Mean-Square Structural Response to Stationary Ground Acceleration

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Abstract
Second-moment statistics are obtained for modal and structural responses of linear structures with classical modes of vibration subjected to stationary input ground accelerations, during the steady-state period of motion. These statistics are found by analysis in the time-domain based on the theory of linear systems. Their determination involves only simple algebraic operations for piecewise linear input spectra. The approach, in general, for any ground or floor spectra can be approximated by a piecewise linear function. An asymmetric space structure and a planar shear frame are analyzed to illustrate applications of the proposed approach.

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