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单桩负摩阻力的双折线模型理论解

基于荷载传递函数的概念,提出了一种用双折线模型来计算桩负摩阻力的方法。根据单桩承载受力时桩侧土与桩尖土所处于不同的弹性和塑性状态,运用该双折线模型,建立桩身轴向力和桩土相对位移的微分方程,得出桩相对位移解式,再以此推导出桩轴向力、中性点位置和负摩阻力。     

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???????????У?PECE????????????????????????????Collocation????????????????幫??????????μ?PECE???????????????????ж??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????Adams-PECE????????PECE?????????????????????????????,???????????Collocation-PECE??????????????н???????????????Ч??     

边界元法在地下水补给量计算中的应用

本文是边界元法在地下水补给量计算中应用的一次尝试,它成功地把边界元法应用到考虑有垂向补给或排泄的实际水文地质问题中。文中详细地推导了考虑有垂向补给或排泄均质各向同性承压含水层非稳定流边界元法的计算公式,结合长春市八里堡群井开采试验的水位观测资料计算了河流边界的补给量;分析了目前边界元法在水文地质计算中出现的时间积分和面积积分问题,在这两个问题的解决上做了些改进;结合简单水文地质模型给出了边界元法的精确度。     

Dynamic responses of top tensioned riser under combined excitation of internal solitary wave, surface wave and vessel motion

An investigation on the dynamic response of a top tensioned riser (TTR) under combined excitation of internal solitary wave, surface wave and vessel motion is presented in this paper. The riser is idealized as a tensioned slender beam with dynamic boundary conditions. The KdV-mKdV equation is chosen to simulate the internal solitary wave, and the vessel motion is analysed by using the method proposed by Sexton. Using finite element method, the governing equation is solved in time domain with Newmark-β method. The computation programs for solving the differential equations in time domain are compiled and numerical results are obtained, including dimensionless displacement and stress. The action of internal solitary wave on the riser is like a slow powerful impact, and is much larger than those of surface wave and vessel motion. When the riser is under combined excitation, it vibrates at frequencies of both surface wave and vessel motion, and the vibration is dominated by internal solitary wave. As the internal solitary wave crest passes by the centre of the riser, the maximum displacement and stress along the riser occur. Compared to the lower part, the displacement and stress of the riser in the upper part are much larger.     

A rational boundary condition for simulating pollutants diffusive fields

How to determine the future open boundary conditions of the diffusive equation for certain bays or estuaries is still a question, although the present conditions can be easily obtained by observation.In this paper, a new concept "the effective reach" led to the conclusion on theopen boundary for the case n- 1 was confirmed by some numerical experiments. This rational boundary condition for simulating the pollutants diffusive fields can be effectively applied to environmental problems.     

摄动Wadati-Segur-Ablowitz方程的精确行波解

利用G′/G展开方法求解摄动的Wadati-Segur-Ablowitz（WSA）方程的解,并得到该方程推广形式的行波解,这几组行波解对Schrdinger方程的适定性的研究、可变为Lienard方程形式的一类非线性偏微分方程行波解的求解都有重要意义.为了更好的理解这几组行波解,给出了解的数值模拟图,通过数值模拟图可以直观的了解WSA方程中摄动项对方程波幅的影响.     

非保守弹性基础板的拟固有频率变分原理

对受随从力作用的非保守弹性基础矩形薄板，针对由微分－积分方程构成的基本方程和边界条件，建立了以挠度和基础反力为两变量的拟固有频率的广义变分原理，从而为该类问题的近似求解提供了理论基础。     

Homotopic Mapping Solving Method for Perturbed Mechanism of Western Boundary Undercurrents in Equator Pacific

1 Introduction The western boundary currents, counter undercurrents observed in the thermocline were studied in many ref- erences (Qu et al., 1997; Wang and Hu, 1998; Huang, 1991). The existence of the western boundary undercur- rents suggests the baroclinity of western boundary cur- rents, so the results of the study on their baroclinic structure and dynamics should have strong bearing on the baroclinic theory of oceanic circulation. However, be- cause of their late discovery, the baroclini…     

解扩散方程初边值问题的数值边界元积分方程法

在应用中(如数值天气预报等),经常需要对时空偏微分方程进行数值求解,通常大多采用有限差分计算或有限元法,虽然它们是应用得最广的数值解法(如差分方法),但也有某些局限和不足,本文提出了一种边界元积分方程法。作为示例,我们对扩散方程的初边值问题进行了基本原理和方法的讨论,其基本思想是通过积分变换,消除对时间的依赖性,再在变换空间中,用边界元法对积分后的方程进行数值处理,最后用数值逆变换以完成该问题的数值求解,本方法可对更为复杂的依赖于时间的方程进行类似处理,它具有不同于传统有限差分法和有限单元法特点的优越性,可供有关工作者解初边值问题试用和参考。     

Vector form Intrinsic Finite Element Method for the Two-Dimensional Analysis of Marine Risers with Large Deformations

Robust numerical models that describe the complex behaviors of risers are needed because these constitute dynamically sensitive systems. This paper presents a simple and efficient algorithm for the nonlinear static and dynamic analyses of marine risers. The proposed approach uses the vector form intrinsic finite element (VFIFE) method, which is based on vector mechanics theory and numerical calculation. In this method, the risers are described by a set of particles directly governed by Newton’s second law and are connected by weightless elements that can only resist internal forces. The method does not require the integration of the stiffness matrix, nor does it need iterations to solve the governing equations. Due to these advantages, the method can easily increase or decrease the element and change the boundary conditions, thus representing an innovative concept of solving nonlinear behaviors, such as large deformation and large displacement. To prove the feasibility of the VFIFE method in the analysis of the risers, rigid and flexible risers belonging to two different categories of marine risers, which usually have differences in modeling and solving methods, are employed in the present study. In the analysis, the plane beam element is adopted in the simulation of interaction forces between the particles and the axial force, shear force, and bending moment are also considered. The results are compared with the conventional finite element method (FEM) and those reported in the related literature. The findings revealed that both the rigid and flexible risers could be modeled in a similar unified analysis model and that the VFIFE method is feasible for solving problems related to the complex behaviors of marine risers.