土—細(xì)長結(jié)構(gòu)物相互作用的非線性動力學(xué)研究
發(fā)布時間：2018-11-07 16:30
【摘要】：在土木工程領(lǐng)域，土-結(jié)構(gòu)相互作用問題是結(jié)構(gòu)動力響應(yīng)分析及相關(guān)設(shè)計的重要組成部分。在地震動激勵下，以大跨度橋梁和重大巖土工程為例，其下部結(jié)構(gòu)物的動力響應(yīng)均對結(jié)構(gòu)體系的抗震性能有重要影響。由工程實際可知，結(jié)構(gòu)物的下部基礎(chǔ)通常為細(xì)長結(jié)構(gòu)物，且按基本特征可分為橫向細(xì)長結(jié)構(gòu)物(彈性地基梁)和縱向細(xì)長結(jié)構(gòu)物(樁)。從傳統(tǒng)的觀點看，已有研究普遍認(rèn)為彈性地基對其支承結(jié)構(gòu)物有較強(qiáng)的約束作用，并將顯著抑制土-結(jié)構(gòu)相互作用的動力響應(yīng)。因此，對于土-細(xì)長結(jié)構(gòu)物相互作用的已有研究則多關(guān)注其線性特性，并弱化了土-結(jié)構(gòu)相互作用特性對于結(jié)構(gòu)物動力響應(yīng)的影響效應(yīng)。顯然，，將非線性動力學(xué)理論運(yùn)用到土-細(xì)長結(jié)構(gòu)物相互作用動力響應(yīng)建模及分析的研究仍十分少見。 為精確揭示土-細(xì)長結(jié)構(gòu)物相互作用的動力響應(yīng)，需要將土-結(jié)構(gòu)相互作用效應(yīng)在結(jié)構(gòu)動力響應(yīng)中的貢獻(xiàn)引入到系統(tǒng)的建模分析中。通過系統(tǒng)研究可知，若考慮土-結(jié)構(gòu)相互作用引起的二次彎矩效應(yīng)，則土-細(xì)長結(jié)構(gòu)物相互作用精細(xì)化模型的非線性動力學(xué)方程中將含有多種非線性項：平方非線性、立方非線性和參數(shù)激勵項。因此，從非線性動力學(xué)角度看，此時土-細(xì)長結(jié)構(gòu)物相互作用的動力響應(yīng)中可能存在非常豐富的非線性動力學(xué)現(xiàn)象。為全面揭示土-細(xì)長結(jié)構(gòu)物相互作用的非線性動力學(xué)特性，本論文考慮土-結(jié)構(gòu)相互作用影響效應(yīng)及細(xì)長結(jié)構(gòu)物的幾何非線性，建立了彈性地基梁和樁的精細(xì)化動力學(xué)模型。進(jìn)而，結(jié)合非線性動力學(xué)理論，運(yùn)用多尺度方法對土-細(xì)長結(jié)構(gòu)物的非線性動力響應(yīng)進(jìn)行系統(tǒng)研究。同時，基于理論計算結(jié)果，分析了彈性地基參數(shù)、地基模型、邊界約束等對土-細(xì)長結(jié)構(gòu)物相互作用非線性動力響應(yīng)的影響。最終，為促進(jìn)研究成果的應(yīng)用，與理論試驗設(shè)計和統(tǒng)計分析相結(jié)合，針對土-細(xì)長結(jié)構(gòu)物相互作用的非線性動力響應(yīng)提出了動力參數(shù)篩選及設(shè)計方法。本論文的主要內(nèi)容及創(chuàng)新點為以下幾個方面： 1.鑒于土-結(jié)構(gòu)相互作用問題的重要性，本文首次將土-結(jié)構(gòu)相互作用引起的二次彎矩效應(yīng)引入到非線性動力學(xué)研究中。基于本文研究可知，土-結(jié)構(gòu)相互作用引起的非線性特性可歸為一類新的非線性現(xiàn)象。新非線性特性的發(fā)現(xiàn)拓展了非線性動力學(xué)的理論研究，有重要的理論意義。 2.為研究彈性地基模型對其支承結(jié)構(gòu)物動力響應(yīng)特性的影響，本文在推導(dǎo)出三參數(shù)(Kerr模型)地基反力的顯式近似表達(dá)式的基礎(chǔ)上，給出了四種常見模型(Winkler、Vlasov、Pasternak、Kerr)地基反力的統(tǒng)一表達(dá)式。進(jìn)而，提出了彈性地基模型對結(jié)構(gòu)物動力響應(yīng)影響效應(yīng)的對比評價方法。 3.將土-結(jié)構(gòu)相互作用產(chǎn)生的二次彎矩效應(yīng)引入到土-細(xì)長結(jié)構(gòu)物的動力學(xué)建模中，分別利用Newton法和Hamilton原理建立了彈性地基梁的非線性動力學(xué)模型。進(jìn)而，研究了土-結(jié)構(gòu)相互作用效應(yīng)對于彈性地基梁非線性動力響應(yīng)特性的影響。并且，通過彈性地基梁非線性內(nèi)共振響應(yīng)研究發(fā)現(xiàn)，二次彎矩效應(yīng)導(dǎo)致了連續(xù)系統(tǒng)保守特性的破壞。 4.基于本文所建模型，對彈性地基梁的自由振動進(jìn)行了分析，發(fā)現(xiàn)其面內(nèi)運(yùn)動固有頻率譜中存在截止頻率。進(jìn)而，對比研究了系統(tǒng)在截止頻率前后的模態(tài)構(gòu)型及線性和非線性動力響應(yīng)特性。顯然，本文提出的精細(xì)化模型可更全面地揭示不同場地支承時細(xì)長結(jié)構(gòu)物的動力學(xué)特性。 5.將二次彎矩效應(yīng)影響引入到縱向細(xì)長結(jié)構(gòu)物的動力響應(yīng)研究中，運(yùn)用Hamilton原理建立了水平/軸向受荷樁的非線性動力學(xué)分析模型。進(jìn)而，與非線性動力學(xué)理論相結(jié)合，研究了樁的多階屈曲現(xiàn)象及屈曲頻率問題。為拓展研究并結(jié)合工程實踐需求，在群樁基礎(chǔ)的非線性動力響應(yīng)研究中考慮群樁效應(yīng)影響，并對比研究了群樁效應(yīng)對系統(tǒng)動力響應(yīng)中土-結(jié)構(gòu)相互作用效應(yīng)的影響。 6.基于理論試驗設(shè)計和統(tǒng)計分析方法，提出了土-細(xì)長結(jié)構(gòu)物相互作用的動力參數(shù)設(shè)計。利用該動力參數(shù)設(shè)計方法，可有效地篩選出對目標(biāo)響應(yīng)影響顯著的關(guān)鍵參數(shù)，并可量化和直觀展現(xiàn)參數(shù)的影響效應(yīng)，進(jìn)而為結(jié)構(gòu)的動力設(shè)計和優(yōu)化提供理論指導(dǎo)。
