加勁擋土牆之牆面與頂部沉陷預測方法

Prediction of Facing Deformations and Top Settlement of Geosynthetic-Reinforced Walls

林柏宏(Bo-Hung Lin)

指導教授 ： 劉家男

國立暨南國際大學/科技學院/土木工程學系/博士(2017年)

摘要

本論文描述一種方法，運用RSM（響應曲面法）方程式來預測MSE（加勁擋土牆）牆的牆面變形。內文中第2 章主要描述了MSE 加勁擋土牆，透過響應曲面全形二階形式來預測最大牆面位移的值，該公式內含六個關鍵參數函數。首先使用這六個控制參數，這每一個參數會對應三個不同的數值去進行大量數值分析，之後可以得到729個數值模擬的結果，接下來使用常見的最小平方法來找到響應曲面方程的參數係數項即可獲得RSM 預測公式。在文中第3 章介紹MSE 牆對牆面最大變形的性能分析。牆面變形概率與性能的影響將運用響應曲面法的方程式來進行蒙特卡羅模擬，這對響應曲面法來說是非常簡單的，RSM 通過一系列參數分析，來確定參數在不同大小和不確定性條件下之結果為何。第4 章描述MSE 牆的運用拋物線公式來預測全面牆面變形以及牆頂沉降曲線之行為。該方法乃是基於側向土壓力載重轉移至回填土，再到牆面元素和加勁材料的理論為基礎。因此可用牆面變形來直接地判斷擋土牆的穩定性。第5 章研究，使用RSM 預測回包式牆面的最大變形。使用七個控制參數對應每一個參數會對應三個不同的數值去進行大量數值分析，設定後就可以得到1458 個數值模擬的結果，接下來使用常見最小平方法來找到響應表面方程的參數係數項即可得到RSM 預測公式。第6章總結了本研究的結果，並對未來的研究工作提出建議。

關鍵字

最大位移 ； 響應曲面法(RSM) ； 地工合成材料 ； MSE 牆 ； 回包牆面 ； 變形 ； 蒙地卡羅模擬 ； 數值分析

並列摘要

This thesis described RSM (Response surface method) equation to predict MSE(mechanically stabilized earth) walls of deformation. Chapter 2 describes MSE reinforced
retaining wall by a response surface of full quadratic form was used to predict maximum wall displacement as a function of the six key parameters. The results of a second set of 729 numerical simulations corresponding to the maximum number of possible permutations of three different values for each of the six control parameters were used to find the coefficient terms for the response surface equation using a conventional least squares method. Chapter 3 presents an analysis of MSE wall targeting on the wall performance, explicitly the maximum
wall face deformation. The format of an response surface method equation is simple enough for conducting Monte Carlo simulation. A series of parametric analysis is conducted to identify how the magnitude and uncertainty of the parameters affect the probabilistic performance of wall face deformation. Chapter 4 describe a parabolic formula for MSE walls facing pattern displacement and top settlement curve behavior. Based on Lateral earth pressure loading are transferred to backfill soils, facing elements and reinforcements. Hence, facing deformation is an easy way to intuitively judge the wall stability. Chapter 5 studies the RSM Prediction method for wrapped face wall of facing maximum deformation. The results of a second set of 1458 numerical simulations corresponding to the maximum number of possible permutations of three different values for each of the seven control parameters were used to find the coefficient terms for the response surface equation using a conventional least squares method. Chapter 6 concludes the result of the present studies and gives suggestion for the future works.

並列關鍵字

Maximum displacement ； Response surface method (RSM) ； Geosynthetics ； MSE walls ； Wrapped face walls ； Deformation ； Monte carlo simulation ； Numerical analysis

參考文獻

REFERENCES

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