本文選題：飽和土　切入點：土-結構相互作用　出處：《南京航空航天大學》2017年碩士論文

【摘要】：地震波入射時土與結構動力相互作用分析是地震工程領域的重要問題。基于問題的復雜性,過往的研究大多將地基土考慮為干土。而在實際工程中,土體中經(jīng)常充滿孔隙水,孔隙水對土層的地震反應影響較大,進而影響支撐于其上的基礎和上部結構的響應。因此,有必要考慮飽和土-基礎-結構動力相互作用問題。本文將三維土-基礎-結構動力相互作用分析方法推廣到飽和地基情形,并對飽和地基上的相互作用進行了簡要探討。本文的主要工作如下:(1)基于Biot模型,推導并實現(xiàn)了傳遞矩陣方法用于飽和成層土體在地震波入射時的反應分析。通過數(shù)值算例,驗證了該方法的有效性,發(fā)現(xiàn)和初步闡明了計算中出現(xiàn)的兩類違背因果律(即響應先于輸入)的現(xiàn)象,據(jù)此得到了滿足因果律的參數(shù)范圍,該范圍可作為實際計算時的一個上界。(2)采用時空分區(qū)顯-隱式異步算法,通過FORTRAN程序實現(xiàn)了三維飽和土-基礎-結構相互作用的時域直接分析方法,通過與顯-隱式同步算法的對比算例,驗證該異步算法在滿足精度的前提下,可較大提高計算效率。(3)實現(xiàn)柔性基礎情形的飽和土-基礎-結構動力相互作用分析。通過算例對比,考量剛性基礎數(shù)值模擬過程的合理性與柔性基礎計算失穩(wěn)問題。(4)將干土統(tǒng)一到飽和土的計算框架中,進一步實現(xiàn)了干土與飽和土混合情形時的土-結構動力相互作用分析,使得問題的模擬更貼近實際工程(如考慮地下水位情形)。通過算例對比了飽和土地基、干土地基、干土覆蓋飽和土地基情形時,土-結構相互作用對基礎和結構響應的影響,結果表明地下水位對基礎和結構響應的影響較大。(5)基于不規(guī)則加卸載準則的修正Davidenkov模型,考慮飽和土骨架的非線性特性,以一三維飽和土體及一框架結構與飽和土體相互作用問題為算例,分別考慮飽和土體為線性和非線性情形,對比分析了非線性對飽和土體、基礎和結構反應的影響。
[Abstract]:The analysis of dynamic interaction between soil and structure is an important problem in the field of seismic engineering.Due to the complexity of the problem, most previous studies have considered the foundation soil as dry soil.In practical engineering, the soil is often filled with pore water, which has a great influence on the seismic response of the soil layer, and then affects the response of the foundation and the superstructure supported on it.Therefore, it is necessary to consider the saturated soil-foundation-structure dynamic interaction.In this paper, the three-dimensional soil-foundation-structure dynamic interaction analysis method is extended to the saturated foundation case, and the interaction on the saturated foundation is discussed briefly.The main work of this paper is as follows: (1) based on the Biot model, the transfer matrix method is derived and realized for the response analysis of saturated layered soil under the incident seismic wave.The validity of the method is verified by numerical examples, and two kinds of phenomena of violating causality law (i.e. response before input) are found and preliminarily clarified, and the range of parameters satisfying the causality law is obtained.This range can be used as an upper bound in practical calculation. (2) A direct time-domain analysis method of three-dimensional saturated soil-foundation structure interaction is realized by FORTRAN program using spatial-temporal explicit implicit asynchronous algorithm.By comparing with the explicit and implicit synchronous algorithm, it is verified that the asynchronous algorithm can greatly improve the computational efficiency on the premise of satisfying the accuracy. It can realize the saturated soil-foundation structure dynamic interaction analysis in the case of flexible foundation.Considering the rationality of the numerical simulation process of rigid foundation and the instability problem of flexible foundation calculation, the dry soil is unified into the calculation frame of saturated soil.Furthermore, the soil-structure dynamic interaction analysis in the case of dry soil and saturated soil is realized, which makes the simulation of the problem more close to the actual engineering (for example, considering the groundwater level case).The effects of soil-structure interaction on the foundation and structural response of saturated soil foundation, dry soil foundation and dry soil covering saturated soil foundation are compared by numerical examples.The results show that the influence of groundwater level on the response of foundation and structure is great. (5) based on the modified Davidenkov model of irregular loading and unloading criterion, the nonlinear characteristics of saturated soil skeleton are considered.Taking the one dimensional saturated soil and the interaction between a frame structure and saturated soil as an example, the effects of nonlinearity on saturated soil, foundation and structure response are compared and analyzed, respectively, considering the linear and nonlinear cases of saturated soil.
【學位授予單位】：南京航空航天大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：TU435

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