Solutions Manual Dynamics Of Structures 3rd Edition Ray W · Validated

7.1. The seismic response of a structure can be analyzed using: * Response spectrum analysis * Time history analysis 7.2. The ductility factor is: * μ = x_{max}/x_y

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6.1. The frequency response function of a single degree of freedom system is: * H(ω) = 1/(k - m ω^2 + i c ω) 6.2. The power spectral density of a random process is: * S(ω) = ∫∞ -∞ R(t) e^{-i ω t}dt The frequency response function of a single degree

3.1. The equation of motion for a multi-degree of freedom system is: * [M]*x'' + [C]*x' + [K]*x = F(t) 3.2. The mode shapes of a multi-degree of freedom system can be obtained by solving the eigenvalue problem: * [K] Φ = λ [M]*Φ