Structural stress analysis
AssigneeBattelle Memorial Institute
InventorsPingsha Dong, Jinmiao Zhang, Jeong Hong
Life of this patent
Estimating the term…
Abstract
Structural stress in a fatigue-prone region of a structure is determined and analyzed by using: i) the nodal forces and displacement values in the fatigue-prone region, or ii) equilibrium equivalent simple stress states consistent with elementary structural mechanics in the fatigue-prone region. Of course, it is contemplated that combinations, equivalents, or variations of the recited bases may alternatively be employed.
Claims8
A method of analyzing structural stress σs in a fatigue-prone region of a structure, said method comprising:
- determining a stress distribution σx(y) along a selected cross section of said structure;
- determining a first component σM of said structural stress σs in said fatigue-prone region by performing an operation having a result substantially equivalent to a result of the following first integration
- σ
- M
- =
- 1
- t
-
- ∫
- 0
- t
-
- σ
- X
-
- (
- y
- )
-
-
- ⅆ
- y
- where σx(y) represents said through-thickness stress distribution and t corresponds to a thickness of said structure;
- determining a second component σB of said structural stress σs in said fatigue-prone region by performing an operation having a result substantially equivalent to a solution of the following equation for σB
- (
- t
- 2
- 2
- )
-
- σ
- M
- +
- (
- t
- 2
- 6
- )
-
- σ
- B
- =
- ∫
- 0
- t
-
- σ
- X
-
- (
- y
- )
-
- y
-
-
- ⅆ
- y
- or, its mathematical equivalent
- σ
- B
- =
- 6
- t
- 2
-
- ∫
- 0
- t
-
- σ
- X
-
- (
- y
- )
-
- (
- y
- -
- t
- 2
- )
-
-
- ⅆ
- y
- where y corresponds to a position along said selected cross section, t corresponds to a thickness of said structure, and σx(y) represents said through-thickness stress distribution;
- and
- calculating said structural stress σs by combining said first component σM of said structural stress and said second component σB of said structural stress.
A method of analyzing structural stress σs in a fatigue-prone region of a structure, said method comprising:
- determining a stress distribution σx(y) along a selected cross section of said structure;
- determining a first component σM of said structural structural stress σs in said fatigue-prone region by performing an operation having a result substantially equivalent to a result of the following first integration
- σ
- M
- =
- 1
- t
-
- ∫
- 0
- t
-
- σ
- X
-
- (
- y
- )
-
-
- ⅆ
- y
- where σx(y) represents said through-thickness stress distribution and t corresponds to the thickness of said structure;
- determining a second component σB of said structural stress σs in said fatigue-prone region by performing an operation having a result substantially equivalent to a solution of the following equation for σB
- (
- t
- 2
- 2
- )
-
- σ
- M
- +
- (
- t
- 2
- 6
- )
-
- σ
- B
- =
- ∫
- 0
- t
-
- σ
- X
-
- (
- y
- )
-
- y
-
-
- ⅆ
- y
- +
- δ
-
- ∫
- 0
- t
-
- τ
- xy
-
- (
- y
- )
-
-
- ⅆ
- y
- where y corresponds to a position along said selected cross section, t corresponds to a thickness of said structure, 6 is a value defined in said representation of said structure, σx(y) represents said through-thickness stress distribution, and τxy(y) represents a through-thickness shear stress distribution of said structure;
- and
- calculating said structural stress σs by combining said first component σM of said structural stress and said second component σB of said structural stress.
Dependencies are inferred from the claim text.