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Treating the wind-excited motion of a multistory building as a random vibration problem, the input-output spectral density relationships are derived using a transfer matrix formulation. In this analysis the motion of the building is restricted to the direction parallel to the average wind flow, the along-wind direction; and the structural response is represented by a displacement variable and a force variable in each story unit. A 40-story building is used as a numerical example.
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Yang et al. (1981) studied this question.
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