Seismic input method and ground motion field simulation of canyon dam sites based on FEM-IBIEM

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Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (6) : 244-253.

EARTHQUAKE SCIENCE AND STRUCTURE SEISMIC RESILIENCE

Seismic input method and ground motion field simulation of canyon dam sites based on FEM-IBIEM

WANG Fei1,2, LIU Yunhe*3, LI Hu1,4, XUE Bing1,4, MOU You1,4, SONG Zhiqiang3

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Abstract

Seismic input is the foundation of seismic safety analysis for dams, but the influence of canyon scattering effects on dam dynamic response has not been reasonably considered in seismic input. This paper decomposes the total motion field of the canyon site into the free field motion of a flat half space and the scattering field motion of the canyon, which are solved separately. The indirect boundary integral equation method is used to solve the scattering field of the canyon site, and it is superimposed with the free field of a flat half space to obtain the total motion field (ground motion field) of the canyon site. The accuracy of the indirect boundary integral equation method is verified through closed form solutions. Furthermore, the finite element method is used to simulate the interior of the canyon site, and the total motion field at the truncated boundary of the canyon foundation is converted into the equivalent seismic input loads, establishing a wave input method that combines the total motion field with viscoelastic artificial boundaries. The seismic wave input method based on finite element method-indirect boundary integral equation method is applied to numerically solve the ground motion field of a trapezoidal canyon site, and the differences in dynamic response of the canyon under free field wave input and total motion field wave input are analyzed. The results show that there is a significant deviation between the peak displacement and waveform of key position of the canyon under the free field wave input and the exact solution, the maximum errors of horizontal and vertical displacements are 15.6% and 29.3%, respectively. The peak displacement and waveform under the total motion field wave input fit well with the exact solution. The wave input method established in this paper has high calculation accuracy and reasonably considers the scattering effect of canyons, providing a basis for more accurate prediction of the dynamic response of dams on canyons.

Key words

canyon / scattering effect / indirect boundary integral equation method / seismic input / total motion field

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WANG Fei1, 2, LIU Yunhe3, LI Hu1, 4, XUE Bing1, 4, MOU You1, 4, SONG Zhiqiang3. Seismic input method and ground motion field simulation of canyon dam sites based on FEM-IBIEM[J]. Journal of Vibration and Shock, 2025, 44(6): 244-253

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