COMPARISON OF THE LINEAR BUCKLING ANALYSIS FOR DIFFERENT

THICKNESS OF A FLAT PLATE

Name : Muhammad bin RamlanMatrix No.: P 57600Subject : Finite Element Method In Civil EngineeringYear : 2011 / 2012Lecturer : Prof Ir Dr Wan Hamidon bin Wan Badaruzzaman

Objective

1. Analyse the effect of buckling load for a different thickness types of flat plate subjected to in-plane compressive loading.

2. Discuss the result of the analysis prior to the experiment.

COMPARISON OF THE LINEAR BUCKLING ANALYSIS FOR DIFFERENT THICKNESS OF A FLAT PLATE

Problem DefinitionNo

.Item Plate 1 Plate 2

1 Plate Size 2 m x 0.5 m 2 m x 0.5 m2 Plate Thickness 1 mm 5 mm3 Young Modulus 70E9 N/m2 70E9 N/m2

4 Poisson Ratio 0.3 0.35 Support Type Simply supported at all sides. Simply supported at all sides.

6 Load 24N of in-plane compressive load is applied to one of the short edges, parallel to the long sides.

24N of in-plane compressive load is applied to one of the short edges, parallel to the long sides.

COMPARISON OF THE LINEAR BUCKLING ANALYSIS FOR DIFFERENT THICKNESS OF A FLAT PLATE

Description of LUSAS

• LUSAS is a finite element analysis software program which can solve all types of linear and nonlinear stress, dynamics, composite and thermal engineering analysis problems. The main components of the LUSAS are: – LUSAS Modeller - a fully interactive graphical user

interface for model building and viewing of results from an analysis.

– LUSAS Solver - a powerful finite element analysis engine that carries out the analysis of the problem defined in LUSAS Modeller.

COMPARISON OF THE LINEAR BUCKLING ANALYSIS FOR DIFFERENT THICKNESS OF A FLAT PLATE

Finite Element Modelling• The finite element modelling using LUSAS was run as per below:

– Creating a new model– Inserting the feature geometry– Select the meshing– Specifying the geometric properties– Specifying the material properties– Specifying the support applied– Select the loading applied to the element– Eigenvalue analyst control– Saving the model– Running the Analysis– Printing the buckling load factor– Calculating the critical buckling load

COMPARISON OF THE LINEAR BUCKLING ANALYSIS FOR DIFFERENT THICKNESS OF A FLAT PLATE

Result : Plate 1 (1mm thickness)

• A Loading Distribution On Plate 1

COMPARISON OF THE LINEAR BUCKLING ANALYSIS FOR DIFFERENT THICKNESS OF A FLAT PLATE

Result : Plate 1 (1mm thickness)

• Deformed Mesh Layers On Plate 1

COMPARISON OF THE LINEAR BUCKLING ANALYSIS FOR DIFFERENT THICKNESS OF A FLAT PLATE

Result : Plate 1 (1mm thickness)

• Eigenvalue Result Value for Plate 1

COMPARISON OF THE LINEAR BUCKLING ANALYSIS FOR DIFFERENT THICKNESS OF A FLAT PLATE

Result : Plate 2 (5mm thickness)

• Loading Distribution On Plate 2

COMPARISON OF THE LINEAR BUCKLING ANALYSIS FOR DIFFERENT THICKNESS OF A FLAT PLATE

Result : Plate 2 (5mm thickness)

• Deformed Mesh Layers On Plate 2

COMPARISON OF THE LINEAR BUCKLING ANALYSIS FOR DIFFERENT THICKNESS OF A FLAT PLATE

Result : Plate 2 (5mm thickness)

• Eigenvalue Result Value for Plate 2

COMPARISON OF THE LINEAR BUCKLING ANALYSIS FOR DIFFERENT THICKNESS OF A FLAT PLATE

Result : Overall

Plate thickness Mode Compressive

Load (N) Load Factor Buckling Load (N)

1mm1 24 19.8891 477.342 24 21.1524 507.663 24 21.318 511.63

5mm1 24 159.113 59667.362 24 169.234 63460.323 24 170.544 63954.00

COMPARISON OF THE LINEAR BUCKLING ANALYSIS FOR DIFFERENT THICKNESS OF A FLAT PLATE

Conclusion

1. It can be concluded that different types of material properties will cause different types of buckling effects.

2. From the analysis, a thicker flat plate will provide a larger buckling value. Whilst for a thin flat plate, the buckling value will be smaller.

COMPARISON OF THE LINEAR BUCKLING ANALYSIS FOR DIFFERENT THICKNESS OF A FLAT PLATE