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Analysis of implicit HHT‐α integration algorithm for real‐time hybrid simulation

Real‐time hybrid simulation is a viable experiment technique to evaluate the performance of structures equipped with rate‐dependent seismic devices when subject to dynamic loading. The integration algorithm used to solve the equations of motion has to be stable and accurate to achieve a successful real‐time hybrid simulation. The implicit HHT α‐algorithm is a popular integration algorithm for conducting structural dynamic time history analysis because of its desirable properties of unconditional stability for linear elastic structures and controllable numerical damping for high frequencies. The implicit form of the algorithm, however, requires iterations for nonlinear structures, which is undesirable for real‐time hybrid simulation. Consequently, the HHT α‐algorithm has been implemented for real‐time hybrid simulation using a fixed number of substep iterations. The resulting HHT α‐algorithm with a fixed number of substep iterations is believed to be unconditionally stable for linear elastic structures, but research on its stability and accuracy for nonlinear structures is quite limited. In this paper, a discrete transfer function approach is utilized to analyze the HHT α‐algorithm with a fixed number of substep iterations. The algorithm is shown to be unconditionally stable for linear elastic structures, but only conditionally stable for nonlinear softening or hardening structures. The equivalent damping of the algorithm is shown to be almost the same as that of the original HHT α‐algorithm, while the period elongation varies depending on the structural nonlinearity and the size of the integration time‐step. A modified form of the algorithm is proposed to improve its stability for use in nonlinear structures. The stability of the modified algorithm is demonstrated to be enhanced and have an accuracy that is comparable to that of the existing HHT α‐algorithm with a fixed number of substep iterations. Both numerical and real‐time hybrid simulations are conducted to verify the modified algorithm. The experimental results demonstrate the effectiveness of the modified algorithm for real‐time testing. Copyright © 2011 John Wiley & Sons, Ltd.     

裂步法最小二乘偏移

最小二乘偏移的核心思想是用正向传播算子的逆算子代替其共轭转置算子进行偏移.它克服了常规偏移方法用共轭转置算子偏移的缺点.本文详细地描述了裂步法最小二乘偏移的原理,实现算法,并通过两个模型展示了裂步法最小二乘偏移的可行性和有效性.并且通过研究发现最小二乘较容易被扩展到基于其它波场延拓算子的最小二乘偏移.     

Dynamic performance analysis of a seismically isolated bridge under braking force

In order to study the dynamic performance of seismically isolated bridges under the most unfavorable loads in the longitudinal direction,a dynamic equation for vehicle braking in the longitudinal direction is established.A four or fiveorder Runge-Kutta method is adopted to obtain the time-history response of a wheel set under braking force.The quadratic discretization method is then used to transform this time-history into a braking and bending force time-history of a structural fixed node,and a dynamic response analysis of the seismically isolated bridge under the vehicle’s braking force is carried out using ANSYS,a universal finite element analysis software.According to the results,seismic isolation design results in a more rational distribution of braking force among piers;the influence of the initial braking velocity on the vehicle braking force is negligible;the location where the first wheel set leaves the bridge is the most unfavorable parking location;a seismic isolation bridge bearing constructed according to typical design methods enters into a yield stage under the braking force, while the shearing force at the bottom of the pier declines as the isolation period is extended;the design requirements can be met when the yield displacement of the seismic isolation bearing is less than 5 mm and the yield strength is greater than the braking force.     

基于SOM的海表温度遥感数据集的EOF算法重构

针对海表温度数据集的数据缺失,提出了一种基于自组织映射算法(SOM)和经验正交函数算法(EOF)有机结合的重构缺失值的新方法。该方法应用了SOM的非线性估计,能够很好的反映数据集的非线性结构,并把SOM估计的结果用于EOF算法的初始化,克服了EOF对数据集初始化敏感的问题。在处理过程中,对奇异值分解使用了lanczos算子分解矩阵,提高了程序运行效率。此外,该方法还引入蒙特卡罗交叉校正集,确定最佳重构的EOF模态数,最终高精度计算出重构误差。使用AQUA遥感卫星海表温度数据进行实验,结果表明该方法能够很好地重构出缺失率高达83.23%的数据集,且重构精度高。     

数字海图的成果质量评测系统研究

总结归纳了海图要素数据存在的主要质量问题,阐述了评测采用的方法和依据,建立了基于质量评测算子库的海图数据要素检测引擎,初步检测出了海图数据成果质量是否存在问题,存在哪些问题,存在问题的性质、数量、位置,通过对成果的总体质量进行分析评价,最终给出了海图数据成果质量分析检测报告。     

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一种用于突发性场地污染模拟的解析模型

为了及时有效地应对各种突发性环境污染事故,有必要开发一种简单实用、适于各类型污染物的场地污染数学模型。通过污染事故发生后污染物在包气带、饱和带迁移转化的概化,建立了污染物运移的自由入渗模型以及降雨入渗模型并给出各自相应的解析解。无降雨时,考虑污染物在重力作用下随包气带向下渗透的作用,建立一维垂直入渗模型。有降雨时,考虑污染场地(包气带)中污染物迁移和转化的对流作用、扩散作用及挥发、生物降解、吸附、根系吸收等作用,建立包气带剖面二维溶质运移模型和饱和带平面二维溶质运移数学模型。建模过程中,假定降雨量的平均分布及土壤质地、水力参数以及有机物成分、种类均相同,同时假定污染物与多孔介质间的作用为线性吸附,植物根系对污染物的吸附遵循一级动力学。基于模型的解析解,实现案例的模拟计算。模拟结果表明:该模型具有适用范围广、模拟高效快捷等优点,能够较准确预测污染发生后污染物在土壤中的动向、到达饱和带的时间以及饱和带中污染物的迁移情况。     

均质岩体中隧道围岩破坏过程的试验与数值模拟

采用模型试验与离散元模拟的方法,对均质岩体中隧道开挖后围岩的变形破坏过程进行了研究,并对围岩变形破坏过程中围岩应力及地表位移的变化规律进行了分析,模型试验结果与数值模拟结果取得了较好的一致性。研究结果表明：隧道开挖后,拱顶处围岩变形明显并出现裂缝,围岩破坏从拱顶开始,进而呈渐进式向上发展,最终形成稳定的塌落拱;开挖后,隧道围岩径向应力减小,隧道周边一定范围内围岩切向应力减小,且随隧道变形破坏的发展,围岩切向应力减小的区域逐渐扩大;隧道塌方后,拱底垂直应力增加,开挖结束至塌方开始期间地表位移增量最大,塌方期间地表位移增量最小。     

基于功效系数法的泥石流灾害预警研究

泥石流灾害破坏力巨大,预测预报泥石流发生的可能性是防灾减灾的重要手段,也是国内外学者研究的热点。基于功效系数法原理,在综合分析泥石流灾害发生的气象、地质环境影响因素的基础上,选取了山坡坡度、相对高差、植被覆盖率、沿沟松散物储量、5 d累计降雨量、最大小时雨强和当日雨量为评价因子,采用改进后的层次分析法计算评价因子的权重系数,建立了泥石流预测预警模型。以岫岩地区泥石流为例对预警模型进行检验,预测结果较好地反映了实际情况。表明基于功效系数法的泥石流预测预警模型具备较高的可靠性和实用性,研究结果为泥石流预测预警提供了一种新的思路和方法。