共查询到18条相似文献，搜索用时 171 毫秒
1.
Newmark永久位移是评价边坡在地震时稳定性的一个重要指标,近年来广泛应用于地震边坡危险性评价中。传统Newmark永久位移法在计算临界加速度时假定其为常数,未考虑滑动面上抗剪强度参数的变化,过低估计了边坡的永久位移。为了解决这一问题,本文从岩土结构理论获得思路,详细分析滑块底面抗剪强度参数在地震中的变化过程,以边坡震动过程中黏聚力逐步丧失为基本思路,在黏聚力符合一定概率分布的基础上,提出了一种利用蒙特卡罗法模拟其动态减小过程从而实现临界加速度动态变化的计算方法。经过算例计算,黏聚力和临界加速度体现了地震过程中边坡滑块黏聚力和临界加速度的动态变化,位移大小符合地震边坡实际位移的常规数值。本文提出的蒙特卡罗法实现动态黏聚力和动态临界加速度的计算过程与地震时程相对应,不仅在一定程度上解决了抗剪强度参数的动态变化问题,还解决了传统Newmark位移计算中永久位移比实际位移偏小的问题。 相似文献
2.
水平成层场地地震反应非线性分析 总被引：12，自引：0，他引：12
本文首先推导了李小军积分格式(中心差分与Newmark平均加速度法相结合)的增量形式,并据此离散动力平衡方程,同时,采用Pyke提出的土动力本构模型以及多次透射人工边界条件,提出了一种水平成层场地地震反应非线性分析的显式有限元方法,并据此编制了计算机程序。数值实验表明,这种方法能较好地模拟土层在强地震作用下的非线性特性。 相似文献
3.
目前加筋土挡墙的抗震设计常采用拟静力学法结合极限平衡理论的计算方法,而极限平衡理论建立在诸多假设条件之上,没有考虑屈服准则及流动法则,因此采用极限平衡法研究加筋土挡墙的稳定性存在一定的不足。因此,本文基于极限分析上限定理,结合Newmark理论,计算加筋土挡墙的外力功率和内能耗散率,构建地震荷载作用下加筋土挡墙加固边坡达到稳定对应的地震屈服加速度计算公式,运用数学优化的方法进行求解,进而得出地震作用下加筋土挡墙的永久位移计算公式。通过算例分析,进行本研究方法的验证和展示,研究结果揭示了加筋土挡墙边坡稳定性与土体内摩擦角、粘聚力、水平加速度系数的相关关系。 相似文献
4.
性态设计是支挡结构工程抗震设计的前沿科学问题。以模块式加筋土挡墙为试验对象,通过振动台试验,探究模块式加筋土挡墙的变形模式;收集归纳挡土墙位移计算方法,分析不同破坏模式下屈服加速度系数分布规律;对比不同计算方法计算值与实测值的一致性。研究结果表明：挡墙的位移模式为平移与转动耦合,且以转动为主;不同破坏模式下安全系数法求解的屈服加速度系数均随输入加速度幅值增大而减小,简便方法和能量法所得屈服加速度系数为常数;将屈服加速度系数代入不同位移计算方法对比,提出在不同峰值加速度时,可分别采用Richards and Elms上限法(0.4g以下)、Cai and Bathurst平均上限法(0.4g～0.6g)、Newmark上限法(0.6g～0.8g)、Whitman and Liao平均拟合法(0.8g～1.0g)进行位移计算。最后,对模块式加筋土挡墙的抗震设计流程进行归纳。 相似文献
5.
徐志英 《地震工程与工程振动》1986,(2)
本文假定土坝为线性弹性楔体,以剪切片理论为基础,根据冲量原理和δ-函数推导了在一次冲击荷载作用下堤坝振动的微分方程式。然后运用亨克尔积分变换对该方程式进行求解。导出了在一次冲击荷载下堤坝的位移、加速度、应变以及平均加速度等公式,利用叠加原理求得在多次冲击荷裁作用下堤坝的相应公式,并举了算例。对于在冲击荷载作用下堤坝液化和稳定分析也建议了相应的简单方法。 相似文献
6.
地震反应谱数值计算方法的研究 总被引：2，自引：0，他引：2
本文把具有解析递推格式的地震反应谱数值计算方法归结为单步法和两步法,并且给出了说明这两种方法传递算子具有不变特性的两个定理。利用这两个定理,本文较为简便和完善地推导了新的地震反应谱数值计算递推公式。文末通过计算对比研究,给出了同时计算绝对加速度、相对速度和相对位移反应谱的快速方法及相应的计算程序。 相似文献
7.
利用岩土数值分析软件FLAC2D6.0对边坡岩土体在不同交通荷载作用下动力响应做了数值分析。结果表明:在交通荷载作用下,岩土体的振动加速度在震源附近最大,沿坡面向上以及向内水平向逐渐减小;离震源越近衰减越快,随着距离增大而逐渐变慢,并且交通荷载越大衰减的幅度越大;路面以上边坡岩土体垂直加速度和水平加速度处于同一量级,垂直加速度大于水平加速度;路面以下加速度比路面以上大一个量级,水平加速度和垂直加速度处于同一量级,并且水平加速度大于垂直加速度。研究结果对于评价交通荷载对边坡岩土体的影响及边坡的加固与治理具有一定的理论意义和工程应用价值。 相似文献
8.
《地震工程与工程振动》2015,(4)
一个理想的积分法希望同时具有内隐式积分法的无条件稳定与外显式积分法的计算简单的优点,张氏积分法即是为了此目的而发展出来的积分法,虽然已有完整的理论推导与简单的数值验证,但其在实务上的应用仍有待进一步的探究。为了验证张氏积分法的实用性与优异的计算效率,特别将张氏积分法加入Open Sees分析软件中,并针对各式各样不同类型的结构系统来进行动态历时分析。除了张氏积分法以外,也利用等平均加速度积分法与Newmark外显式积分法来进行动态历时分析,并经由分析结果的比较,除了可以验证张氏积分法的数值特性之外,也可以证实张氏积分法能广泛地应用于线性及非线性动力分析。最后则利用每次动力分析所使用的CPU时间比较,来进一步证实此积分法的优异计算效率。 相似文献
9.
应用地震危险性分析理论和地震动人工合成技术，给出Newmark法中所需的地震动时程，解决了斜坡稳定性分析Newmark法中难以选取合适地震动时程的难题。通过对黄土斜坡实例计算，给出了坡体中地震动峰值加速度与深度的关系；在计算坡体位移时，提出了等效峰值加速度的概念；对比了使用地面地震动时程和使用坡体内等效地震动时程的计算结果。 相似文献
10.
有阻尼体系动力问题的一种显式差分解法 总被引：15，自引：7，他引：15
本文以中心差分方法为基础,结合Newmark常平均加速度法的基本假定,推导出了一种求解有限自由度有阻尼体系动力方程的自起步显式差分格式。此格式的稳定性条件与一般中心差分格式的相当,其计算精度不低于二阶精度。 相似文献
11.
The Newmark average acceleration method is non-dissipative and unconditionally stable, but its accuracy in transient analysis of wave propagation problems depends not only on the spatial discretization but also on the temporal discretization. It has been found that the effects of spatial and temporal discretization when considered separately as commonly done, are far from adequate for most transient analysis. A better criterion manipulating the interdependent relationship between mesh size and time-step magnitude is imperative to achieve sufficiently accurate results of analysis. In this paper, the accuracy of the Newmark method is investigated by considering the two basic sources of errors, namely, numerical amplitude dissipation and velocity dispersion. The effects of both spatial and temporal discretizations are considered. A new technique to describe the characteristics of various frequency spectra is established. A criterion for mesh design and the selection of time-step magnitude is also proposed based on the combined effects of the amplitude dissipation and velocity dispersion. The efficiency and effectiveness of the proposed criterion are demonstrated using two one-dimensional wave propagation problems. A two-dimensional application shows that this criterion is equally applicable to multidimensional problems. 相似文献
12.
Stability and accuracy analysis of direct integration methods 总被引：1，自引：0，他引：1
A systematic procedure is presented for the stability and accuracy analysis of direct integration methods in structural dynamics. Amplitude decay and period elongation are used as the basic parameters in order to compare various integration methods. The specific methods studied are the Newmark generalized acceleration scheme, the Houbolt method and the Wilson θ-method. The advantages of each of these methods are discussed. In addition, it is shown how the direct integration of the equations of motion is related to the mode superposition analysis. 相似文献
13.
Landslide hazard zonation based on co-seismic slope displacements has been applied in many regions. As there are a large number of slopes to be analyzed and it is impossible to obtain actual acceleration time histories for each of these slopes, the co-seismic displacements are often estimated by some simple empirical formulas, which are derived through regression analysis based on a certain set of acceleration time histories and can only be validly applied to regions similar to where the time history data were recorded. In this paper, treating the ground motion as a random process, a formula for calculating the expected value of Newmark displacement with the acceleration amplitude spectrum as input is derived. Since the formula is theoretically equivalent to the double integration procedure in a rigorous Newmark analysis, which has also been verified by careful comparisons of the calculated results, it can be applied for different regions. By combining the formula with ground motion simulations, a new method for estimating co-seismic slope displacements is proposed. The application of the method in the seriously struck area by Wenchuan earthquake shows that it is an effective tool for predicting co-seismic slope displacements as the predicted landslide distribution by using its estimated results agrees reasonably with the actual observations. 相似文献
14.
