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1.
固体介质中非线性波的能量初探   总被引:3,自引:2,他引:1       下载免费PDF全文
本文从能源问题与勘探问题的密切关系出发,提出进行深入的非线性波研究的必要性——进一步提供可靠而详实的地质资料,以解决实际地质问题.说明了非线性科学与非线性波动的关系和特点,非线性波动是非线性科学的一个重要的分支,而地球本身的特点也决定了非线性科学是解决地质问题的重要基础.回顾了波动理论的研究历程及当今国内外非线性研究的进展情况.通过上述认识,提出了非线性波动问题中能量的重要性,然后分别从震源与冲击波的形成,界面处的能量分配,介质中能量的衰减,波的相互作用四个方面讨论了非线性波的能量问题.通过对能量问题的讨论,进一步讨论了影响非线性波能量的因素.从能量的角度出发,探讨了以后进行固体中非线性波研究的重点.最后对非线性波在地学应用中的可能性进行了探讨.  相似文献   

2.
Nonlinear fastest growing perturbation, which is related to the nonlinear singular vector and nonlinear singular value proposed by the first author recently, is obtained by numerical approach for the two-dimensional quasigeostrophic model in this paper. The difference between the linear and nonlinear fastest growing perturbations is demonstrated. Moreover, local nonlinear fastest growing perturbations are also found numerically. This is one of the essential differences between linear and nonlinear theories, since in former case there is no local fastest growing perturbation. The results show that the nonlinear local fastest growing perturbations play a more important role in the study of the first kind of predictability than the nonlinear global fastest growing perturbation.  相似文献   

3.
Cable net facades are widely used as a new kind of glazing system and have many advantages, such as pleasing esthetics and easy constructability. With the characteristics of low stiffness, light weight, and small damping, cable net facades are obviously geometrically nonlinear, and the response spectrum method may have some limitations in the seismic design of cable net façades. Therefore, the nonlinear vibration differential equation and natural frequency of the cable net subject to earthquakes was deduced, and then the geometrically nonlinear single-degree of freedom model was founded. Second, with the geometrically nonlinear single-degree of freedom model, the nonlinear seismic response of the cable net was calculated with the time history method subject to four groups of site conditions, and the nonlinear response spectra were founded. Third, the linear and nonlinear acceleration and displacement spectra were compared thoroughly. Lastly, shaking table tests were conducted to verify the accuracy of the nonlinear response spectra.  相似文献   

4.
钢筋混凝土开洞剪力墙结构抗震非线性有限元分析   总被引:6,自引:1,他引:6  
本文以钢筋混凝土开洞剪力墙结构为研究对象,建立了该类结构动力非线性有限元分析计算及该类结构静力非线性pushover有限元分析计算的基本过程,并编制了相应的计算机程序.通过与实验分析结果的比较,检验了本文动力非线性有限元分析计算方法的准确程度,验证了静力非线性pushover有限元分析方法应用于开洞剪力墙抗震非线性性能评估的可靠性。  相似文献   

5.
动力基础系统非线性本构关系的研究   总被引:1,自引:1,他引:0  
采用理想集总参数计算体系,以三次幂多项式模型反映动力地基的非线性特性,将非线性幂函数作为循环荷载作用下系统位移-力关系的主干骨线,在此基础上按照Masing二倍法则,将骨线拓展为位移一力的滞回曲线,建立了动力基础双曲线滞回动力学模型。提出了非线性广义刚度函数的概念,建立了动力基础系统在不同振动形式下的非线性本构关系。  相似文献   

6.
Smith AJ 《Ground water》2008,46(2):228-238
Published frequency-domain solutions of periodic flow in aquifers apply strictly to mathematically linear systems that arise when aquifer diffusivity is assumed constant in space and time. This assumption can be invalid in phreatic aquifers that experience spatiotemporal variation in the free surface position and consequent variation in saturated thickness. A weakly nonlinear approach to formulating and solving periodic flow problems in the frequency domain can be applied in situations where conventional linearized approximations break down. The weakly nonlinear equations provide robust approximations of the true nonlinear response and require much less computational effort and time to solve than the full nonlinear problem. Nondimensional rules of thumb are presented for choosing between linear, weakly nonlinear and nonlinear solution strategies.  相似文献   

