首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到19条相似文献,搜索用时 179 毫秒
1.
目前在地震勘探频带范围内通常假设品质因子Q与频率无关,且呈衰减各向同性.事实上,相比较速度各向异性,介质的衰减各向异性同样不可忽视.本文将衰减各向异性和速度各向异性二者与常Q模型相结合,建立了黏弹性衰减VTI介质模型,并基于分数阶时间导数理论,给出了对应的本构关系和波动方程.利用均匀平面波分析和Poynting定理,推...  相似文献   

2.
利用软钢的Ramberg-Osgood本构关系(R-O模型),依据经典力学原理推导建立了X形和三角形钢板阻尼器的阻尼力滞回模型.首先,给出了循环加载下软钢材料的应力-应变R-O本构关系;其次,推导建立了基于R-O本构关系的钢板阻尼器的阻尼力模型;最后,将该阻尼力模型及其参数与试验结果和双线性强化模型进行了比较,验证了R-O理论模型的有效性,并分析了误差存在的原因.  相似文献   

3.
利用软钢的Ramberg-Osgood本构关系(R-O模型),依据经典力学原理推导建立了X形和三角形钢板阻尼器的阻尼力滞回模型。首先,给出了循环加载下软钢材料的应力-应变R-O本构关系;其次,推导建立了基于R-O本构关系的钢板阻尼器的阻尼力模型;最后,将该阻尼力模型及其参数与试验结果和双线性强化模型进行了比较,验证了R-O理论模型的有效性,并分析了误差存在的原因。  相似文献   

4.
由于时间域内粘弹性介质的本构方程是一种卷积积分形式,无法将它直接离散化数值求解.本文采用GSLS模型逼近谐振Q模型介质的粘弹性;推导了粘弹性介质中实现纵波和横波分解的等价波动方程.同时给出了等价方程的完全匹配吸收边界(PML)条件公式及相应的交错网格任意偶数阶精度有限差分格式.最后应用交错网格高阶有限差分法,求解等价波动方程.实验显示GSLS模型逼近精度高,吸收边界效果好,能够实现纵、横波的完全分离,可以得到高精度的波场快照和合成记录;并且波场快照和合成记录能较好的反映谐振Q模型介质的粘弹性特征.结果证明GSLS模型能够精确地逼近谐振Q模型的粘弹性.  相似文献   

5.
利用软钢的双线性本构关系,依据经典力学原理推导建立了X形和三角形钢板阻尼器的阻尼力滞回模型。首先,导出了单调加载下钢板阻尼器的力与位移关系及其渐近曲线;其次,对于软钢材料本构关系分别考虑在理想弹塑性和双线性强化模型基础上,推导建立了钢板阻尼器的阻尼力模型;最后,将钢板阻尼器的阻尼力模型及其参数与试验结果进行了比较,验证了理论模型的有效性,并分析了误差存在的原因。  相似文献   

6.
张东宁  许忠淮 《地震》1999,19(1):26-32
以现代构造应力场和地壳运动的观测结果为约束条件,利用有限元方法计算了中国大陆地壳应变能密度年变化率,三维有限元模型采用粘弹性本构关系,包含了中国大陆主要活动断裂带,在青藏高原考虑了因高海拔地势蓄集的附加重力势能和地壳山根浮力作用。  相似文献   

7.
非线性弹性地震学是基于岩石非线性弹性关系的地震波传播理论,也是当前地球物理学一个前沿的研究领域.该研究不依赖于线性胡克定律,而是通过实验探究和理论推导的方式来构建非线性弹性本构关系,并以此为基础建立非线性波动方程,进一步探究岩石非线性弹性的成因以及非线性弹性参数的本质机制.与传统理论相比,非线性弹性地震学所依赖的本构关系具有更高的精确性,更符合岩石实际的应力-应变响应,在微小结构探测方面也具有更高的精度.近年来,随着该研究的不断深入,静态、准静态、动态共振、以及共传播超声波实验方法都得到了迅速发展,本构关系和波动方程的推导也取得了进展,同时此方法在野外地震观测和地球大范围尺度非线性弹性的研究中也开始了应用尝试.总之,在过去几十年非线性弹性地震学得到了快速的发展,取得了丰富的成果,然而各研究方向成果分散,缺乏系统性认识.因此为了便于将来更好的开展研究,我们系统总结了实验观测方法、非线性本构关系建立、波动方程推导、实际地震资料应用等方面的研究进展,并结合当前的研究现状预期了未来可行的发展方向.  相似文献   

8.
混凝土结构分析问题中动力荷载下混凝土的动力本构模型研究日益重要。为对建立混凝土动力本构关系的基础理论有系统的认知和了解其应用,对其进行了总结,简述了在建立混凝土动本构方面的应用,对混凝土动力本构模型的理论发展趋势作了展望。并对当前混凝土动力本构模型的应用做了概括评述,并指出了混凝土动力本构的可行研究方向,为建立混凝土动力本构模型提供指导。  相似文献   

