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What do you mean by consistent and lumped mass matric

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What do you mean by consistent and lumped mass matric

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written 6.7 years ago by | modified 6.4 years ago by |

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

$[M] = \frac{\rho Ah_e}{2} \begin{bmatrix} 2 & 1 \\ 1& 2 \end{bmatrix}$

Mass matrix computed by considering mass to be distributed equally at the two nodes of the element is known as lumped mass matrix.

$[M] = \frac{\rho Ah_e}{2} \begin{bmatrix} 1 & 0 \\ 0& 1 \end{bmatrix}$

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