Buckling analysis of ellipse4





  1. Introduction
  2. Description
  3. File Information
  4. Materials
  5. Load & Restraint Information
  6. Study Property
  7. Displacement Results
  8. Deformation Results
  9. Mode List
  10. Appendix



1. Introduction



Elliptical cylinder buckling


2. Description



2:1 ellipse
end rings
one end fixed
other end x and y constrained, but not z



3. File Information



Model name: ellipse4
Model location: C:\Documents and Settings\Howard Wieman\My Documents\aps project\mechanical\beam pipe\Beryllium Eliptical Stress Study\ellipse4.SLDPRT
Results location: C:\temp
Study name: Ellipse4




4. Materials



No. Shell Name Material Thickness
1 Shell-1 beryilliumCosmosChPois 4 mm
2 Shell-2 beryilliumCosmosChPois 0.5 mm



5. Load & Restraint Information



Restraint
Restraint-1 <> on 1 Edge(s) fixed.
Description:
Restraint-2 <> on 1 Edge(s) with respect to reference geometry Front with displacement 0 mm along plane Dir 1 displacement 0 mm along plane Dir 2
Description:


Load
Pressure-1 <> on 3 Face(s) with Pressure 15 psi along direction normal to selected face
Description:




6. Study Property



Mesh Information
Mesh Type: Shell mesh using surfaces
Mesher Used: Standard
Automatic Transition: Off
Smooth Surface: On
Jacobian Check: 4 Points
Element Size: 5.0288 mm
Tolerance: 0.25144 mm
Quality: High
Number of elements: 2256
Number of nodes: 4540



Solver Information
Quality: High
Solver Type: Direct sparse solver
Number of Buckling Modes: 3








7. Displacement Results



Name Type Min Location Max Location
Plot1 URES: Resultant displacement
0 mm
Node: 43
(14.5 mm,
0 mm,
400 mm)
3.06701 mm
Node: 632
(10.5 mm,
5 mm,
194.974 mm)
Plot2 URES: Resultant displacement
0 mm
Node: 43
(14.5 mm,
0 mm,
400 mm)
2.88639 mm
Node: 388
(-10.5 mm,
5 mm,
99.4872 mm)
Plot3 URES: Resultant displacement
0 mm
Node: 43
(14.5 mm,
0 mm,
400 mm)
3.14306 mm
Node: 1894
(2.32831e-007 mm,
7.25 mm,
287.949 mm)



ellipse4-Ellipse4-Displacement-Plot1
JPEG
VIEW



ellipse4-Ellipse4-Displacement-Plot2
JPEG
VIEW



ellipse4-Ellipse4-Displacement-Plot3
JPEG
VIEW



8. Deformation Results



9. Mode List



Mode List
Mode Number Load Factor
1 109.36
2 113.83
3 117.96






10. Appendix



Material name: beryilliumCosmosChPois
Description:
Material Source: Library files
Material Library Name: hwmaterials
Material Model Type: Linear Elastic Isotropic
Unit system: English (IPS)

Property Name Value
Elastic modulus 4.3954e+007 psi
Poisson's ratio 0.032
Shear modulus 1.9583e+007 psi
Mass density 0.066836 lb/in^3
Tensile strength 53673 psi
Yield strength 34815 psi
Thermal expansion coefficient 6.1111e-006 /Fahrenheit
Thermal conductivity 0.0026758 BTU/(in.s.F)
Specific heat 0.43598 Btu/(lb.F)