TMD Modal Splitting — Frequency Response Function

2-DOF coupled system: primary structure + tuned mass damper  |  Den Hartog optimal tuning: f = 1/(1+μ),  ζd,opt = √[3μ / 8(1+μ)³]

2.0%
0.00%
2.0%
Tuning ratio f = ωd/ω1
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Lower coupled mode r⁻
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Upper coupled mode r⁺
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Optimal ζd (Den Hartog)
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No TMD (SDOF) With TMD (2-DOF) Split modes r⁻, r⁺ Tuning freq f