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US 9,201,417 B2Granted
Method of manufacturing an elongate component
AssigneeAirbus Operations GmbH
InventorsWei-Ming Sim, Oluwamayokun Adetoro, Pihua Wen
Life of this patent
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Abstract
A method of manufacturing an elongate element (10) using a punching operation assumes a polynomial relationship between punch depth (dpunch) and neutral axis, with the constants being a polynomial function of plastic deformation of the beam. Using finite element analysis, a relationship between the required plastic deformation, the second moment of area of the element and the neutral axis of the element can be derived.
Claims9
A method of manufacturing an elongate component comprising:
- providing a punching apparatus configured to apply a differential contact three point bending load to the elongate component by advancing a punch by a punch travel dpunch at a punch location between two discrete supports by a punch distance,
- calculating the punch travel dpunch based on a second moment of inertia Ixx of the elongate component at the punch location, the location of the neutral axis Y of the elongate component at the punch location, and a desired plastic deformation dplastic of the component at the punch location, wherein second moment of inertia Ixx, the neutral axis Y and the desired plastic deformation dplastic are related as follows:
- d
- plastic
- I
- xx
- =
- ∑
- i
- =
- 0
- n
-
- B
- i
-
- Y
- i
- wherein Bi is calculated based on the following relationship:
- B
- i
- =
- ∑
- i
- =
- 1
- m
-
- BB
- ij
-
- (
- d
- punch
- -
- d
- elastic
- )
- j
- where BBij are constants, delastic is an elastic punch limit of the elongate component.
37 more elements
A method of manufacturing an elongate component comprising:
- providing a punching apparatus configured to apply a differential contact three point bending load to the elongate component by advancing a punch at a punch location between two discrete supports by a punch distance;
- calculating analytically an elastic punch limit delastic;
- calculating a punch travel dpunch based on the second moment of inertia of the elongate component at the punch location Ixx, the location of the neutral axis of the elongate component at the punch location Y and the required plastic deformation dplastic of the component at the punch location, and bending the elongate component at the punch location by moving the punch by the punch travel dpunch,
- the punch travel dpunch is calculated assuming the required plastic deformation dplastic is related to the second moment of inertia of the elongate component at the punch location Ixx, and the neutral axis distance at the punch location Y by an nth order polynomial of the form:
- d
- plastic
- I
- xx
- =
- ∑
- i
- =
- 0
- n
-
- B
- i
-
- Y
- i
- wherein Bi is calculated based on the following relationship:
- B
- i
- =
- ∑
- i
- =
- 0
- m
-
-
- BB
- ij
-
- (
- d
- punch
- -
- d
- plastic
- )
- j
- where BBij are constants, delastic is an elastic punch limit of the elongate component.
40 more elements
A method of manufacturing an elongate component comprising:
- providing a punching apparatus configured to apply a differential contact three point bending load to the elongate component by advancing a punch at a punch location between two discrete supports by a punch distance,
- calculating a punch travel dpunch based on the second moment of inertia of the elongate component at the punch location Ixx, the location of the neutral axis of the elongate component at the punch location Y and the required plastic deformation dplastic of the component at the punch location, wherein the punch travel is calculated assuming the required plastic deformation dplastic is related to the second moment of inertia of the elongate component at the punch location Ixx, and the neutral axis distance at the punch location Y by an nth order polynomials of the form:
- d
- plastic
- I
- xx
- =
- ∑
- i
- =
- 0
- n
-
- B
- i
-
- Y
- i
- B
- i
- =
- ∑
- i
- =
- 1
- m
-
- BB
- ij
-
- (
- d
- punch
- -
- d
- elastic
- )
- j
- where Bij are constants, delastic is an elastic punch limit of the elongate component, and n and m both equal two, where Bi are functions of the punch travel dpunch, and
- bending the elongate component at the punch location by moving the punch by the punch travel dpunch.
37 more elements
A method of manufacturing an elongate component comprising:
- providing a punching apparatus configured to apply a differential contact three point bending load to the elongate component by advancing a punch at a punch location between two discrete supports by a punch distance,
- calculating a punch travel dpunch is calculated from the expression:
- d
- punch
- =
- [
- (
- ±
- [
- I
- xx
-
- (
- BB
- 1
-
- b
-
- Y
- 2
- +
- BB
- 2
-
- b
-
- Y
- +
- BB
- 3
-
- b
- )
- 2
- +
- 4
-
- I
- xx
-
- d
- plastic
-
- (
- BB
- 1
-
- a
-
- Y
- 2
- +
- BB
- 2
-
- a
-
- Y
- +
- BB
- 3
-
- a
- )
- ]
- -
- [
- BB
- 1
-
- b
-
- Y
- 2
- +
- BB
- 2
-
- b
-
- Y
- +
- BB
- 3
-
- b
- ]
-
- I
- xx
- )
- 2
-
- I
- xx
-
- (
- BB
- 1
-
- a
-
- Y
- 2
- +
- BB
- 2
-
- a
-
- Y
- +
- BB
- 3
-
- a
- )
- ]
- -
- d
- elastic
- wherein, Ixx is a second moment of inertia of the elongate component at punch location, Y is a location of a neutral axis of the elongate component at the punch location, dplastic is the required plastic deformation of the elongate component at the punch location, and BB1a, BB1b, BB2a, BB2b, BB3a and BB3b are constants, and
- bending the elongate component at the punch location by moving the punch by the punch travel dpunch.
120 more elements
Dependencies are inferred from the claim text.