Analytical study of ground motion caused by seismic wave propagation across faulted rock masses          下载免费PDF全文

J.C. Li  N.N. Li  S.B. Chai  H.B. Li 《国际地质力学数值与分析法杂志》2018,42(1):95-109

Studying seismic wave propagation across rock masses and the induced ground motion is an important topic, which receives considerable attention in design and construction of underground cavern/tunnel constructions and mining activities. The current study investigates wave propagation across a rock mass with one fault and the induced ground motion using a recursive approach. The rocks beside the fault are assumed as viscoelastic media with seismic quality factors, Q_p and Q_s. Two kinds of interactions between stress waves and a discontinuity and between stress waves and a free surface are analyzed, respectively. As the result of the wave superposition, the mathematical expressions for induced ground vibration are deduced. The proposed approach is then compared with the existing analysis for special cases. Finally, parametric studies are carried out, which includes the influences of fault stiffness, incident angle, and frequency of incident waves on the peak particle velocities of the ground motions.  相似文献   

An explicit representation of steady state response of a beam on an elastic foundation to moving harmonic line loads     

Lu Sun 《国际地质力学数值与分析法杂志》2003,27(1):69-84

A closed‐form deflection response of a beam rest is presented in this paper using the integral transform method. The theory of linear partial differential equations is used to represent the deflection of beam subjected to a moving harmonic line load in integration form. The solution is finally carried out using the inverse Fourier transform. To evaluate the integration analytically, poles of the integrand are identified with the help of algebraic equation theory. Residue theorem is then utilized to represent the integration as a contour integral in the complex plane. Closed‐form deflections and numerical results are provided for different combinations of load frequency and velocity. Copyright © 2002 John Wiley & Sons, Ltd.  相似文献   

描述岩石粘弹性固体性质的开尔文模型   总被引：1，自引：0，他引：1  

刘瑞珣  张秉良  张臣 《地学前缘》2008,15(3):221-225

大多数固体材料都具有弹性,但真实的固体却极少严格遵从弹性的虎克定律。这些固体材料的变形往往有对时间的依赖性,这种性质是流变学研究的内容。岩石是自然界最普遍的固体,它的力学性质在通常条件下可用虎克定律作精确的描述,而在漫长的地质过程中,岩石的流变特征就逐渐显现出来。地质作用越缓慢,岩石对变形时间的依赖性越明显。为精确描述岩石在地质过程的力学性质,流变学方法被引入地质学。笔者已经介绍过描述"牛顿流体"的马克斯威尔流变模型,文中介绍描述粘弹性固体的开尔文流变模型。和马克斯威尔模型一样,开尔文模型也是流变学的基本模型,它是由一个弹性元件和一个阻尼元件并联而成。文中给出开尔文模型的本构关系和地质应用的简介。  相似文献   

耗能减震结构的受力分析与层间弹塑性变形简化计算方法   总被引：3，自引：0，他引：3  

吴波  郭安薪  李惠  王光远 《地震工程与工程振动》2002,22(2):101-107

本文研究了安装粘弹性耗能器结构在常遇地震作用下层间最大剪力的分配情况 ,给出了层间最大剪力在结构构件与耗能器之间按刚度分配原则进行假想分配后 ,所得假想层间构件力与层间最大构件力之间的关系 ,以及假想层间附加力与层间最大附加力之间的关系 ,探讨了罕遇地震作用下安装粘弹性耗能器结构与安装软钢耗能器结构的层间弹塑性变形简化计算方法。  相似文献   

3-D rheologic model of earthquake preparation (I)—Displacement field     

宋治平  尹祥础  梅世蓉 《地震学报(英文版)》2003,(6)

Introduction The rock medium shows mainly elastic character under low-temperature, low-pressure and external force for short duration, yet it shows rheologic property under high-temperature, high-pressure and long-time external force. It is reasonable that the rapid earthquake generating process lasted for tens seconds is analyzed by the elastic theory. As for the earthquake generating process for hundreds or thousand years, nevertheless, the rheologic property of rock must be taken into accou…  相似文献   

Asymmetric one‐storey elastic systems with non‐linear viscous and viscoelastic dampers: Simplified analysis and supplemental damping system design     

