AA SEZC method 7.3.3.1 belleville washer design
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Abbott Aerospace – Analysis Method XL-VIKING Display Your Math in Excel Taken from: Analysis and Design of Composite and Metallic Flight Vehicle Structures Belleville Washer Design
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Transcript of AA SEZC method 7.3.3.1 belleville washer design
Abbott Aerospace – Analysis Method
XL-VIKINGDisplay Your Math in Excel
Taken from: Analysis and Design of Composite and Metallic Flight Vehicle Structures
Belleville Washer Design
Abbott Aerospace – Analysis Method
XL-VIKINGDisplay Your Math in Excel
Taken from: Analysis and Design of Composite and Metallic Flight Vehicle Structures
Belleville Washer Design
This method is taken from (NASA TM X-73305, 1975) and is a relatively simplemethod.
Belleville springs are used where space requirements dictate a short range of motion.
Abbott Aerospace – Analysis Method
XL-VIKINGDisplay Your Math in Excel
Taken from: Analysis and Design of Composite and Metallic Flight Vehicle Structures
Belleville Washer Design
The design depends on the following parameters:
𝑷 Load, lb𝜹 Deflection, in𝒕 Thickness of material, in𝒉 Free height minus thickness, in𝒂 One half of outside diameter, in𝑬 Young’s modulus, psi𝒇 Stress at Inside Circumference, psi𝒌 Ratio of O.D./I.D.𝝂 Poisson’s Ratio
Abbott Aerospace – Analysis Method
XL-VIKINGDisplay Your Math in Excel
Taken from: Analysis and Design of Composite and Metallic Flight Vehicle Structures
Belleville Washer Design
M, C1 and C2 are constants which can be calculated from the formulas below:
𝑀 =6
𝜋 ∙ 𝑙𝑜𝑔𝑒 ∙ 𝑘∙𝑘 − 1 2
𝑘2
𝐶1 =6
𝜋 ∙ 𝑙𝑜𝑔𝑒 ∙ 𝑘∙
𝑘 − 1
𝑙𝑜𝑔𝑒 ∙ 𝑘− 1
𝐶2 =6
𝜋 ∙ 𝑙𝑜𝑔𝑒 ∙ 𝑘∙ 𝑘 − 1
The deflection load formula using these constants is:
𝑃 =𝐸 ∙ 𝛿
1 − 𝜈2 ∙ 𝑀 ∙ 𝑘2 ∙ 𝑏2∙ ℎ −
𝛿
2∙ ℎ − 𝛿 ∙ 𝑡 + 𝑡3
Abbott Aerospace – Analysis Method
XL-VIKINGDisplay Your Math in Excel
Taken from: Analysis and Design of Composite and Metallic Flight Vehicle Structures
Belleville Washer Design
The stress formula is as follows:
𝑓 =𝐸 ∙ 𝛿
1 − 𝜈2 ∙ 𝑀 ∙ 𝑘2 ∙ 𝑏2∙ 𝐶1 ∙ ℎ −
𝛿
2+ 𝐶2 ∙ 𝑡
In the stress formula, it is possible for the term ℎ −𝛿
2to become negative when 𝛿
is large. When this occurs the term inside the bracket should be changed to read
𝐶1 ∙ ℎ −𝛿
2− 𝐶2 ∙ 𝑡 . Note that the load deflection curve for Belleville washers is
not linear.
Abbott Aerospace – Analysis Method
XL-VIKINGDisplay Your Math in Excel
Taken from: Analysis and Design of Composite and Metallic Flight Vehicle Structures
Belleville Washer Design
Belleville washers can be stacked toobtain the desired load-deflectioncharacteristics; the accepted methodsare shown in the figure below:
AA-SM-042-001 Rev A Stress Analysis - Disc Washer Analysis
You can download a spreadsheet forthis method at the link below:
