剛性圓盤基礎之滑移及搖擺波傳反應

本文將利用基礎滑移及搖擺波傳運動方程式及阻抗矩陣之解析解，推導彈性或粘彈性半無限空間上之表面剛性圓盤基礎在SV波垂直入射及搖擺波擾動下之滑移及搖擺波傳反應（包含水平翻轉耦合效應及基礎厚度之影響）。無因次化參數分析結果顯示，表面剛性圓盤基礎之水平及翻轉反應，皆可簡化為柏松比、厚度比、無因次頻率及質量比的函數；水平及翻轉反應，低頻時皆隨著無因次質量比增加而增加，高頻時則隨之減少，二共振頻率則隨之降低且有互相接近之趨勢；柏松比增加SV波垂直入射之翻轉反應或搖擺波擾動之水平反應迅速降低，SV波垂直入射之水平反應或搖擺波擾動之翻轉反應，低頻時隨之減少，高頻時則隨之增加，柏松比越接近0.5對反應之影響越大；厚度比極大時，基礎在SV波垂直入射或搖擺波擾動下之水平及翻轉反應皆不再改變；粘彈性半無限空間上之水平及翻轉反應，皆有隨阻尼比增加而迅速降低，共振頻率輕微減少之趨勢。

關鍵字

三維度分析；土壤結構互制；搖擺波

並列摘要

This research is to explore the analytical solutions of wave propagation motion equation and impedance of foundation under sliding and rocking. The responses of foundation situated on infinite half space subjected to SV wave with vertical input leading to sliding and rocking perturbations are derivate in this study. The responses of rigid disks in the sliding and rocking are correlated with Poisson's ratio, thickness ratio, non-dimensional frequency and mass ratio with non-dimensional parametrical methodology. The sliding and rocking responses are amplified with an increase in non-dimensional mass ratio in the low frequency, but de-amplified in the high frequency. The peak sliding and rocking responses de-amplified with an increase in non-dimensional mass ratio and these peak are approaching closely accordingly. The increase in the Poisson's ratio leads to decrease in the sliding and rocking responses subjected to SV wave with vertical input in the low frequency and a contradiction in the high frequency. This becomes pronounced when the Poisson's ratio approximates to a value of 0.5. The peak sliding and rocking responses are unvaried when the thickness ratio becomes infinite. The viscous damping ratio resulted in reducing the sliding and rocking amplitudes of foundations in viscous elastic infinite half space.

並列關鍵字

three-dimensional analysis ； soil-structure interaction ； Rocking Seismic Waves

國際替代計量

剛性圓盤基礎之滑移及搖擺波傳反應

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