Analysis of Buckling Phenomena
Aim: To perform a buckling analysis on a cyclonic separator stand
Objective:
- To find buckling factor of safety for a cyclone separator stand without support
- To find the optimal position where stiffener has to be placed for the maximum buckling factor of safety.
- To find the buckling factor of safety with a stiffener in suggested optimal position and verify it against the maximum buckling factor of safety generated by the design study.
Simulation of cyclone separator without stiffener
Description: A cyclone separator stand is analyzed for buckling to find out the maximum factor of safety for a benchmark force of 150kN.
Model Information:
Treated as: Volumetric Properties
Mass - 204.99kg
Volume - 0.0266221 m^3
Solid-Body: Density = 7700 kg/m^3
Weight = 2008.91 N
Study Properties
Analysis Type - Buckling
Mesh Type - Fine
Number of Modes - 1
Solver Type - FFEPlus
Incompatible bonding options - Automatic
Thermal effect - On
Thermal option - Include temperature loads
Zero strain temperature - 298 Kelvin
Include fluid pressure effects from SOLIDWORKS - Off
Flow Simulation
Soft Spring - Off
Units
Unit System - SI (MKS)
Length/Displacement - mm
Temperature - Kelvin
Angular Velocity - rad/sec
Pressure/Stress - N/m^2
Material Properties
Name - Alloy Steel
Model Type - Linear Elastic Isotropic
Default failure criterion - Max von Mises Stress
Yield Strength - 6.20422e+08 N/m^2
Tensile Strength - 7.23826e+08 N/m^2
Mass density - 7700 kg/m^3
Elastic modulus - 2.1e+11 N/m^2
Poisson’s ratio - 0.28
Thermal expansion coefficient - 1.3e-05 /Kelvin
Loads and Fixtures
Fixture Name
Fixed-1
Entities - 4 faces
Type - Fixed Geometry
Load Name
Force-1
Entities - 1 face
Type - Apply normal force
Value - 150kN
Contact Information
Global Contact
Type - Bonded
Components - 1 component
Options - Compatible mesh
Study Results
Name Type Min Max
Amplitude1 AMPRES: Resultant Amplitude 0.000e+00 3.454e-03
For Mode Shape: 1(Load Factor =
9.3692)
Design Study of a cyclone separator with support
Description:
A design study is carried out on a cyclone separator stand in order to ascertain to the optimal position to place a stiffener to maximize buckling factor of safety.
Study Properties
Study name Design Study 1
Analysis Type Design Study(Optimization)
Design Study Quality High quality (slower)
Units
Unit System - SI (MKS)
Length/Displacement - mm
Temperature - Kelvin
Angular Velocity - rad/sec
Pressure/Stress - N/m^2
Design Study Setup
Design Variables
Name Type Value Units
Offset_distance Range with Step Min: 250, Max:1750 mm
Step- 250
Constraints
Sensor Name Condition Bounds Units Study Name
Buckling Factor is greater than Min:25.00000 - Buckling_with
Of Safety1 _support
Name Goal Properties Weight Study name
Buckling Factor Maximise Buckling Factor 10 Buckling_with
of Safety2 of Safety _support
Design Study Results
Simulation of Cyclone Separator Stand with Stiffener
Description
A cyclone separator stand is analyzed for buckling to find out maximum factor of safety for a benchmark force of 150kN as a test to prove the design study
Model Information
Treated as: Volumetric Properties
Mass - 255.522kg
Volume - 0.0331846 m^3
Solid-Body: Density = 7700 kg/m^3
Weight = 2504.11 N
Study Properties
Analysis Type - Buckling
Mesh Type - Solid Mesh
Number of Modes - 1
Solver Type - FFEPlus
Incompatible bonding options - Automatic
Thermal effect - On
Thermal option - Include temperature loads
Zero strain temperature - 298 Kelvin
Include fluid pressure effects from SOLIDWORKS - Off
Flow Simulation
Soft Sping - Off
Units
Unit System - SI (MKS)
Length/Displacement - mm
Temperature - Kelvin
Angular Velocity - rad/sec
Pressure/Stress - N/m^2
Material Properties
Name - Alloy Steel
Model Type - Linear Elastic Isotropic
Default failure criterion - Max von Mises Stress
Yield Strength - 6.20422e+08 N/m^2
Tensile Strength - 7.23826e+08 N/m^2
Mass density - 7700 kg/m^3
Elastic modulus - 2.1e+11 N/m^2
Poisson’s ratio - 0.28
Thermal expansion coefficient - 1.3e-05 /Kelvin
Loads and Fixtures
Fixture Name
Fixed-1
Entities - 4 faces
Type - Fixed Geometry
Load Name
Force-1
Entities - 1 face
Type - Apply normal force
Value - 150kN
Study Results
Name Type Min Max
Amplitude1 AMPRES: Resultant Amplitude 0.000e+00 3.517e-03
For Mode Shape: 1(Load Factor =
27.749)
Mode list -
Mode no. Load Factor
1 27.749
Discussion: From the first study, it is found that the buckling factor of safety for cyclone separator stand without support is 9.3692. In the design study obtained, the optimum position to place a stiffener is 1000mm from the top of the table and the maximum buckling factor of safety is approximately 27.749.
The maximum buckling factor of safety is verified by the third study.
Conclusion:
Hence the buckling factor of safety of the cyclone separator stand without support is 9.3692. The optimum position of stiffener to obtain maximum buckling factor of safety is 1000mm from the tabletop. The maximum buckling factor of safety is approximately 27.749, with stiffener.