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An acoustic damping device is provided that includes a resonating tube defining a resonating cavity with a predetermined characteristic length and a tube end defining a cavity opening, as well as a case configured to reversibly secure the tube end in fluidic communication with a fluid volume enclose

An acoustic damping device is provided that includes a resonating tube defining a resonating cavity with a predetermined characteristic length and a tube end defining a cavity opening, as well as a case configured to reversibly secure the tube end in fluidic communication with a fluid volume enclosed by a liner. The cavity opening is connected with the resonating cavity. The case includes a vented ferrule adpressed over a perforated region of the liner. The vented ferrule defines a ferrule opening that is aligned with the perforated region of the liner and the cavity opening to form the fluidic communication between the fluid volume and the resonating cavity.

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1. An acoustic damping device comprising: a resonating tube defining a resonating cavity with a predetermined characteristic length, and a tube end defining a cavity opening, said cavity opening connected with said resonating cavity; anda case configured to reversibly secure said tube end in fluidic

1. An acoustic damping device comprising: a resonating tube defining a resonating cavity with a predetermined characteristic length, and a tube end defining a cavity opening, said cavity opening connected with said resonating cavity; anda case configured to reversibly secure said tube end in fluidic communication with a fluid volume enclosed by a liner, said case comprising a vented ferrule adpressed over a perforated region of said liner, said vented ferrule defining a ferrule opening, wherein said perforated region of said liner, said ferrule opening, and said cavity opening are aligned to form said fluidic communication between said fluid volume and said resonating cavity. 2. An acoustic damping device in accordance with claim 1, wherein said resonating tube is selected from a plurality of interchangeable resonating tubes with different predetermined characteristic lengths. 3. An acoustic damping device according to claim 2, wherein said plurality of interchangeable resonating tubes comprise predetermined characteristic lengths ranging from about 2.5 cm to about 38 cm. 4. An acoustic damping device according to claim 1, wherein said case further comprises a bias member coupled to said vented ferrule, said bias member configured to maintain said vented ferrule adpressed over said perforated region. 5. An acoustic damping device according to claim 1, wherein said case further comprises a fastener fitting configured to reversibly couple to a corresponding fastener portion of said resonating tube to reversibly secure said cavity opening of said tube end in fluidic communication with said fluid volume enclosed by said liner. 6. An acoustic damping device according to claim 1, wherein said vented ferrule opening flares from a first radius adjacent to said cavity opening to a second radius adjacent to said perforated region, said second radius being larger than said first radius. 7. An acoustic damping device according to claim 1, wherein said perforated region comprises a plurality of openings, said plurality of openings comprise from about 10 openings to about 30 openings, each said opening comprising an opening radius ranging from about 20 mm to about 60 mm. 8. A method of damping pressure fluctuations within a fluid volume enclosed by a liner, the method comprising: forming a perforated region through the liner, the perforated region comprising a plurality of openings between an outer surface of the liner and an inner surface of the liner adjacent the fluid volume;coupling an acoustic damping device to the outer surface aligned with the perforated region, the acoustic damping device comprising a case and a resonating tube including a resonating cavity formed of a predetermined characteristic length and a first end defining a cavity opening;adpressing the case to the outer surface over the perforated region, the case comprising a vented ferrule defining a ferrule opening; andcoupling the first end to the case, with the perforated region, the ferrule opening, and the cavity opening aligned to form a fluidic communication between the fluid volume and the resonating chamber. 9. A method in accordance with claim 8, further comprising selecting the resonating tube from a plurality of interchangeable resonating tubes, each of the plurality of interchangeable resonating tubes having different predetermined characteristic lengths ranging from about 2.5 cm to about 38 cm. 10. A method in accordance with claim 9, wherein selecting the interchangeable resonating tube from the plurality of interchangeable resonating tubes further comprises selecting the interchangeable resonating tube having the predetermined characteristic length that approximately equals a quarter wavelength of the pressure fluctuations within the fluid volume. 11. A method in accordance with claim 8, further comprising adjusting the damping of the pressure fluctuations within the fluid volume by: decoupling the tube end from the case;selecting a second resonating tube with a second characteristic length different from the corresponding characteristic length of the resonating tube; andcoupling a second tube end of the second resonating tube to the case, wherein the second resonating tube is selected to match the second characteristic length to the quarter wavelength of the pressure fluctuations. 12. A method in accordance with claim 11, where adjusting the damping of the pressure fluctuations within the fluid volume further comprises: forming at least one additional perforated region through the liner; andinstalling an additional acoustic damping device comprising an additional case and an additional resonating tube over each of the at least one additional perforated regions. 13. A method according to claim 12, wherein installing an additional acoustic damping device over each of the at least one additional perforated regions comprises coupling each additional tube end of each additional resonating tube to each additional case, wherein each additional resonating tube comprises an additional characteristic length matched to the characteristic length of the resonating tube or at least a portion of the additional resonating tubes comprises at least one additional characteristic length different from the characteristic length of the resonating tube. 14. A method according to claim 8, wherein forming the perforated region through the liner further comprises forming the plurality of openings comprising from about 10 openings to about 30 openings, each opening comprising an opening radius ranging from about 20 mm to about 60 mm. 15. A method according to claim 8, further comprising maintaining the vented ferrule adpressed against the perforated region with a bias member provided within the case of the acoustic damping device. 16. A method according to claim 8, wherein forming at least one additional perforated region through the liner further comprises forming the at least one additional perforated region distributed at a single streamwise position of the liner or distributed at multiple streamwise positions of the liner, wherein the liner encloses a fluid flow moving in a streamwise direction. 17. A gas turbine engine comprising a combustor coupled in flow communication with a compressor, said combustor comprising a combustor liner including at least one plurality of openings in a perforated region, said combustor liner enclosing a combustion zone, said combustor comprising at least one acoustic damping device, each said acoustic damping device attached over each corresponding plurality of openings of said at least one plurality of openings, each acoustic damping device comprising: a resonating tube defining a resonating cavity with a predetermined characteristic length, said resonating tube comprising an open tube end; anda case configured to reversibly secure said open tube end in fluidic communication with said combustion region, said case comprising a vented ferrule adpressed over one perforated region of said combustor liner, said vented ferrule defining a ferrule opening, wherein said one perforated region of said liner, said ferrule opening, and said open tube end are aligned to form said fluidic communication between said combustion zone and said resonating chamber. 18. A gas turbine engine in accordance with claim 17, wherein each said resonating tube is selected from a plurality of interchangeable resonating tubes with different predetermined characteristic lengths, said plurality of interchangeable resonating tubes comprising predetermined characteristic lengths ranging from about 2.5 cm to about 38 cm. 19. A gas turbine engine according to claim 17, wherein said at least one acoustic damping device comprises two or more acoustic damping devices circumferentially distributed around said combustor liner at similar streamwise locations of said combustion zone. 20. A gas turbine engine according to claim 17, wherein said at least one acoustic damping device comprises two or more acoustic damping devices distributed at different streamwise locations of said combustion zone.