7.
地下结构地震反应分析中材料非线性的影响   总被引:1,自引:0,他引:1  
基于静、动统一数值分析方法,建立了考虑土与结构接触效应和材料非线性的地下结构地震反应分析模型,并利用通用有限元软件ANSYS对某地铁地下结构地震反应进行数值模拟,探讨了地下结构的非线性地震反应规律,并分析了材料非线性对地下结构地震反应的影响。结果表明:考虑土与地下结构材料的非线性特性后,地下结构在强地震作用下发生了较大的塑性变形,应力、应变最大值位置发生明显变化,应力、应变状态发生明显改变,而对位移、速度、加速度反应的影响不大。  相似文献   

8.
渡槽中流体非线性晃动的边界元模拟   总被引:20,自引:0,他引:20  
应用边界元法分析了流体非线性晃动及其对渡槽的作用效应,将所得结果与线性解析结果作了比较.数值计算表明:流体以较大幅度晃动时,线性模型结果与非线性边界元结果有较大偏差,计算有限幅流体晃动反应宜采用非线性模型.  相似文献   

9.
孙臻  刘伟庆 《地震工程学报》2020,42(6):1369-1376
为了研究不同设计参数条件下基础隔震结构非线性响应的概率密度演化特征,采用两质点模型来模拟基础隔震结构,隔震层与上部结构分别采用Bouc-Wen模型与刚度退化的Bouc-Wen模型来描述其非线性特征,运用概率密度演化理论,进行隔震结构非线性随机地震响应的概率密度演化分析。采用基于物理的随机地震动模型生成人工地震动,提出基础隔震结构非线性随机地震响应的概率密度演化分析的基本步骤。通过改变基础隔震结构的设计参数,同时考虑激励的随机性,研究基础隔震结构非线性随机地震响应的概率密度演化规律。结果表明,基础隔震结构的阻尼比、周期比和屈重比取合理范围,能使隔震结构上部和下部的位移可控。  相似文献   

10.
This study investigates the effect of nonlinear inertia on the dynamic response of an asymmetric building equipped with Tuned Mass Dampers (TMDs). In the field of structural engineering, many researchers have developed models to study the behavior of nonlinear TMDs, but the effect of nonlinear inertia has not received as much attention for asymmetric buildings. To consider nonlinear inertia, the equations of motion are derived in a local rotary coordinates system. The displacements and rotations of the modeled building and TMDs are defined by five-degree-of-freedom (5-DOFs). The equations of motion are derived by using the Lagrangian method. Also in the proposed nonlinear model, the equations of motion are different from a conventional linear model. In order to compare the response of the proposed nonlinear model and a conventional linear model, numerical examples are presented and the response of the modeled buildings are derived under harmonic and earthquake excitations. It is shown that if the nonlinear inertia is considered, the response of the modeled structures changes and the conventional linear approach cannot adequately model the dynamic behavior of the asymmetric buildings which are equipped with TMDs.  相似文献   

11.
岩土工程中存在许多不确定性,建筑物抗震规范设计中的标准设计谱实际代表着一种平均结果,并没有考虑到场地土体非线性参数的变异性。文中采用数值模拟的方法研究了土非线性参数变异性对标准设计谱的影响。给出了考虑土非线性参数变异性的概率设计谱。结果表明,土非线性参数变异性对标准设计谱的影响显著;粘性土和无粘性土的动剪切模量比对标准设计谱的影响决定于土非线性参数的概率水准,同时也取决于概率设计谱的频段;烈度7度、8度和9度下土体动剪切模量比变异性使标准设计谱平台最大变化50%、80%和100%,阻尼比变异性使标准设计谱平台最大变化40%、45%和60%。  相似文献   

12.
基岩上均匀场地中透镜体对地震动的非线性放大作用   总被引:1,自引:0,他引:1  
本文采用有限元方法研究基岩上均匀场地中透镜体对地震动的非线性放大作用,分析非线性放大作用和线性放大作用的差别,以及透镜体埋深、宽度、厚度以及输入地震波幅值和频谱等因素对非线性放大作用的影响.研究表明,透镜体的存在对地震动有显著的非线性放大作用,该放大作用可达30%;非线性放大作用一般小于线性放大作用;透镜体宽度对地表加速度反应谱的影响较大,埋深和厚度对地表加速度反应谱的影响较小;输入地震波幅值和频谱也有很大的影响.  相似文献   

