Theory and experimental study for sliding isolators with variable curvature

Because a conventional isolation system with constant isolation frequency is usually a long‐period dynamic system, its seismic response is likely to be amplified in earthquakes with strong long‐period wave components, such as near‐fault ground motions. Seismic isolators with variable mechanical properties may provide a promising solution to alleviate this problem. To this end, in this work sliding isolators with variable curvature (SIVC) were studied experimentally. An SIVC isolator is similar to a friction pendulum system (FPS) isolator, except that its sliding surface has variable curvature rather being spherical. As a result, the SIVC's isolation stiffness that is proportional to the curvature becomes a function of the isolator displacement. By appropriately designing the geometry of the sliding surface, the SIVC is able to possess favorable hysteretic behavior. In order to prove the applicability of the SIVC concept, several prototype SIVC isolators, whose sliding surfaces are defined by a sixth‐order polynomial function, were fabricated and tested in this study. A cyclic element test on the prototype SIVC isolators and a shaking table test on an SIVC isolated steel frame were all conducted. The results of both tests have verified that the prototype SIVC isolators do indeed have the hysteretic property of variable stiffness as prescribed by the derived formulas in this study. Moreover, it is also demonstrated that the proposed SIVC is able to effectively reduce the isolator drift in a near‐fault earthquake with strong long‐period components, as compared with that of an FPS system with the same friction coefficient. Copyright © 2011 John Wiley & Sons, Ltd.     

零炮检距剖面与小波剖面制作系统

讨论了利用多项式拟合和小波变换制作零炮检距剖面和小波剖面的方法,并用VisualC++语言开发了基于Windows操作平台下的地震资料零炮检距剖面与小波剖面制作系统。利用最佳拟合算法与最佳小波基函数,使用制作系统对煤田实际地震资料进行了处理,取得了满意的地质效果。      

地震波传播的褶积微分算子法数值模拟

为了解决地震波场数值模拟中的速度与精度的匹配及局部信息与全局信息的耦合等问题, 该文借助新推出的基于Forsyte广义正交多项式的褶积微分算子, 将计算数学中的Forsyte多项式褶积微分算子应用到地震波传播的数值模拟中.复杂非均匀介质模型数值模拟结果说明了该方法的可行性和优越性.该方法同时具有广义正交多项式褶积微分算子的高精度和有限差分短算子算法的高速度.通过对算子长度的调节及算子系数的优化, 可同时兼顾波场解的全局信息与局部信息.      

利用正交多项式对三维地震资料拟合算法的研究

目前在地震勘探中经常采用的拟合方法多是二维的,本文利用正交多项式的性质以及地震资料的相干性对地震资料进行三维拟合.该方法充分利用了三维地震资料,提高了处理效率.     

Optimal weakening and damping using polynomial control for seismically excited nonlinear structures

This paper presents an approach for the optimal design of a new retrofi t technique called weakening and damping that is valid for civil engineering inelastic structures.An alternative design methodology is developed with respect to the existing ones that is able to determine the locations and the magnitude of weakening and/or softening of structural elements and adding damping while insuring structural stability.An optimal polynomial controller that is a summation of polynomials in nonlinear states is used...     

计算震磁背景场的数学方法

如何计算地磁场 (或地磁剩余场 )及其长期变化的趋势变化 ,是提取震磁异常的关键。文章简要介绍了计算震磁背景场的数学方法 :多项式方法、球冠谐和分析方法、矩谐分析方法和曲面样条函数方法     

高重频激光测距数据处理方法

该文探讨了高重频激光测距工作中的数据处理问题。该数据处理采用了屏幕显示以及数学分析方法,以剔除卫星激光测距数据中的观测异常值,提取有效的数据点,并最终生成标准点数据。通过对奥地利GRAZ激光测距站高重频数据资料的处理表明,该数据处理方法是有效的。     

基于多项式曲面拟合模型的高程转换方法及其结果分析

本文针对影响多项式高程转换精度的两个主要因素(拟合模型选择和拟合点选取),在分析不同阶次多项式表达特征的基础上,基于一次多项式拟合残差信息,提出了综合不同多项式曲面模型的GNSS高程转换方法,并通过实例验证了该方法的有效性。结果表明,利用一次多项式拟合残差空间分布信息反映的测区高程异常变化特征,作为二次多项式分区拟合区域划分或三次多项式拟合点选取的依据,进行高程拟合,可以将高程拟合精度从厘米级提高至毫米级。     

车贝雪夫多项式约简算法的研究

解释了车贝雪夫多项式化整计算通用算法中关于化整后的车贝雪夫多项式约简处理的技术原理,给出了一种可快速实现多项式约简处理的实用求算方法。     

地质勘探钻孔轨迹计算新模型

确定钻孔轨迹是分析处理钻孔偏斜问题的前提。将测斜参数中的孔深s作为变量,用多项式函数逼近的方式建立钻孔轨迹的参数方程,推导了确定钻孔轨迹空间位置的数学模型,通过算例表明模型有较好的精度。