User: shahanwazhavale

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Posts by shahanwazhavale

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... ### Consistent mass matrix Mass matrix computed by considering mass to be distributed uniform throughout the element is known as consistent mass matrix. Consistent matrix for bar element is given by $[M] = \frac{\rho Ah_e}{2} \begin{bmatrix} 2 & 1 \\ 1& 2 \end{bmatrix}$ ### Lumped mass ...
written 11 months ago by shahanwazhavale0 • updated 8 months ago by Yashbeer ♦♦ 130
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... ![enter image description here][1] [1]: https://i.imgur.com/E3tht51.png ...
written 11 months ago by shahanwazhavale0
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... The expression for total potential energy is given by, **π= U+H** Differentiating above equation **δπ= δU+δH** In principle of virtual work **δU=δH** **δπ = 0** Hence we can conclude that a deformable body is in equilibrium when the potential energy is having stationary value. Hence the principl ...
written 11 months ago by shahanwazhavale0 • updated 11 months ago by Sanket Shingote ♦♦ 250
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... **Convergence:** In numerical method, we get an approximate solution. In FEA, the error gets reduced by increasing the number of elements or the degree of polynomial. If the final solution obtained matches with the exact one expected, within permissible error we say convergence is reached. **Criter ...
written 11 months ago by shahanwazhavale0 • updated 11 months ago by Sanket Shingote ♦♦ 250
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... **Sources of error in Finite Element Method** **1. Discretization error:** Its results from transforming the physical problem into a finite element model and can be related to modeling the boundary condition. These results are more prominent in 2D and 3D problems and can be reduced by increasing th ...
written 11 months ago by shahanwazhavale0 • updated 8 months ago by Sanket Shingote ♦♦ 250
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... **Shape Functions:** Shape functions are the polynomials meant to describe the variation of primary variable along the domain of element. **Characteristic of Shape function** 1. Value of shape function of particular node is one and is zero to all other nodes. 2. Sum of all shape function is one. 3 ...
written 11 months ago by shahanwazhavale0 • updated 8 months ago by Sanket Shingote ♦♦ 250
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... **Applications of Finite Element Method** **1. Mechanical engineering:** In mechanical engineering, FEM applications include steady and transient thermal analysis in solids and fluids, stress analysis in solids, automotive design and analysis and manufacturing process simulation. **2. Geotechnical ...
written 11 months ago by shahanwazhavale0 • updated 8 months ago by Sanket Shingote ♦♦ 250
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... **Isoparametric element** Generally it is very difficult to represent the curved boundaries by straight edge elements. A large number of elements may be used to obtain reasonable resemblance between original body and the assemblage. In order to overcome this drawback, isoparametric elements are use ...
written 11 months ago by shahanwazhavale0
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... **Advantages of Finite Element Method** 1. Modeling of complex geometries and irregular shapes are easier as varieties of finite elements are available for discretization of domain. 2. Boundary conditions can be easily incorporated in FEM. 3. Different types of material properties can be easily ...
written 11 months ago by shahanwazhavale0 • updated 8 months ago by Sanket Shingote ♦♦ 250
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