[Abstract]:In the field of civil engineering, the soil-structure interaction problem is an important part of structural dynamic response analysis and related design. In the case of ground motion, the dynamic response of the substructures has an important influence on the seismic performance of the structural system in the case of large-span bridges and major geotechnical engineering. As can be seen from the engineering practice, the lower foundation of the structure is generally an elongated structure and can be divided into a transverse elongated structure (elastic foundation beam) and a longitudinally elongated structure (pile) according to the essential characteristics. From the traditional point of view, it is widely believed that the elastic foundation has a strong restraining effect on its support structure and will significantly inhibit the dynamic response of soil-structure interaction. Therefore, the existing research on the interaction of soil-elongated structures is of great concern to its linear characteristics, and the effect of the soil-structure interaction characteristics on the dynamic response of the structure is weakened. It is clear that the application of the nonlinear dynamic theory to the dynamic response modeling and analysis of soil-elongated structures is still very rare. To accurately reveal the dynamic response of soil-slender structure interaction, the contribution of soil-structure interaction effect in structural dynamic response is introduced into the modeling of the system In the analysis, if the secondary bending moment effect caused by soil-structure interaction is considered, the nonlinear dynamic equations of the soil-slender structure interaction refinement model will contain a variety of non-linear terms: square non-linear, cubic non-linear and parametric excitation. in a non-linear dynamic point of view, there may be very rich nonlinear dynamics in the dynamic response of the soil-to-thin structure interaction. In order to fully reveal the nonlinear dynamic characteristics of soil-slender structure interaction, this paper considered the effect of soil-structure interaction and the geometric nonlinearity of the slender structure, and established the fine dynamics of the elastic foundation beam and the pile. In this paper, the nonlinear dynamic response of soil-elongated structure is studied by multi-scale method in combination with the nonlinear dynamics theory. At the same time, based on the theoretical calculation results, the nonlinear dynamic response of the elastic foundation parameters, the foundation model, the boundary constraint and the like to the soil-slender structure interaction is analyzed. Finally, in order to promote the application of the research results, the dynamic parameter selection and design are put forward for the nonlinear dynamic response of the soil-slender structure interaction with the combination of the theoretical test design and the statistical analysis. Methods: The main contents and innovation points of this thesis are