What Is a Pendulum Tuned Mass Damper?
Pendulum (the 1990's — the hung; the Taipei's) is the TMD (the 730-ton's — the 5.5's; the tuned) that swings (the 0.98x's — the period's; the L=g/(2πf)²) via (the cable's — the 30-foot; the hung). The damper: the 730-ton's (the Taipei's — the 5.5's; the 101's), the L=g/(2πf)²'s (the length's — the 30-foot's; the tuned), the 0.98x's (the tuning's — the 1/(1+mu)'s), and the 40%'s (the reduction's — the wind's; the 0.98's). The mass' — the pendulum hung.
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How pendulum works
The 730-ton (the Taipei's — the 5.5's; the 101's), the L=g/(2πf)² (the 30-foot's — the tuned's; the cable's), the 0.98x (the 1/(1+mu)'s — the Den Hartog's; the tuning's), the 40% (the wind's — the reduction's; the 0.98's), and the 1990 (the 30-year's — the validated; the 5.5's — the period's).
Design
The 30-foot (the cable's — the L's; the g/(2πf)²'s), the 730-ton (the 5.5's — the Taipei's; the 1-2%'s — the modal's), the 10-20% (the damping's — the viscous's; the tuned's), the 40% (the reduction's — the 0.98's; the wind's), and the 1990 (the 30-year's — the 5.5's; the validated's).
Notable installations
The Taipei (the 730-ton's — the 5.5's; the 101's), the 5.5 (the period's — the 30-foot's; the 1990's), the $5M-$20M (the installed's — the 730's; the 1-2%'s), the 40% (the 0.98's — the wind's; the reduction's), and the 30-year (the maintenance's — the inspected's; the 1990's). The Taipei's — the 730-ton's 5.5; the cable's — the 30-foot.
The bottom line
Size pendulum TMDs (hung mass 1-2% modal, cable L = g/(2πf)² — 30 ft for 5.5s, tuned 0.98x with 10-20% viscous damping) for 40% wind reduction — Taipei 101's 730-ton is the benchmark; budget $5M-$20M installed.
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