土—细长结构物相互作用的非线性动力学研究
发布时间：2018-11-07 16:30
【摘要】：在土木工程领域，土-结构相互作用问题是结构动力响应分析及相关设计的重要组成部分。在地震动激励下，以大跨度桥梁和重大岩土工程为例，其下部结构物的动力响应均对结构体系的抗震性能有重要影响。由工程实际可知，结构物的下部基础通常为细长结构物，且按基本特征可分为横向细长结构物(弹性地基梁)和纵向细长结构物(桩)。从传统的观点看，已有研究普遍认为弹性地基对其支承结构物有较强的约束作用，并将显著抑制土-结构相互作用的动力响应。因此，对于土-细长结构物相互作用的已有研究则多关注其线性特性，并弱化了土-结构相互作用特性对于结构物动力响应的影响效应。显然，，将非线性动力学理论运用到土-细长结构物相互作用动力响应建模及分析的研究仍十分少见。 为精确揭示土-细长结构物相互作用的动力响应，需要将土-结构相互作用效应在结构动力响应中的贡献引入到系统的建模分析中。通过系统研究可知，若考虑土-结构相互作用引起的二次弯矩效应，则土-细长结构物相互作用精细化模型的非线性动力学方程中将含有多种非线性项：平方非线性、立方非线性和参数激励项。因此，从非线性动力学角度看，此时土-细长结构物相互作用的动力响应中可能存在非常丰富的非线性动力学现象。为全面揭示土-细长结构物相互作用的非线性动力学特性，本论文考虑土-结构相互作用影响效应及细长结构物的几何非线性，建立了弹性地基梁和桩的精细化动力学模型。进而，结合非线性动力学理论，运用多尺度方法对土-细长结构物的非线性动力响应进行系统研究。同时，基于理论计算结果，分析了弹性地基参数、地基模型、边界约束等对土-细长结构物相互作用非线性动力响应的影响。最终，为促进研究成果的应用，与理论试验设计和统计分析相结合，针对土-细长结构物相互作用的非线性动力响应提出了动力参数筛选及设计方法。本论文的主要内容及创新点为以下几个方面： 1.鉴于土-结构相互作用问题的重要性，本文首次将土-结构相互作用引起的二次弯矩效应引入到非线性动力学研究中。基于本文研究可知，土-结构相互作用引起的非线性特性可归为一类新的非线性现象。新非线性特性的发现拓展了非线性动力学的理论研究，有重要的理论意义。 2.为研究弹性地基模型对其支承结构物动力响应特性的影响，本文在推导出三参数(Kerr模型)地基反力的显式近似表达式的基础上，给出了四种常见模型(Winkler、Vlasov、Pasternak、Kerr)地基反力的统一表达式。进而，提出了弹性地基模型对结构物动力响应影响效应的对比评价方法。 3.将土-结构相互作用产生的二次弯矩效应引入到土-细长结构物的动力学建模中，分别利用Newton法和Hamilton原理建立了弹性地基梁的非线性动力学模型。进而，研究了土-结构相互作用效应对于弹性地基梁非线性动力响应特性的影响。并且，通过弹性地基梁非线性内共振响应研究发现，二次弯矩效应导致了连续系统保守特性的破坏。 4.基于本文所建模型，对弹性地基梁的自由振动进行了分析，发现其面内运动固有频率谱中存在截止频率。进而，对比研究了系统在截止频率前后的模态构型及线性和非线性动力响应特性。显然，本文提出的精细化模型可更全面地揭示不同场地支承时细长结构物的动力学特性。 5.将二次弯矩效应影响引入到纵向细长结构物的动力响应研究中，运用Hamilton原理建立了水平/轴向受荷桩的非线性动力学分析模型。进而，与非线性动力学理论相结合，研究了桩的多阶屈曲现象及屈曲频率问题。为拓展研究并结合工程实践需求，在群桩基础的非线性动力响应研究中考虑群桩效应影响，并对比研究了群桩效应对系统动力响应中土-结构相互作用效应的影响。 6.基于理论试验设计和统计分析方法，提出了土-细长结构物相互作用的动力参数设计。利用该动力参数设计方法，可有效地筛选出对目标响应影响显著的关键参数，并可量化和直观展现参数的影响效应，进而为结构的动力设计和优化提供理论指导。
[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.
【学位授予单位】：湖南大学
【学位级别】：博士
【学位授予年份】：2013
【分类号】：TU311.3
本文编号：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.
【学位授予单位】：湖南大学
【学位级别】：博士
【学位授予年份】：2013
【分类号】：TU311.3
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