Blade rotor and fluid working machine comprising such a rotor
AssigneeFpz S.P.A.
InventorsAndrea Lazari, Andrea Cattanei, Sergio Ettore Ferigo
Life of this patent
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Abstract
A fluid working machine comprises a rotor (7) with a blading (10) comprising 40 to 65 blades that radially project out of a body central and are suitably circumferentially offset on a plane normal to the axis of symmetry of the rotor, according to an appropriate spacing rule that can eliminate or appreciably attenuate the acoustic emission components that are mostly annoying to the human ear or at frequencies close to the resonance frequencies of other parts of the working machine.
Claims12
A rotor of a fluid working machine comprising a central body with a first plurality of peripheral elements, extending radially therefrom, wherein:
- the peripheral elements of said first plurality of peripheral elements are circumferentially arranged in offset positions on a plane normal to the axis of symmetry of the rotor;
- said first plurality of peripheral elements comprises such a number Z of peripheral elements as to satisfy the following relation 40≤Z≤65 and
- said Z peripheral elements are circumferentially arranged pitchwise around the central body of said rotor in an unequally spaced arrangement, resulting in
- Δαm=(1+xm)Δα0 with m=1, . . . ,z−1,
- wherein:
- Δ
-
- α
- 0
- =
- 360
-
- °
- z
- stands for the constant offset angle of an equally spaced arrangement;
- x
- m
- =
- Δ
-
- α
- m
- Δ
-
- α
- 0
- -
- 1
- and m=1, . . . , z−1 constitute non-uniformity factors for quantifying the relative deviation of peripheral elements of the rotor with respect to an equally spaced arrangement,
- a minimum non-uniformity factor Xmin=|minm=1, . . . , z(xm)| and a maximum non-uniformity factor Xmax=maxm=1, . . . , z(xm) can be found in said arrangement of said z peripheral elements of the rotor, corresponding to the minimum and maximum possible non-uniformity factors respectively, whereby a Δαmin=(1−Xmin)Δα0 and a Δαmax=(1+Xmax)Δα0 can be defined, corresponding to a minimum angular distance and a maximum angular distance that can be found in said distribution of said Z peripheral elements respectively, so that by dividing the range Δαmin−Δαmax into i=1, 2, 3, . . . , 10 intervals having an equal amplitude of
- δ
-
- α
- =
- x
- max
- +
- x
- min
- 10
-
- Δ
-
- α
- 0
- ,
- the number of angular distances Δαm between contiguous peripheral elements in the range i−th whose amplitude is δα, ranges from
- a minimum:
- zimin=int((z−1)pimin) to
- a maximum:
- zimax=int((z−1)pimax)+1
- as determined from pimin and pimax which are minimum and maximum percentages and based on a total number of elements minus one, Z−1, where int(x) represents an integer part function and pimin and pimax are given by:
- I) if Xmax=Xmin
- 0 < Xmin <
- 0.25 ≤
- 0.25
- Xmin < 0.35
- i
- Range
- pimin
- pimax
- pimin
- pimax
- 1
- Δαmin
- Δα0 −
- 4.6%
- 7.2%
- 4.6%
- 7.2%
- 4δα
- 2
- Δα0 −
- Δα0 −
- 12.2%
- 19.1%
- 7.6%
- 12.0%
- 4δα
- 3δα
- 3
- Δα0 −
- Δα0 −
- 10.7%
- 16.7%
- 6.1%
- 9.6%
- 3δα
- 2δα
- 4
- Δα0 −
- Δα0 −
- 3.1%
- 4.8%
- 7.6%
- 12.0%
- 2δα
- δα
- 5
- Δα0 −
- Δα0
- 10.7%
- 16.7%
- 10.7%
- 16.7%
- δα
- 6
- Δα0
- Δα0 +
- 7.6%
- 12.0%
- 15.3%
- 23.9%
- δα
- 7
- Δα0 +
- Δα0 +
- 4.6%
- 7.2%
- 9.2%
- 14.4%
- δα
- 2δα
- 8
- Δα0 +
- Δα0 +
- 6.1%
- 9.6%
- 3.1%
- 4.8%
- 2δα
- 3δα
- 9
- Δα0 +
- Δα0 +
- 10.7%
- 16.7%
- 6.1%
- 9.6%
- 3δα
- 4δα
- 10
- Δα0 +
- Δαmax
- 7.6%
- 12.0%
- 7.6%
- 12.0%
- 4δα
- 0.35 ≤ Xmin < 0.45
- 0.45 ≤ Xmin < 1
- i
- pimin
- pimax
- pimin
- pimax
- 1
- 1.5%
- 2.4%
- 5.8%
- 13.8%
- 2
- 4.6%
- 7.2%
- 1.8%
- 7.9%
- 3
- 9.2%
- 14.4%
- 5.8%
- 9.9%
- 4
- 9.2%
- 14.4%
- 11.7%
- 19.7%
- 5
- 10.7%
- 16.7%
- 13.7%
- 21.6%
- 6
- 18.4%
- 28.7%
- 10.7%
- 16.7%
- 7
- 10.7%
- 16.7%
- 5.8%
- 9.9%
- 8
- 6.1%
- 9.6%
- 1.9%
- 7.9%
- 9
- 1.5%
- 7.2%
- 5.8%
- 9.9%
- 10
- 6.1%
- 9.6%
- 5.8%
- 13.8%.