9.
正冻土中水热迁移问题的混合物理论模型   总被引:17,自引:0,他引:17  
在连续统力学的混合物理论框架下研究了冻土的力学 热学性质 ,建立了相应的本构关系 .以此为基础 ,首先给出了层冰形成的一个判别准则 ,研究了孔隙率对冻胀量的影响 ,所得规律能很好地解释已有试验结果 .其次 ,推导出控制冻土水热迁移过程的场方程为具有可动边界的非线性Burgers型方程 ,这一发现为研究土体冻结过程中的非线性效应提供了理论基础 .  相似文献   

10.
振动频率对原状黄土动本构关系的影响   总被引:7,自引:0,他引:7  
对原状黄土( Q4) 施加4 种频率的等幅正弦波荷载进行动三轴试验,研究振动频率对原状黄土动本构关系的影响.结果表明,对应于4 种频率的原状黄土的动本构关系均服从双曲线模型,但试验常数a 、b 均随振动频率的增大而略有减小.讨论了试验常数、动弹性模量和阻尼比等随振动频率的变化规律  相似文献   

11.
分数阶微分算子具有描述历史依赖性和全域相关性的特质,本文利用这种特质描述双相介质固体骨架的黏弹性特征.基于Kjartansson常Q理论将含有分数阶时间导数的黏弹固体骨架各向异性本构关系与双相介质理论有机地结合起来,并引入流变学本构关系描述孔隙流体的黏滞性力学行为,提出一种新的基于分数阶时间导数常Q黏弹本构关系的含黏滞流体双相VTI模型.推导了相应的时间域波传播方程,然后对该方程进行了数值模拟.对整数阶导数采用高阶交错网格有限差分算法,对分数阶时间导数采用短时记忆中心差分算法,进行了不同相界、不同品质因子组及双层地质结构情况下该类介质中波场的数值模拟与特征分析.模拟结果表明:将含有分数阶时间导数的常Q黏弹固体骨架各向异性本构关系及孔隙流体的黏滞性本构关系引入双相介质理论是可行的,二者的结合能更好地反映地下介质的黏弹性特征,对于进一步认识波在黏弹各向异性孔隙介质中的传播机理具有重要意义,为反演和重构地下油气储层和结构奠定正演理论基础.  相似文献   

12.
This paper examines the convolution integral method for the time domain analysis of viscoelastic models with complex parameters. Such models have been extensively used in soil dynamics and base isolation studies, because they can predict realistically the non-viscous behavior of practical materials such as soil, acrylic polymers, and silicone gels among others. Starting from the constant hysteretic model which was initially proposed to model the behavior of dry sands, it is shown that the basic response functions of complex-parameter viscoelastic models are complex valued functions. The classical relations between the basic response function and the dynamic modulus are extended for the case of these generalized viscoelastic models. Finally, the time domain response of practical constitutive models with complex parameters is investigated, and the limitations and advantages of the convolution integral method are discussed.  相似文献   

13.
为改善高层建筑联肢剪力墙抗震性能,消除传统连梁阻尼器残余位移较大或等效阻尼比较小等问题,设计了一种兼具耗能和自复位功能的形状记忆合金粘弹性连梁阻尼器(Shape Memory Alloy Viscoelastic Coupling Beam Damper,SVCBD),给出了新型连梁阻尼器的构造形式和工作原理。利用拉普拉斯变换得到的粘弹性材料粘性系数以及超弹性形状记忆合金(Shape Memory Alloy,SMA)本构模型,基于ABAQUS仿真平台建立了SVCBD精细有限元模型;对SVCBD滞回特性进行了模拟分析,并与普通粘弹性阻尼器进行了对比。考虑了SMA丝束初始预应力度、横截面总面积和粘弹性材料层剪切面积等参数对SVCBD滞回特性的影响。分析结果表明:与普通粘弹性连梁阻尼器(Viscoelastic Coupling Beam Damper,VCBD)相比,SVCBD滞回曲线更加饱满,耗能能力更强,残余位移减小,初始刚度也大大提高,具有很好的耗能和复位效果;SMA丝束初始预应力大小、横截面面积(即配置数量)和粘弹性材料层剪切面积均对SVCBD的耗能和复位能力具有明显的影响。  相似文献   

14.
Wave propagation in soil is dependent on both the stiffness and the material damping of the soil. While some researchers have performed finite element modelling of resonant column tests and wave propagation in soil, most do not describe the methodology in detail and there is little or no verification of the correctness of the model. Viscoelastic model has been used to model wave propagation in soil. However, the determination of the parameters in the viscoelastic model is complicated and the parameters may not be related to the soil properties. This paper presents a simplified viscoelastic model with soil parameters obtainable from advanced geotechnical testing to simulate wave propagation in soil medium taking into account of material damping. The viscoelastic material model was first calibrated by replicating torsional, longitudinal and flexural modes resonant column tests. The relationships between the parameters of the simplified viscoelastic model and their corresponding stiffness and damping properties were investigated. An equation was proposed to correlate the decay constant used in the simplified viscoelastic model and the material damping ratio obtained through the application of the logarithmic decrement method on the modelled resonant column test results. The simplified viscoelastic model was then evaluated by modelling wave propagation in a semi-infinite medium. Results indicated that the viscoelastic model with parameters as proposed in this paper is able to model wave propagation in soils.  相似文献   

