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 |...  
2. Types of Finite Element:    • Finite Element & Their Types | Classi...  
3. Know about degrees of freedom:    • How do you determine Degree of Freedo...  
4. Location of nodes
   • How to Select a Proper Location of No...  
5. Boundary conditions:    • Boundary conditions in Finite Element...  
6. Concepts Bar elements :
   • One Dimensional bar Problem with Solu...  

Spring Problems using FEA:
1.    • Spring Element in fem - Deformations ...  
2.    • 1D Finite Element Analysis Approximat...  
3.    • Calculate the Nodal Displacements for...  
4.    • Find the Deflection and rotation of t...  
5.    • Principle of Minimum Potential Energy...  
6.    • Spring Problems in Fem | Spring Probl...  
7.    • FEM Spring Problem | Finite Element M...  
8.    • FEM Spring Problems | Finite Element ...  
9.    • Analysis of Simply Supported beam wit...  

One Dimensional Bar Elements
1.    • Thermal Load Problems in Finite Eleme...  
( Forces are applied towards left i.e opposite )
2.    • Basic Steps in the Finite Element Ana...  
( Basic Steps in FEA)
3.    • Composite bar formulation Using Finit...  
( Two bars parallel with spring attachment)
4.    • 1D Finite Element Analysis Approximat...  
( Two bars parallel with spring attachment)
5.    • Structural Analysis of the bar elemen...  
( Gap between the bar and wall problem)
6.    • Structural Analysis of Bar Using Fini...  
( Gap between the bar and wall problem)
7.    • FEM Thermal Analysis | Temperature Ef...  
( Step bar both ends fixed )
8.    • FEM Bar Elements Problems |One Dimens...  
( Tapered bar)
9.    • Finite Element Analysis | FEM bar pro...  
( Uniform bar with gap between bar and wall)
10.    • Finite Element Methods in Mechanical ...  
( Very Important problem on bar)
11.    • FEM Bar Problems |Finite Element Meth...  
( One End is fixed )
12.    • FEM bar problem | FEA 1D bar Elements...  
( One end is fixed load applied at the another end)

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

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


Truss Elements Problems:
** New* Problem** Must Watch***    • Analysis of Composite Materials using...  
1.    • Connectivity table for truss Elements...  
( Three elements, connectivity table)
2.    • Boundary conditions in Finite Element...  
( Boundary conditions )
3.    • Trusses Method for Beginners to Under...  
( two elements, one roller support & one hinged support )
4.    • Analysis of Trusses Using Finite Elem...  
( Two elements both end are fixed )
5.    • Analysis of TRUSSES With FE Analysis ...  
( Three elements)
6.    • Finite Element Analysis on TRUSS Elem...  
( Three elements, two hinged and one roller support)
7.    • FEM truss problems | Finite Element M...  
( Two elements, One roller support )
8.    • FEM Truss Problems| Finite Element Me...  
( one hinged support and one roller support)
9.    • FEM TRUSS PROBLEM | Calculate the Nod...  
( Four elements , two loads at different nodes)

Constant Strain Triangle ( CST Elements )
*Know of CST & LST Watch 👇*    • Know about CST, LST and QST || Types ...  
1.    • Isoparametric triangular elements in ...  
2.    • Problem 3_CST problem in finite eleme...  
3.    • Problem 2 _ CST Element in FEA _ Cons...  
4.    • Stiffness matrix for two dimensional ...  
( Stiffness matrix calculation )
5.    • Problem 1_ CST Elements in FEM _ Fini...  
6.    • Constant Strain Triangle Elements in ...  
7.    • Two Dimensional CST Element Problem| ...  
8.    • Strain Displacement Relation in FEM| ...  
( Strain- displacement derivation )
9.    • Constant Strain Triangle Elements in ...  
10.    • Plane Strain Problems in two dimensio...   ( Plain strain Problem)


Heat Transfer Problems
1.    • Heat Transfer Problems Using Finite E...   ( wall element )
2.    • FEM Thermal Analysis | Temperature Ef...   ( Bar element)
3.    • Heat Transfer Problems Using Finite E...   ( Composite materials)
4.    • Heat Transfer Analysis For Composite ...   ( wall elements)
5.    • Heat Transfer Problems in Finite Elem...   ( fin element)
6.    • Analysis of Simply Supported beam wit...   ( composite wall materials)
7.    • Analysis of Composite Materials using...   ( Composite materials)

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To Calculate the Eigenvectors Watch Part 2:
   • Dynamic Analysis in Finite element me...  

Must Watch Compulsory question in the Exam:
   • Finite Element Methods in Mechanical ...  

More Lecturer on FEM Visit playlist.

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

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


#Eigenvaluesandeigenvectors #undammpedvibrations #dynamicanalysisinfea #dynamicanalysisinfem