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PRESENTATION ON FEM
• PRESENTED BY
JOYDEEP ATTA (19CE4202)
ATISH NANDI (19CE4205)
PRADYUMNA KONAR (19CE4208)
CHARITY MARBANIANG (19CE4211)
HASAN MOHMMAD (19CE4214)
INTRODUCTION
•WHAT IS FINITE ELEMENT ANALYSIS
A numerical method for solving a system of governing
equations over the domain of a continuous physical
system.
Continuous system Discrete system
Time-independent PDE Linear algebraic
Time-dependent PDE eq.ODE
•
USE OF FINITE ELEMENT ANALYSIS
• Can handle very complex geometry. (Dam, retaining wall etc.)
• Can handle a wide variety of engineering problem.
(soil mechanics, dynamics, heat problems, fluids and electrostatics
problems)
• Can handle complex restraints. (Indeterminate structure)
• Can handle complex loading. (nodal load, element load, time or
frequency dependent load)
How FEM works
• Pre-processing, Meshing, Post-processing
TYPES OF ELEMENTS IN F.E.M.
Development of elements
1941 = 1D elements (Hrennikoff)
Presented a solution of elasticity problem using one-dimensional elements.
1956 = 2D elements (Levy)
stiffness method
1960 = FEM introduced (Clough)
1965 = 3D elements (Clough)
3D elements of axisymmetric solids
1970 = 3D elements (Martin)
Developed the stiffness matrix for 3D problems.
1 DIMENSIONAL ELEMENT
• When one of the dimensions is much greater
than other two dimensions.(approx. more than
20 times)
• Used for modeling line-type members.
• Represents more accurately long members
than solids.
EX. columns or piers, beams or piles, rods, bars.
Trial equations OF 1D ELEMENTs
Limitation of 1D elements
• Lacking in the ability to model complicated
geometry.
• Only the effect of bending is considered.
• Cannot solve the complex field problems.
Like- thermal analysis, dynamic analysis.
ADVANTAGES OF 2D AND 3D ELEMENTS
• 2D elements (loading and deformation occurs
within a plane)
• Useful to investigate bending deformation
• It can represent thin shell structures
• 3D elements (loading and deformation occurs
within a space)
• Simulation and solution of complex real life problem
• Used to solve unsymmetrical loading and structural
pattern of any complex problem
Trial equations OF 2D ELEMENTs
(x,y)
(x,y)
(x,y)
EX. SHELL, CLOTH
Trial equations OF 3D ELEMENTs
(x,y,z)
(x,y,z)
EX. Cylinder, skin
APPLICATION OF 2D AND 3D ELEMENTS
APPLICATION 2D OVER 3D
• Geometry is asymmetric, where boundary
condition (velocity and displacement) and
loading is applied asymmetrically as well.
For example- Cylindrical water tank
• For strain analysis in plain strain condition.
For example- Retaining wall
DOF OF ELEMENTS
• A particle have infinite DOF in the space. But
elements have 3 degrees of freedom per node if it
translate along X,Y and Z axis only.
If we account rotations then it has 6 DOFs per node,
3 additional DOFs for rotation.
• For infinitely rigid we neglect its rotation.
SOLUTION METHODS
SOLUTION BY USE OF SOFTWARE
Structure Non-
linear
Composite
materials
Collision
analysis
fatigue
analysis
Noise
analysis
Fluid
analysis
Heat
transfer
analysis
ANSYS
NASTRAN
ABAQUS
MARC
MSC/DYNA
COSMOS
PHOENICS
THANK YOU
ANY QUESTION??????

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Finite element method

  • 1. PRESENTATION ON FEM • PRESENTED BY JOYDEEP ATTA (19CE4202) ATISH NANDI (19CE4205) PRADYUMNA KONAR (19CE4208) CHARITY MARBANIANG (19CE4211) HASAN MOHMMAD (19CE4214)
  • 2. INTRODUCTION •WHAT IS FINITE ELEMENT ANALYSIS A numerical method for solving a system of governing equations over the domain of a continuous physical system. Continuous system Discrete system Time-independent PDE Linear algebraic Time-dependent PDE eq.ODE
  • 3. • USE OF FINITE ELEMENT ANALYSIS • Can handle very complex geometry. (Dam, retaining wall etc.) • Can handle a wide variety of engineering problem. (soil mechanics, dynamics, heat problems, fluids and electrostatics problems) • Can handle complex restraints. (Indeterminate structure) • Can handle complex loading. (nodal load, element load, time or frequency dependent load)
  • 4. How FEM works • Pre-processing, Meshing, Post-processing
  • 5. TYPES OF ELEMENTS IN F.E.M.
  • 6. Development of elements 1941 = 1D elements (Hrennikoff) Presented a solution of elasticity problem using one-dimensional elements. 1956 = 2D elements (Levy) stiffness method 1960 = FEM introduced (Clough) 1965 = 3D elements (Clough) 3D elements of axisymmetric solids 1970 = 3D elements (Martin) Developed the stiffness matrix for 3D problems.
  • 7. 1 DIMENSIONAL ELEMENT • When one of the dimensions is much greater than other two dimensions.(approx. more than 20 times) • Used for modeling line-type members. • Represents more accurately long members than solids. EX. columns or piers, beams or piles, rods, bars.
  • 8. Trial equations OF 1D ELEMENTs
  • 9. Limitation of 1D elements • Lacking in the ability to model complicated geometry. • Only the effect of bending is considered. • Cannot solve the complex field problems. Like- thermal analysis, dynamic analysis.
  • 10. ADVANTAGES OF 2D AND 3D ELEMENTS • 2D elements (loading and deformation occurs within a plane) • Useful to investigate bending deformation • It can represent thin shell structures • 3D elements (loading and deformation occurs within a space) • Simulation and solution of complex real life problem • Used to solve unsymmetrical loading and structural pattern of any complex problem
  • 11. Trial equations OF 2D ELEMENTs (x,y) (x,y) (x,y) EX. SHELL, CLOTH
  • 12. Trial equations OF 3D ELEMENTs (x,y,z) (x,y,z) EX. Cylinder, skin
  • 13. APPLICATION OF 2D AND 3D ELEMENTS
  • 14. APPLICATION 2D OVER 3D • Geometry is asymmetric, where boundary condition (velocity and displacement) and loading is applied asymmetrically as well. For example- Cylindrical water tank • For strain analysis in plain strain condition. For example- Retaining wall
  • 15. DOF OF ELEMENTS • A particle have infinite DOF in the space. But elements have 3 degrees of freedom per node if it translate along X,Y and Z axis only. If we account rotations then it has 6 DOFs per node, 3 additional DOFs for rotation. • For infinitely rigid we neglect its rotation.
  • 17. SOLUTION BY USE OF SOFTWARE Structure Non- linear Composite materials Collision analysis fatigue analysis Noise analysis Fluid analysis Heat transfer analysis ANSYS NASTRAN ABAQUS MARC MSC/DYNA COSMOS PHOENICS