kim | May 2015 | A1 |
20150323501 | Smith | Nov 2015 | A1 |
20160011593 | Oberoi | Jan 2016 | A1 |
20160016312 | Lawrence, III | Jan 2016 | A1 |
20170080569 | Kell | Mar 2017 | A1 |
20170151027 | Walker | Jun 2017 | A1 |
20170190052 | Jaekel | Jul 2017 | A1 |
20170239762 | Roberts | Aug 2017 | A1 |
20170268342 | Roberts | Sep 2017 | A1 |
20180003488 | Hastilow | Jan 2018 | A1 |
20180066544 | Heason | Mar 2018 | A1 |
20180099409 | Meier | Apr 2018 | A1 |
20180147720 | Kell | May 2018 | A1 |
20190054637 | Asada | Feb 2019 | A1 |
Number | Date | Country |
---|---|---|
107234617 | Oct 2017 | CN |
1862876 | Dec 2007 | EP |
Entry |
---|
European Search Report Corresponding to Application No. 19175355 dated Oct. 18, 2019. |
Canadian Office Action Corresponding to Application No. 2042730 dated Aug. 12, 2020. |
Dong et al., “Development of a slender continuum robotic system for on-wing inspection/repair of gas turbine engines”, Robotics and Computer Integrated Manufacturing, vol. 44, Sep. 29, 2016. |
Sciavicco et al, “Solving the Inverse Kinematic Problem for Robotic manipulators” In: “RoManSy 6”, Jan. 1, 1987, Boston, XP055762444, pp. 107-114. |
Number | Date | Country | |
---|---|---|---|
20190358813 A1 | Nov 2019 | US |