To What Type of Beam Can be Associated a Building?

Abstract eng:
This article is devoted to the study of the dynamics of usual buildings made up of identical stories. The aim is to build analytical beam models enabling to describe the first horizontal modes of vibrations. The homogenization method of periodic discrete media is applied to a class of unbraced framed structures. Depending on the order of magnitude of the shear force and two bending moments, seven families of beam are proved to be possible. The macroscopic parameters of the homogenized model are expressed in function of the static mechanical and geometrical characteristics of the frame elements. Simple criteria are established to identify the relevant model for real structures. Lastly, the models are validated by comparison with numerical calculations and experimental data.

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