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Rayleigh damping expresses the damping matrix as

  • A.a linear combination of the mass and stiffness matrices
  • B.a diagonal matrix with equal entries at every degree of freedom
  • C.the inverse of the stiffness matrix scaled by a constant factor
  • D.the product of the mass matrix with the stiffness matrix directly

Answer: A

Writing \( C = a_0M + a_1K \) guarantees that the mode shapes diagonalise the damping matrix as well, keeping the equations uncoupled. The two constants are chosen to give the desired damping ratio at two selected frequencies.

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