The 'Rayleigh damping' model assumes damping matrix as:
Choose the correct answer
[C] = [K]/2 always
[C] = α[M] + β[K] — proportional to mass and stiffness; gives frequency-dependent damping ratio ζi = α/(2ωi) + βωi/2
[C] = zero (undamped)
[C] = constant scalar
Correct Answer
B. [C] = α[M] + β[K] — proportional to mass and stiffness; gives frequency-dependent damping ratio ζi = α/(2ωi) + βωi/2
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Rayleigh damping: [C] = α[M] + β[K] where α, β are constants determined from two damping ratios ζ1, ζ2 at two frequencies ω1, ω2. Each mode has damping ratio ζi = α/(2ωi) + β×ωi/2. Used in: time-history FEA (Newmark method). Physical basis: mass-proportional (eddies in fluid, friction) + stiffness-proportional (internal material friction). Common assumption in seismic analysis.
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