Abstract
Periodic foundations for seismic isolation are getting increasing attention in the field of civil engineering. Initial stresses due to the vertical loads from the upper structures exist in periodic foundations. In the present paper, attenuation zones of two-dimensional periodic foundations including the effect of vertical loads are studied by the weak form quadrature element method. Comparisons with existing results in special cases without the effect of vertical loads are conducted to validate the proposed method, and good agreement is found. A comprehensive parametric study is conducted to investigate the effects of vertical loads on the attenuation zones. Moreover, frequency-domain and time-domain response analyses of a two-dimensional periodic foundation with finite unit cells are conducted to verify the theoretical results. The results show that bound frequencies of the attenuation zones, corresponding to the vibration mode of the core, are affected by vertical loads. It is also found that vertical loads shift the complete attenuation zones to lower frequencies and reduce the attenuation coefficients in the attenuation zones.
Highlights
As a new kind of seismic isolation technique, periodic foundations possess good seismic isolation performance due to the unique dynamic characteristic of attenuation zones (AZs) [1,2,3,4,5]
Jia and Shi [13] firstly proposed the application of 2D locally-resonant periodic foundations in seismic isolation and systematically the effect of geometric and material parameters on the AZs by using the finite element method
Combining the weak form quadrature element method and the Bloch theorem, the effect of Combining the weak form quadrature element method and the Bloch theorem, the effect of vertical loads on AZs of 2D locally-resonant periodic foundations were studied by simplifying the vertical loads on AZs of 2D locally-resonant periodic foundations were studied by simplifying the effect of vertical loads as initial stresses
Summary
As a new kind of seismic isolation technique, periodic foundations possess good seismic isolation performance due to the unique dynamic characteristic of attenuation zones (AZs) [1,2,3,4,5]. Seismic waves with frequencies in the AZs will be attenuated effectively in the periodic foundations [6,7]. Jia and Shi [13] firstly proposed the application of 2D locally-resonant periodic foundations in seismic isolation and systematically the effect of geometric and material parameters on the AZs by using the finite element method. The effect of vertical loads on AZs of 2D periodic foundations has [16,17]. The weak form quadrature element method is applied to study the AZs of 2D periodic periodic foundations, including the effect of vertical loads.
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