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What do you mean by consistent and lumped mass matrices? Derive the same for linear bar element.

Mumbai University > Mechanical Engineering > Sem 6 > Finite Element Analysis

Marks: 10M

Year: May 2015

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Consistent and Lumped Mass Matrices:

While computing mass matrix in equation,

$\frac{AE}{he} \begin{bmatrix} \ 1 & -1 \\ \ -1 & 1 \\ \end{bmatrix} \begin{Bmatrix} \ u_1 \\ \ u_2 \\ \end{Bmatrix} = \begin{Bmatrix} \ P_1 \\ \ P_2 \\ \end{Bmatrix} + \begin{bmatrix} \ 2 & 1 \\ \ 1 …

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