13.
Optimal design theory for linear tuned mass dampers(TMD) has been thoroughly investigated,but is still under development for nonlinear TMDs.In this paper,optimization procedures in the time domain are proposed for design of a TMD with nonlinear viscous damping.A dynamic analysis of a structure implemented with a nonlinear TMD is conducted fi rst.Optimum design parameters for the nonlinear TMD are searched using an optimization method to minimize the performance index.The feasibility of the proposed optimiza...  相似文献   

14.
This paper presents a direct displacement-based design procedure for seismic retrofit of existing buildings using nonlinear viscous dampers according to equivalent linear systems. Unlike conventional methods, the equivalent linear viscous damping provided by the nonlinear viscous dampers is derived based on the assumption that the average energy dissipated between the linear and the nonlinear viscous dampers is equal. Also, the equivalent period and viscous damping for the equivalent linear systems which are used for representing the behavior of bare frames (the buildings without dampers) are derived from the concept of average storage energy and average dissipated energy, respectively. It is shown from nonlinear time-history analyses that the nonlinear action of the retrofitted structures can be reasonably captured by the presented direct displacement-based procedure.  相似文献   

15.
Management of open-channel flow systems requires accurate models of flow transfer. This article presents a simple nonlinear model representative of the flow transfer in a river reach. The model is obtained through linearization of a physical model, simplification using the cumulant matching method and analytic identification of a nonlinear model coinciding with the linear model around equilibrium points, corresponding to the hydraulic permanent regimes. The methodology is illustrated on the diffusive wave equation and the Saint-Venant equations. The obtained nonlinear models are compared in simulation to the initial models. The nonlinear model is shown to ensure mass conservation, despite the variable delay element of the model. The proposed model can reproduce the nonlinear behavior of the time-delay with discharge variations. It is well-suited for fast simulations, flow forecasting, and for controller design.  相似文献   

16.
非线性波动理论在地震勘探中的应用综述   总被引:4,自引:1,他引:3  
从非线性科学入手,详细地分析了非线性波动场产生的物理机制及国内科学者对非线性波动理论的研究现状,对非线性波动问题的求解技术进行详细概述,并分析了各种算法的特点,最后对非线性波动现场今研究的一些物理现象进行了综合分析,并探讨了非线性波动理论在地震勘探中的应用前景。  相似文献   

17.
The processes of seismic wave scattering and dissipation are examined in a medium that, in addition to being inhomogeneous and anelastic, is nonlinear and seismically active (seismic emission). In such a medium, there is a complex interrelation between the effects of nonlinearity, scattering and dissipation. Thus, nonlinear interactions between the various components (primary, scattered and induced) of a developing wavefield cause nonlinear (or wave-on-wave) scattering and, by transferring part of the wave energy to the high-frequency region, contribute to its scattering and dissipation. On the other hand, whereas dissipation opposes the accumulation of nonlinear effects by reducing the wave amplitudes, scattering assists it by increasing the propagation distance (and hence the interaction time).Estimates based on results of field experiments involving vibrators indicate that, as a rule, scattering on inhomogeneities is much stronger than nonlinear scattering, and that nonlinear effects may often dominate dissipative ones.The nonlinearity of the transmitting medium explains observedQ-value anomalies, and its seismic activity explains the existence ofP coda and the temporal changes in codaQ.  相似文献   

18.
推导了考虑大应变大位移的几何非线性有限元列式。通过影响矩阵讨论桥梁在多点激振下的非线性地震响应,并用算例比较一致输入和多点激振下的线性和非线性响应,讨论地震动输入方式和结构参数对地震响应的影响。由分析结果可知非线性和多点激振对结构响应影响较大,多点激振的影响随结构形式和尺寸的不同而不同。  相似文献   

19.
基于SIMULINK的框架结构非线性地震反应仿真   总被引:3,自引:0,他引:3  
针对现有非线性动力分析程序的可视化和二次开发能力不强的特点,以SIMULINK为平台建立了层间剪切模型和平面杆系模型的非线性地震反应仿真模型,通过两个算例分析验证了模型的正确性,指出了基于SIMULINK的结构非线性地震反应仿真的优势。  相似文献   

20.
采用定参理想集总参数计算体系,以动力基础非线性动力学模型和非线性广义刚度函数的概念为基础,将动力基础模型从竖向非线性振动推广至水平非线性振动、扭转非线性振动以及水平-回转二自由度耦合非线性振动和竖向-水平-回转三自由度非线性耦合振动,建立了动力基础非线性动力学模型的一般表达式,为动力基础非线性设计提供了理论。  相似文献   

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