- II)
- if
-
- X
- max
- ≠
- X
- min
- ,
- with
- X
- max
- =
- 29
- 11
-
- X
- min
- =
- if
- 0
- <
- X
- min
- <
- 0.25
- X
- max
- =
- 7
- 3
-
- X
- min
- if
- 0.25
- ≤
- X
- min
- <
- 0.35
- X
- max
- =
- 2
-
- X
- min
- if
- 0.35
- ≤
- X
- min
- <
- 0.45
- X
- max
- =
- 8
- 5
-
- X
- min
- if
- 0.45
- ≤
- X
- min
- <
- 1
- by
- 0 < Xmin <
- 0.25 ≤
- 0.25
- Xmin < 0.35
- i
- Range
- pimin
- pimax
- pimin
- pimax
- 1
- Δαmin
- Δα0 −
- 17.6%
- 29.5%
- 15.6%
- 29.6%
- 4δα
- 2
- Δα0 −
- Δα0 −
- 25.4%
- 33.4%
- 9.8%
- 15.7%
- 4δα
- 3δα
- 3
- Δα0 −
- Δα0 −
- 5.8%
- 11.8%
- 9.8%
- 15.7%
- 3δα
- 2δα
- 4
- Δα0 −
- Δα0 −
- 1.8%
- 7.9%
- 13.6%
- 25.5%
- 2δα
- δα
- 5
- Δα0 −
- Δα0
- 3.9%
- 9.9%
- 9.8%
- 15.7%
- δα
- 6
- Δα0
- Δα0 +
- 3.9%
- 9.9%
- 5.8%
- 11.8%
- δα
- 7
- Δα0 +
- Δα0 +
- 9.8%
- 15.7%
- 1.8%
- 7.9%
- δα
- 2δα
- 8
- Δα0 +
- Δα0 +
- 1.8%
- 7.9%
- 1.8%
- 9.9%
- 2δα
- 3δα
- 9
- Δα0 +
- Δα0 +
- 1.8%
- 7.9%
- 1.8%
- 7.9%
- 3δα
- 4δα
- 10
- Δα0 +
- Δαmax
- 1.8%
- 5.9%
- 1.8%
- 9.9%
- 4δα
- 0.35 ≤ Xmin < 0.45
- 0.45 ≤ Xmin < 1
- i
- pimin
- pimax
- pimin
- pimax
- 1
- 15.3%
- 23.9%
- 9.8%
- 17.7%
- 2
- 13.5%
- 21.6%
- 11.7%
- 19.7%
- 3
- 7.8%
- 15.7%
- 9.8%
- 17.7%
- 4
- 9.8%
- 17.7%
- 11.7%
- 21.6%
- 5
- 7.6%
- 15.7%
- 5.8%
- 13.8%
- 6
- 9.8%
- 19.7%
- 5.8%
- 11.8%
- 7
- 1.8%
- 7.9%
- 9.8%
- 17.7%
- 8
- 1.5%
- 5.9%
- 1.9%
- 7.9%
- 9
- 1.5%
- 5.9%
- 1.5%
- 5.9%
- 10
- 1.5%
- 5.9%
- 1.5%
- 5.9%.
- or alternatively by
- 0 < Xmin <
- 0.25 ≤
- 0.25
- Xmin < 0.35
- i
- Range
- pimin
- pimax
- pimin
- pimax
- 1
- Δαmin
- Δα0 −
- 22.7%
- 28.3%
- 21.4%
- 29.6%
- 4δα
- 2
- Δα0 −
- Δα0 −
- 26.2%
- 32.6%
- 9.9%
- 13.6%
- 4δα
- 3δα
- 3
- Δα0 −
- Δα0 −
- 8.7%
- 10.9%
- 9.9%
- 13.6%
- 3δα
- 2δα
- 4
- Δα0 −
- Δα0 −
- 3.5%
- 4.4%
- 18.1%
- 25.0%
- 2δα
- δα
- 5
- Δα0 −
- Δα0
- 7.0%
- 8.7%
- 9.9%
- 13.6%
- δα
- 6
- Δα0
- Δα0 +
- 7.0%
- 8.7%
- 8.2%
- 11.4%
- δα
- 7
- Δα0 +
- Δα0 +
- 12.2%
- 15.2%
- 3.3%
- 4.5%
- δα
- 2δα
- 8
- Δα0 +
- Δα0 +
- 1.8%
- 4.4%
- 1.8%
- 4.5%
- 2δα
- 3δα
- 9
- Δα0 +
- Δα0 +
- 1.8%
- 4.4%
- 1.8%
- 4.4%
- 3δα
- 4δα
- 10
- Δα0 +
- Δαmax
- 1.8%
- 4.0%
- 1.8%
- 2.3%
- 4δα
- 0.35 ≤ Xmin < 0.45
- 0.45 ≤ Xmin < 1
- i
- pimin
- pimax
- pimin
- pimax
- 1
- 15.3%
- 23.9%
- 10.7%
- 16.7%
- 2
- 13.8%
- 21.5%
- 12.2%
- 19.1%
- 3
- 9.2%
- 14.4%
- 10.7%
- 16.7%
- 4
- 10.7%
- 16.7%
- 12.2%
- 19.1%
- 5
- 7.6%
- 12.0%
- 7.6%
- 12.0%
- 6
- 12.2%
- 19.1%
- 6.1%
- 9.6%
- 7
- 4.6%
- 7.2%
- 10.7%
- 16.7%
- 8
- 1.5%
- 4.5%
- 1.5%
- 4.8%
- 9
- 1.5%
- 4.5%
- 1.5%
- 4.8%
- 10
- 1.5%
- 4.5%
- 1.3%
- 4.8%.
Dependencies are inferred from the claim text.