Wen‐Hsiung Lin  Anil K. Chopra 《地震工程与结构动力学》2003,32(4):579-596

Investigated is the accuracy in estimating the response of asymmetric one‐storey systems with non‐linear viscoelastic (VE) dampers by analysing the corresponding linear viscous system wherein all non‐linear VE dampers are replaced by their energy‐equivalent linear viscous dampers. The response of the corresponding linear viscous system is determined by response history analysis (RHA) and by response spectrum analysis (RSA) extended for non‐classically damped systems. The flexible and stiff edge deformations and plan rotation of the corresponding linear viscous system determined by the extended RSA procedure is shown to be sufficiently accurate for design applications with errors generally between 10 and 20%. Although similar accuracy is also shown for the ‘pseudo‐velocity’ of non‐linear VE dampers, the peak force of the non‐linear VE damper cannot be estimated directly from the peak damper force of the corresponding linear viscous system. A simple correction for damper force is proposed and shown to be accurate (with errors not exceeding 15%). For practical applications, an iterative linear analysis procedure is developed for determining the amplitude‐ and frequency‐dependent supplemental damping properties of the corresponding linear viscous system and for estimating the response of asymmetric one‐storey systems with non‐linear VE dampers from the earthquake design (or response) spectrum. Finally, a procedure is developed for designing non‐linear supplemental damping systems that satisfy given design criteria for a given design spectrum. Copyright © 2003 John Wiley & Sons, Ltd.  相似文献   

Estimation of in situ viscoelastic parameters of weak floor strata by plate-loading tests     

Gang Chen  Yoginder P. Chugh 《Geotechnical and Geological Engineering》1996,14(2):151-167

Summary This paper explores an approach to estimation of the viscoelastic parameters of weak floor strata using plate-loading tests. Mathematical equations are derived to describe deformation-time history for the standard Burgers model under three-dimensional stress-strain conditions, which are verified with a finite element model. A number of time-dependent in-mine plate-loading tests were conducted and the values of the viscoelastic parameters were estimated based on the derived equation. It is shown that large discrepancies between the parameter values estimated from the plate-loading tests and those acquired from the in-mine convergence data are the results of neglecting adjacent pillar interaction. Finite element modelling was conducted to investigate the effects of adjacent pillar interactions upon the pillar settlement. Based on the finite element analyses, a correction curve was developed to adjust the viscoelastic parameter values to take into account the interaction between adjacent pillars. With the correction, the parameter values estimated from the plate-loading tests compared favourably with those acquired from the in-mine convergence results.  相似文献   

3-D rheologic model of earthquake preparation (II): Strain field and its applications     

宋治平  尹祥础  梅世蓉 《地震学报(英文版)》2004,17(2):131-143

Introduction Based on the elastic theory of the hard inclusion (Dobrovolskii, 1991), we developed an inclusion theory of rheologic medium, and applied the results of bulk-strain field of a rheologic inclusion model to explain the spatial-temporal evolution process of earthquake precursors (SONG, et al, 2000). In the former paper (SONG, et al, 2003), we derived the viscoelastic displacement field of the rheologic inclusion model on the basis of the analytic expression of displacement field o…  相似文献   

Optimal design of viscoelastic dampers using eigenvalue assignment   总被引：1，自引：0，他引：1  

Sang‐Hyun Lee  Dong‐In Son  Jinkoo Kim  Kyung‐Won Min 《地震工程与结构动力学》2004,33(4):521-542

In this study a procedure for determining the optimum size and location of viscoelastic dampers is proposed using the eigenvalue assignment technique. Natural frequencies and modal damping ratios, required to realize a given target response, are determined first by the convex model. Then the desired dynamic structural properties are realized by optimally distributing the damping and stiffness coefficients of viscoelastic dampers using non‐linear programming based on the gradient of eigenvalues. This optimization method provides information on the optimal location as well as the magnitude of the damper parameters. The proposed procedure is applied to the retrofit of a 10‐story shear frame, and to a three‐dimensional structure with an asymmetric plan. The analysis results confirm that the responses of model structures retrofitted by the proposed method correspond well with the given target response. Copyright © 2003 John Wiley & Sons, Ltd.  相似文献   

Dynamic response of partially sealed circular tunnel in viscoelastic saturated soil   总被引：1，自引：0，他引：1  

Kang-he Xie  Gan-bin Liu  Zu-yuan Shi 《Soil Dynamics and Earthquake Engineering》2004,24(12):1003-1011

Based on Biot's wave equation, dynamic response of a circular tunnel with partially sealed liner in viscoelastic saturated soil is investigated. By introducing two scalar potential functions, the analytical solutions of stresses, displacements and pore pressure induced by axisymmetric gradually applied step load are derived in Laplace transform domain. Numerical results are obtained by inverting Laplace transform presented by Durbin and used to analyze the influences of partial permeable property of boundary and viscoelastic damping coefficient of soil on dynamic response of the tunnel. It is shown that the attenuation of radial displacement appeared with the increase of viscoelastic damping coefficient of soil, and relative rigidity of liner and soil, and the influence of partial sealing property of boundary on stresses, displacements and pore pressure is remarkable. The available solutions of permeable and impermeable boundary conditions are only two extreme cases of this paper.  相似文献