Physics / Earth
Tower and earthquake
Shake a building at its own frequency, then tune a roof damper and watch the sway die.
What happens
Shake a building at its own frequency, then tune a roof damper and watch the sway die. Shear-building idealization with phenomenological damage. The roof damper stays tuned to the intact structure.
Equations used in the module
Equations M u'' + C u' + K u = −M 1 a_g(t) Kφ = ω²Mφ; C = βK; β = 2ζ/ω₁₀ k_i = k₀ h_i, 0 ≤ h_i ≤ 1 ω_d = 2π f₁₀ r_d; k_d = m_d ω_d²; c_d = 2ζ_d m_d ω_d