the following: Aspect: 1. In view of the importance of the soil-structure interaction problem, the second bending moment effect caused by soil-structure interaction is introduced to the nonlinear motion for the first time. In the study of mechanics, the nonlinear characteristics caused by soil-structure interaction can be classified into a new class based on the study of this paper. Non-linear phenomena. The discovery of the new non-linear property expands the theoretical study of the nonlinear dynamics, which is of great importance. In this paper, four common models (Winkler, Vlasov, Pasternak, Kerr) are given on the basis of deriving the explicit approximate expression of the ground reaction force of the three-parameter (Kerr) model. In addition, the effect of the elastic foundation model on the dynamic response of the structure is put forward. The second bending moment effect of the soil-structure interaction is introduced into the dynamic modeling of the soil-slender structure, and the elastic ground is established by the Newton method and the Hamilton principle, respectively. In this paper, the nonlinear dynamic model of the base beam is studied, and the soil-structure interaction effect is studied for the non-linear dynamic model of the elastic foundation beam. The effect of the secondary bending moment effect is found by the nonlinear internal resonance response of the elastic foundation beam. The damage of the conservative property of the continuous system is 4. The free vibration of the elastic foundation beam is analyzed based on the model built in this paper. In this paper, the cut-off frequency is present in the natural frequency spectrum of the motion. The modal structure of the system before and after the cut-off frequency is compared and studied. It is clear that the refined model proposed in this paper can reveal different sites more fully The dynamic characteristics of the elongated structures at the time of the support. 5. The effect of the secondary bending moment is introduced into the dynamic response study of the longitudinal elongated structure, and the level is established by the Hamilton principle. The nonlinear dynamic analysis model of the/ axial load-bearing pile. The multi-order buckling and the buckling frequency of the pile are studied. In order to expand the research and to combine the practical needs of the project, the effect of the pile effect is considered in the nonlinear dynamic response study of the group pile foundation, and the effect of the pile effect on the system is compared. The influence of the interaction effect of soil-structure in the response of force. The dynamic parameter design of the interaction between the soil and the slender structure is shown. The key parameters that influence the target response can be effectively selected by using the dynamic parameter design method, and the effect of the parameters can be quantified and visualized.
