Dynamic response of non‐linear building‐foundation systems

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Abstract
An analysis is made of the steady‐state response of a bilinear hysteretic structure supported on the surface of a viscoelastic half‐space. The method of equivalent linearization is used to solve the equations of motion, and simplified approximate formulas are obtained for the fundamental resonant frequency of the system and for an effective critical damping ratio. Numerical results indicate that for non‐linear hysteretic structures compliance of the soil foundation may lead to larger displacements than would occur if the base were rigid. This behaviour differs from that generally observed for linear systems, for which the effect of soil‐structure interaction is to reduce the rigid‐base response.

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