15.
本文旨在构建适用于滞弹性近场时域波动有限元模拟的高精度人工边界条件:完美匹配层(Perfectly Matched Layer:PML),其中阻尼介质时域本构基于广义标准线性体建立.与以往研究不同,本文采用复坐标延拓技术变换弱形式波动方程构建了可直接用有限元离散的弱形式时域PML,规避以往独立对无限域内波动方程及界面条件进行延拓可导致的PML场方程和界面条件匹配不合理引发数值失稳、计算精度低下等问题.其次,针对PML中多极点有理分式与频域函数乘积的傅里叶反变换难以计算的问题,利用PML精度对复坐标延拓函数中延拓参数微调不敏感这一特点,明确给出了参数微调准则以规避多重极点,进而利用有理分式分解给出了一种普适、简便的计算方法,极大地简化了PML计算.基于该方法可实现任意高阶PML.最后,将本文构建滞弹性PML与高阶勒让德谱元(高精度集中质量有限元)结合得到滞弹性近场波动谱元离散方案.基于算例验证了滞弹性PML的计算效率、精度及新离散方案的长持时稳定特性.新离散方案可应用于计入实际介质阻尼的地震波动正、反问题数值模拟,提高波形模拟的精度以及地下波速结构反演的精度和可靠性.  相似文献   

16.
A finite element analysis is performed to determine the influence of the choice of a constitutive model for the earth medium upon the response to seismic waves of an embedded rigid structure. The seismic forcing function is characterized by Rayleigh waves with amplitude parameters adjusted to provide identical free-field motion at a surface reference point for one particular sand represented with elastic, plastic and viscoelastic models. Within the limitations of the analysis, the result is that the steady-state rigid body motions of the embedded structure are essentially identical for these constitutive relations and, consequently, it is appropriate to use an elastic representation for the earth medium.  相似文献   

17.
To simultaneously take into account the Biot-flow mechanism, the squirt-flow mechanism, and the frame-viscoelasticity mechanism, a generalized viscoelastic BISQ (Biot/squirt) model is developed for wave propagation in clay-bearing sandstones based on Dvorkin's elastic BISQ model. The present model is extended to a wide range of permeabilities (k 〉 0.05 mD) by introducing a dimensionless correction factor for viscoelastic parameters, defined as a function of the permeability and the clay content. We describe the frame's stress-strain relationship of the clay-bearing sandstones by the differential constitutive equations of generalized viscoelasticity and then derive the viscoelastic-wave dynamic equations. With the assumption of a plane-wave solution, we finally yield the phase velocities and the attenuation coefficients by solving the dynamic wave equations in the frequency and wave number domain. The comparison of numerical results and experimental data shows that the generalized viscoelastic BISQ model is applicable for modeling the wave propagation in most of the sandstones mainly bearing kaolinite clay.  相似文献   

18.
Effects of non-rigid muddy bed on the wave climate at the Hendijan coast along the northwestern part of the Persian Gulf have been examined through field measurements and numerical wave transformation modeling. The field survey included measurements of wave characteristics at an offshore and a nearshore station, and mud sampling to obtain the thickness of the fluid mud layer and its rheological properties. Comparisons of wave spectra at the two stations show energy dissipation along the wave trajectory with higher dissipation in the wave period band around 6?s, because depending on the site a given frequency band tends to be more effective in wave–mud interaction. Dissipation induced by the non-rigid bed is introduced into the REF/DIF wave transformation model through the application of viscoelastic constitutive equations for fluid mud. Numerical outputs of the nearshore wave height, for which the viscoelastic parameters included in the model were obtained independently from oscillatory frequency-sweep tests, are found to be comparable with measured values at the nearshore station. This implies that the model is useful for estimating the design wave conditions in the study area.  相似文献   

19.
The stability problem is a very important aspect in seismic wave numerical modeling. Based on the theory of seismic waves and constitutive equations of viscoelastic models, the stability problems of finite difference scheme for KelvinVoigt and Maxwell models with rectangular grids are analyzed. Expressions of stability conditions with arbitrary spatial accuracies for two viscoelastic models are derived. With approximation of quality factor Q≥?5, simplified expressions are developed and some numerical models are given to verify the validity of the corresponding theoretical results. Then this paper summarizes the influences of seismic wave velocity, frequency, size of grid and difference coefficients, as well as quality factor on stability condition. Finally the prerequisite conditions of the simplified stability equations are given with error analysis.  相似文献   

设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号