STRUCTURAL STRESS ANALYSIS
First Claim
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1. A method of analyzing structural stress σ
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s in a fatigue-prone region of a structure, said method comprising;
determining a stress distribution σ
x(y) along a selected cross section of said structure;
determining a first component σ
M of said structural stress σ
s in said fatigue-prone region by performing an operation having a result substantially equivalent to a result of the following first integration where σ
x(y) represents said through-thickness stress distribution and t corresponds to a thickness of said structure;
determining a second component σ
B of said structural stress σ
s in said fatigue-prone region by performing an operation having a result substantially equivalent to a solution of the following equation for σ
B or, its mathematical equivalent where y corresponds to a position along said selected cross section, t corresponds to a thickness of said structure, and σ
x(y) represents said through-thickness stress distribution; and
calculating said structural stress σ
s by combining said first component σ
M of said structural stress and said second component σ
B of said structural stress.
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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.
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Citations
8 Claims
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1. A method of analyzing structural stress σ
-
s in a fatigue-prone region of a structure, said method comprising;
determining a stress distribution σ
x(y) along a selected cross section of said structure;
determining a first component σ
M of said structural stress σ
s in said fatigue-prone region by performing an operation having a result substantially equivalent to a result of the following first integrationwhere σ
x(y) represents said through-thickness stress distribution and t corresponds to a thickness of said structure;
determining a second component σ
B of said structural stress σ
s in said fatigue-prone region by performing an operation having a result substantially equivalent to a solution of the following equation for σ
Bor, its mathematical equivalent where y corresponds to a position along said selected cross section, t corresponds to a thickness of said structure, and σ
x(y) represents said through-thickness stress distribution; and
calculating said structural stress σ
s by combining said first component σ
M of said structural stress and said second component σ
B of said structural stress. - View Dependent Claims (2, 3, 4, 5)
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s in a fatigue-prone region of a structure, said method comprising;
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6. A method of analyzing structural stress σ
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s in a fatigue-prone region of a structure, said method comprising;
determining a stress distribution σ
x(y) along a selected cross section of said structure;
determining a first component σ
M of said structural structural stress σ
s in said fatigue-prone region by performing an operation having a result substantially equivalent to a result of the following first integrationwhere σ
x(y) represents said through-thickness stress distribution and t corresponds to the thickness of said structure;
determining a second component σ
B of said structural stress σ
s in said fatigue-prone region by performing an operation having a result substantially equivalent to a solution of the following equation for σ
Bwhere 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, σ
x(y) represents said through-thickness stress distribution, and τ
xy(y) represents a through-thickness shear stress distribution of said structure; and
calculating said structural stress σ
s by combining said first component σ
M of said structural stress and said second component σ
B of said structural stress. - View Dependent Claims (7, 8)
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s in a fatigue-prone region of a structure, said method comprising;
Specification