山地降水垂直分布三参数高斯模式及其应用

针对蒋忠信山地降水高斯模式计算中的问题,提出三参数高斯模式及其非线性回归计算方法,将其应用于我国部分山地降水中,效果较好。     

地震前兆异常时间分布非线性特征的初步探讨——以海城地震和唐山地震为例

震源系统是一个与外界既有物质交换又有能量交换的耗散系统,在其发展演化过程中会经历一系列的分岔突变。作者运用非线性动力学的方法,分析了海城地震和唐山地震的前兆资料。研究结果表明,前兆异常活动具有阶段性,相邻两个异常阶段的持续时间的比值为一常量(5左右)。这种前兆时间分布规律可用震源体内应变能密度随孕震时间的增加发生倍周期分岔进行解析。它可用于预测主震的发生时间     

A study on the nonlinear stability of fronts in the ocean on a sloping continental shelf

1.IntroductionArnol'd(1965,1969)variationalprincipleandapriorestimatemethodisessentiallyageneralizationofLyapunovstabilitymethodforfinite--dimensionaldynamicalsystemsininfinite--dimensionalones,andhestudiedthenonlinearstabilityof2--dimensionalincompressibleidealfluidmotionbyuseofthismethod,andestablishedtwotheoremswhichareArnol,d'sfirsttheoremandArnol'd'ssecondtheorem.Eversincethe1980's,manyscientistshavebeenworkingonthissubject,Holmetal.(1985);MclntyreandShepherd(1987);Zeng(1989);Muetal.(1…     

Static and dynamic response of massive caisson foundations with soil and interface nonlinearities—validation and results

The static, cyclic, and dynamic response of a massive caisson foundation embedded in nonlinear layered or inhomogeneous soil and loaded at its top is investigated. The caisson is supported against horizontal displacement and rotation by four types of inelastic springs and dashpots, described with the BWGG model that was developed in the preceding companion paper [Gerolymos N, Gazetas G. Development of winkler model for static and dynamic response of caisson foundations with soil and interface nonlinearities. Soil Dyn Earthq Eng, submitted companion paper]. The prediction of the model is satisfactorily compared with results from 3D-finite element analysis. Some experimental corroboration of the method is provided with the help of a 1/3-scale lateral load test that had been conducted in the field by EPRI. An illustrative example of a caisson embedded in linearly-inhomogeneous clay and subjected to static and dynamic loading is analysed. Characteristic results are presented highlighting the role of soil inelasticity and its interplay with the two dominant interface nonlinearities: separation (gapping) of the caisson shaft from the surrounding soil, and uplifting of the base from the underlying soil.     

地-气耦合动力系统的研究

研究了一类地-气耦合系统的非线性模型,目的是创建一个地-气振子模型的非线性方程的渐近求解方法,利用变分迭代方法,构造了对应问题解的近似展开式。即首先引入一组泛函和计算出它们的变分,并算出Lagrange乘子,其次,决定变分迭代,最后得到原地-气振子模型非线性问题解的一致收敛的近似展开式。     

非线性参数平差的一个新途径

在分析顾及一阶偏导致的非线性参数平差的近似直接解法与迭代解法基础上,提出顾及到二阶偏导数的非线性参数平差的一种新的计算公式。由于非线性度量曲率立体阵的引入,使得平差计算公式表达简洁,而且便于非线性平差本质的分析。最终算例分析说明该方法的有效性及实用性。     

地震前兆场的演化和能量非线性聚集的关系

运用非均匀介质中“非线性振动的局域能量聚集”过程,模拟唐山７．８级和大同６．１级地震的前兆场演化,发现地震孕育过程中出现的诸多前兆特征与地壳内构造能量的非线性聚集有关。     

On the evolution of finite-amplitude disturbance to the barotropic and baroclinic quasigeostrophic flows

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