本研究嘗試對垂直振動下之實際基礎土壤互制系統建立簡化分析模式，先以11種基本單元為基礎，建立93組簡化模型，期使簡化模式與實際基礎土壤互制系統在靜態與動態下皆具有相同之反應，再以最佳化分析取得最佳的簡化模型，以應用於模擬土壤，並大量降低分析所需時間。
本研究針對表面方形基礎層狀土壤、埋置方形基礎層狀土壤與埋置圓柱基礎單層土壤三類互制系統，以動態反應放大因數為比較對象，分別與理論解、電腦程式SASSI及國內外學者之簡化模型相互論證。研究結果顯示，本研究之簡化模式可一併有效模擬埋置基礎與層狀土壤互制系統，於土壤結構互制系統之簡化有相當明顯之突破。

This thesis proposes a simplified model for vertical vibration of practical foundation-soil systems. Based on eleven basic units, ninety-three simplified models are established so that each one has equivalent static and dynamic responses of the practical foundation-soil system. The proposed simplified model is obtained by optimization analysis, which can be used to simulate the soil and greatly reduces the time required for dynamic analysis.
In this study, the surface square foundation on layered soil, the embedded square foundation in layered soil, and the embedded cylindrical foundation in homogeneous soil are further analyzed to investigate the applicability of the proposed method. The results are compared to those by theoretical solutions, computer program SASSI, and existing simplified models, which shows that the proposed simplified model can effectively simulate the layered soil with embedded foundation and has the new breakthrough in soil-structure interaction domain.

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