Eigen values Problems in FEM |Lumping Procedures | Dynamic Problems in Finite Element Analysis | FEA

Determine the Eigen values and frequencies of the stepped bar.
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Introduction to FEM:
1. Overview of finite element analysis | Fully Understand What is FEM ? Why FEM ? Must Watch :    • Overview of finite element analysis | Full...  
2. Types of Finite Element:    • Finite Element & Their Types | Classificat...  
3. Know about degrees of freedom:    • How do you determine Degree of Freedom in ...  
4. Location of nodes
   • How to Select a Proper Location of Nodes i...  
5. Boundary conditions:    • Boundary conditions in Finite Element Meth...  
6. Concepts Bar elements :
   • One Dimensional bar Problem with Solution ...  

Spring Problems using FEA:
1.    • Spring Element in fem - Deformations and R...  
2.    • 1D Finite Element Analysis Numericals * Ad...  
3.    • Calculate the Nodal Displacements for the ...  
4.    • Find the Deflection and rotation of the Be...  
5.    • System of Springs problems Using Principle...  
6.    • Spring Elements Problems in FEM | Spring P...  
7.    • FEM Spring Problems | Finite Element Metho...  
8.    • FEM Spring Problems | Finite Element Analy...  
9.    • Analysis of Simply Supported beam with Uni...  

One Dimensional Bar Elements
1.    • Thermal Load Problems in Finite Element An...  
( Forces are applied towards left i.e opposite )
2.    • Module -1 Unit-2: Basic Steps in the Finit...  
( Basic Steps in FEA)
3.    • Composite bar formulation Using Finite Ele...  
( Two bars parallel with spring attachment)
4.    • 1D Finite Element Analysis Numericals * Ad...  
( Two bars parallel with spring attachment)
5.    • Structural Analysis of the bar elements Pa...  
( Gap between the bar and wall problem)
6.    • Structural Analysis of Bar Using Finite El...  
( Gap between the bar and wall problem)
7.    • FEM Thermal Analysis | Temperature Effects...  
( Step bar both ends fixed )
8.    • One Dimensional Tapered Bar Elements Probl...  
( Tapered bar)
9.    • Finite Element Analysis | FEM bar problem ...  
( Uniform bar with gap between bar and wall)
10.    • Steps in Finite Element Analysis  | stages...  
( Very Important problem on bar)
11.    • FEM Bar Problems |Finite Element Methods i...  
( One End is fixed )
12.    • FEM bar problem | FEA 1D bar Elements | Fi...  
( One end is fixed load applied at the another end)

Beam Element Problems
1.    • Reaction forces on a beam |Reaction forces...  
( More details about Reaction forces calculation)
2.    • Nodal forces and Bending moment formula fo...  
( SF and BM formula for different loading conditions)
3.    • Find the Deflection and rotation of the Be...  
( Beam with Spring support)
4.    • Analysis of Beams in Finite Element Method...  
( UDL load entire the span of beam)
5.    • Beam Problem in Finite Element Analysis | ...  
( Concentrated loads )
6.    • Structural Analysis for cantilever beam | ...  
( Cantilever beam )
7.    • FEM beam problems | Finite element method ...  
( Cantilever beam with roller support at end, point load)
8.    • Beam problem in Finite Element Method | St...  
( Continuous cantilever beam with two supporters)

Advanced Problems in beams:
1. Cantilever beam with spring support at the end:    • A Cantilever beam with spring support at t...  
2. Analysis of Simply Supported beam with Uniformly distributed Load( udl):    • Analysis of Simply Supported beam with Uni...  
3. Combined Udl and Point load acting on a beam:    • How to Calculate the Nodal Force Vector du...  


Truss Elements Problems:
** New* Problem** Must Watch***    • Finite Element Analysis of Composite Mater...  
1.    • Connectivity table for truss Elements | No...  
( Three elements, connectivity table)
2.    • Boundary conditions in Finite Element Meth...  
( Boundary conditions )
3.    • Trusses Method for Beginners to Understand...  
( two elements, one roller support & one hinged support )
4.    • Analysis of Trusses Using Finite Element M...  
( Two elements both end are fixed )
5.    • Analysis of TRUSSES With FE Analysis  | Di...  
( Three elements)
6.    • Finite Element Analysis on TRUSS Elements ...  
( Three elements, two hinged and one roller support)
7.    • FEM truss problems | Finite Element Method...  
( Two elements, One roller support )
8.    • FEM Truss Problems| Finite Element Methods...  
( one hinged support and one roller support)
9.    • FEM TRUSS PROBLEM | Calculate the Nodal di...  
( Four elements , two loads at different nodes)

Constant Strain Triangle ( CST Elements )
*Know of CST & LST Watch 👇*    • Know about CST, LST and QST || Types of Tw...  
1.    • Isoparametric triangular elements in FEM |...  
2.    • Problem 3_CST problem in finite elements m...  
3.    • Problem 2 _ CST Element in FEA _ Constant ...  
4.    • Two dimensional ( 2D) CST Element Problem|...  
( Stiffness matrix calculation )
5.    • Problem 1_ CST Elements in FEM _ Finite el...  
6.    • Constant Strain Triangle Elements in Finit...  
7.    • Two Dimensional CST Element Problem| Stiff...  
8.    • Strain-Displacement Relations in FEM | Str...  
( Strain- displacement derivation )
9.    • Constant Strain Triangle Elements in FEM |...  
10.    • Plane Strain Problems in two dimensional v...   ( Plain strain Problem)


Heat Transfer Problems
1.    • Heat Transfer Problems Using Finite Elemen...   ( wall element )
2.    • FEM Thermal Analysis | Temperature Effects...   ( Bar element)
3.    • Heat Transfer Problems Using Finite Elemen...   ( Composite materials)
4.    • Heat Transfer Analysis For Composite Wall ...   ( wall elements)
5.    • Heat Transfer Problems in Finite Element M...   ( fin element)
6.    • Analysis of Simply Supported beam with Uni...   ( composite wall materials)
7.    • Finite Element Analysis of Composite Mater...   ( Composite materials)

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To Calculate the Eigenvectors Watch Part 2:
   • Dynamic Analysis Problems in Finite elemen...  

Must Watch Compulsory question in the Exam:
   • Steps in Finite Element Analysis  | stages...  

More Lecturer on FEM Visit playlist.

✓ Very Very important and Recently uploaded on bar elements
√√(i)    • Finite Element Analysis | FEM bar problem ...  

Very important problem on beam recently uploaded:
√√(ii)    • Beam Problem in Finite Element Analysis | ...  


#Eigenvaluesandeigenvectors #undammpedvibrations #dynamicanalysisinfea #dynamicanalysisinfem