【學(xué)位授予單位】：湖南大學(xué)
【學(xué)位級別】：博士
【學(xué)位授予年份】：2013
【分類號】：TU311.3
本文編號：2316913
[Abstract]:In the field of civil engineering, the soil-structure interaction problem is an important part of structural dynamic response analysis and related design. In the case of ground motion, the dynamic response of the substructures has an important influence on the seismic performance of the structural system in the case of large-span bridges and major geotechnical engineering. As can be seen from the engineering practice, the lower foundation of the structure is generally an elongated structure and can be divided into a transverse elongated structure (elastic foundation beam) and a longitudinally elongated structure (pile) according to the essential characteristics. From the traditional point of view, it is widely believed that the elastic foundation has a strong restraining effect on its support structure and will significantly inhibit the dynamic response of soil-structure interaction. Therefore, the existing research on the interaction of soil-elongated structures is of great concern to its linear characteristics, and the effect of the soil-structure interaction characteristics on the dynamic response of the structure is weakened. It is clear that the application of the nonlinear dynamic theory to the dynamic response modeling and analysis of soil-elongated structures is still very rare. To accurately reveal the dynamic response of soil-slender structure interaction, the contribution of soil-structure interaction effect in structural dynamic response is introduced into the modeling of the system In the analysis, if the secondary bending moment effect caused by soil-structure interaction is considered, the nonlinear dynamic equations of the soil-slender structure interaction refinement model will contain a variety of non-linear terms: square non-linear, cubic non-linear and parametric excitation. in a non-linear dynamic point of view, there may be very rich nonlinear dynamics in the dynamic response of the soil-to-thin structure interaction. In order to fully reveal the nonlinear dynamic characteristics of soil-slender structure interaction, this paper considered the effect of soil-structure interaction and the geometric nonlinearity of the slender structure, and established the fine dynamics of the elastic foundation beam and the pile. In this paper, the nonlinear dynamic response of soil-elongated structure is studied by multi-scale method in combination with the nonlinear dynamics theory. At the same time, based on the theoretical calculation results, the nonlinear dynamic response of the elastic foundation parameters, the foundation model, the boundary constraint and the like to the soil-slender structure interaction is analyzed. Finally, in order to promote the application of the research results, the dynamic parameter selection and design are put forward for the nonlinear dynamic response of the soil-slender structure interaction with the combination of the theoretical test design and the statistical analysis. Methods: The main contents and innovation points of this thesis are the following: Aspect: 1. In view of the importance of the soil-structure interaction problem, the second bending moment effect caused by soil-structure interaction is introduced to the nonlinear motion for the first time. In the study of mechanics, the nonlinear characteristics caused by soil-structure interaction can be classified into a new class based on the study of this paper. Non-linear phenomena. The discovery of the new non-linear property expands the theoretical study of the nonlinear dynamics, which is of great importance. In this paper, four common models (Winkler, Vlasov, Pasternak, Kerr) are given on the basis of deriving the explicit approximate expression of the ground reaction force of the three-parameter (Kerr) model. In addition, the effect of the elastic foundation model on the dynamic response of the structure is put forward. The second bending moment effect of the soil-structure interaction is introduced into the dynamic modeling of the soil-slender structure, and the elastic ground is established by the Newton method and the Hamilton principle, respectively. In this paper, the nonlinear dynamic model of the base beam is studied, and the soil-structure interaction effect is studied for the non-linear dynamic model of the elastic foundation beam. The effect of the secondary bending moment effect is found by the nonlinear internal resonance response of the elastic foundation beam. The damage of the conservative property of the continuous system is 4. The free vibration of the elastic foundation beam is analyzed based on the model built in this paper. In this paper, the cut-off frequency is present in the natural frequency spectrum of the motion. The modal structure of the system before and after the cut-off frequency is compared and studied. It is clear that the refined model proposed in this paper can reveal different sites more fully The dynamic characteristics of the elongated structures at the time of the support. 5. The effect of the secondary bending moment is introduced into the dynamic response study of the longitudinal elongated structure, and the level is established by the Hamilton principle. The nonlinear dynamic analysis model of the/ axial load-bearing pile. The multi-order buckling and the buckling frequency of the pile are studied. In order to expand the research and to combine the practical needs of the project, the effect of the pile effect is considered in the nonlinear dynamic response study of the group pile foundation, and the effect of the pile effect on the system is compared. The influence of the interaction effect of soil-structure in the response of force. The dynamic parameter design of the interaction between the soil and the slender structure is shown. The key parameters that influence the target response can be effectively selected by using the dynamic parameter design method, and the effect of the parameters can be quantified and visualized.
【學(xué)位授予單位】：湖南大學(xué)
【學(xué)位級別】：博士
【學(xué)位授予年份】：2013
【分類號】：TU311.3
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