The existing on‐line numerical integration algorithms are derived from the Newmark method, which is based on an approximation of derivatives in the differential equation. The state–space procedure (SSP), based on an interpolation of the discrete excitation signals for piecewise convolution integral, has been confirmed as more reliable than the Newmark method in terms of numerical accuracy and stability. In an attempt to enhance the pseudodynamic test, this study presents an on‐line integration algorithm (referred to as the OS–SSP method) via an integration of the state–space procedure with Nakashima's operator‐splitting concept. Numerical stability and accuracy assessment of the proposed algorithm in addition to the explicit Newmark method and the OS method were investigated via an eigenvalue, frequency‐domain and time‐domain analysis. Of the on‐line integration algorithms investigated, the OS–SSP method is demonstrated as the most accurate method with an acceptable stability (although not unconditionally stable) characteristic. Therefore, the OS–SSP method is the most desirable method for pseudodynamic testing if the numerical stability criterion (Δt/T⩽0.5) is ensured for every vibration mode involved. Copyright © 2001 John Wiley & Sons, Ltd. 相似文献
15.
When the finite element method is used to idealize a structure, its dynamic response can be determined from the governing matrix equation by the normal mode method or by one of the many approximate direct integration methods. In either method the approximate data of the finite element idealization are used, but further assumptions are introduced by the direct integration scheme. It is the purpose of this paper to study these errors for a simple structure. The transient flexural vibrations of a uniform cantilever beam, which is subjected to a transverse force at the free end are determined by the Laplace transform method. Comparable responses are obtained for a finite element idealization of the beam, using the normal mode and Newmark average acceleration methods; the errors associated with the approximate methods are studied. If accuracy has priority and the quantity of data is small, the normal mode method is recommended; however, if the quantity of data is large, the Newmark method is useful. 相似文献
16.
We present a comparison of methods for the analysis of the numerical substructure in a real‐time hybrid test. A multi‐tasking strategy is described, which satisfies the various control and numerical requirements. Within this strategy a variety of explicit and implicit time‐integration algorithms have been evaluated. Fully implicit schemes can be used in fast hybrid testing via a digital sub‐step feedback technique, but it is shown that this approach requires a large amount of computation at each sub‐step, making real‐time execution difficult for all but the simplest models. In cases where the numerical substructure poses no harsh stability condition, it is shown that the Newmark explicit method offers advantages of speed and accuracy. Where the stability limit of an explicit method cannot be met, one of the several alternatives may be used, such as Chang's modified Newmark scheme or the α‐operator splitting method. Appropriate methods of actuator delay compensation are also discussed. Copyright © 2008 John Wiley & Sons, Ltd. 相似文献
17.
Minxian Cheng 《地震工程与结构动力学》1988,16(2):227-244
The convergence and stability of step-by-step integration schemes used in the inelastic dynamic analysis of structures and their corresponding criteria were studied for a restoring force model with negative-stiffness. Convergence conditions and stability conditions 1, 2 or 3 were established. The numerical stability of the integration under negative-stiffness belongs to the category of relative stability; consequently, the concepts and the conclusions concerning numerical stability in the case of positive-stiffness (which belongs to absolute stability) cannot be used. Research into several step-by-step integration methods usually employed in inelastic dynamic analysis has shown great differences in numerical stability for models with negative-stiffness as compared with positive-stiffness models. The central difference method is convergent and unconditionally stable in the case of negative-stiffness, though it is only conditionally stable in the case of positive-stiffness. The Houbolt method satisfies the requirement for convergence; its stability, however, depends not only on the integration step size Δt but also on the stiffness ratio β for the model with negative-stiffness, unlike the unconditional stability for the model with positive-stiffness. The Newmark constant acceleration method is convergent and unconditionally stable in the case of negative-stiffness just like it is in the case of positive-stiffness. 相似文献
18.
跨断层隔震管道管端与土体相互作用分析 总被引：1，自引：0，他引：1
断层错动是造成埋地管道破坏的重要因素之一,因此,跨断层埋地管道在断层错动下的破坏机制、模型设计与参数分析和管道抗断层措施一直是生命线工程的前沿问题。对跨断层管道内力分析取得的成果较多,比较经典的是Newm ark-Hall方法、Kennedy方法和王汝梁方法,后来又出现基于壳模型的有限元分析方法。现有的管道抗断层措施具有其优点的同时亦有其不足。本文基于壳模型的有限元动力数值模拟,对一种管道跨断层隔震措施进一步研究,考虑管端与土体相互作用计算隔震管段的断层错动响应。计算结果表明拉应变容易在土中的管段传递,相比较而言,压应变不容易在土中的管段传递;最大拉应变降低比较多,最大压应变降低比较少。根据分析结果,对跨断层隔震管段边界条件的选取提出建议。 相似文献