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The mass matrix of a structure is assembled from

  • A.the damping ratios assumed for each mode
  • B.the natural frequencies obtained from the analysis
  • C.the distribution of mass over the structure
  • D.the applied forces at each degree of freedom

Answer: C

Correct answer: the distribution of mass over the structure

The mass matrix records where the mass is, and it is assembled from the physical mass at or around each degree of freedom.

The lumped formulation places the tributary mass at each node, giving a diagonal matrix; a consistent formulation distributes it using the same shape functions as the stiffness, giving off-diagonal terms. Natural frequencies and damping ratios are results of the analysis or assumptions imposed on it - neither is an input to the mass matrix.

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