组合荷载作用下腐蚀缺陷管道的极限承载力

腐蚀缺陷的存在会降低管道的承载力,影响管道的正常运行.考虑了管道轴向与环向材料强度的各向异性,提出了腐蚀缺陷压力管道在内压、轴力和弯矩组合荷载作用下极限承载力的一组广义解.推导了等深度腐蚀、椭圆腐蚀和抛物线三种形状腐蚀缺陷管道的解析解.通过算例验证了解析解与广义解结果具有很好的吻合性.腐蚀形状对极限承载力有显著影响,把...     

基于边界元法的非均质薄板弯曲问题的解

本文用边界元法研究非均质无限域弹性薄板弯曲问题.在数值实施过程中,对于夹杂和基体分别形成边界积分方程.通过离散边界积分方程,得到相应的方程组,然后结合界面条件,最终获得问题的求解方程组.在界面的相关量求得之后,可以根据需要来求解基体和夹杂中的有关位置的弯矩.数值结果与已有的解做了对比.     

一种可考虑弯曲效应的多步法及其在矩形管拉弯成形中的应用

多步法可以考虑变形历史,也顺应了多工步成形的需要,在板料成形的数值模拟中有着良好的应用前景。但传统的多步法主要是基于膜单元的,没有能够准确地考虑成形中的弯曲效应,不适合模拟弯曲变形占主导的成形过程,如型材的拉弯成形。为此,本文将无转动自由度的BST壳单元引入,通过单元片内四个相邻单元,方便地计算出相邻构型的曲率,并通过...     

On a differential game in a nondamped distributed system

We study a differential game of approach in a system whose dynamics is described by a Sobolev‐type second‐order operator differential equation in Hilbert spaces. Solutions of the equation are represented by cosine and sine operator functions. To obtain solvability conditions of the game problem, we use support functionals of two sets, which defined by the behaviors of pursuer and evader. The results are applied to the investigation of conflicted‐controlled dynamics of bending waves in a rod.     

In situ measurement of pressure and strain effects in corundum ceramics

Abstract

An Equipement has been built for the generation of uniaxial pressure and of bending stress respectivety directly in the cavity of an X-band ESR spectrometer. Changes of the structure of paramagnetic centres (Fe³⁺ on Al³⁺ sites) could be detected in materials with a high content of corundum under the innuence of pressure and bending stress. The objects of investigation are not only suitable model system but also have practical relevance. The Fe³⁺-ions, incorporated in the materials react very sensitive on mechanically or thermally induced changes of the state of the matrix. They give insight into the materials at a microscopic level The interpretation of the observed intensity and shift effects is possible on the basis of an adequate spin-hamiltonian.     

一种新型多芯-双模-大模场面积光纤的设计和分析

提出了一种新型双空气孔多芯-双模-大模场面积光纤结构, 计算了其模场分布、基模有效面积及弯曲损耗特性, 分析了各结构参量对其有效折射率及有效面积的影响. 这种结构在增大有效面积的同时使得二阶模的TE₀₁, TM₀₁模截止, 实现双模传输, 基模有效面积约为1044 μm².调整其结构参量, 甚至可以达到单模传输.这种结构制作简单、设计灵活, 可用于高速大容量无源光纤及有源器件中.合理设计各结构参量, 可以使有效面积达到3512 μm²甚至更高, 从而满足光通信领域中大容量、高功率传输等实际应用的需求. 关键词： 多芯光纤 双模 大模场面积 弯曲损耗     

Investigation of the Effective Space–Time of the Vacuum Nonlinear Electrodynamics in a Magnetic Dipole Field

The metric tensor of the effective pseudo-Riemannian space–time for an electromagnetic wave propagating in the magnetic dipole field and the gravitational field of a neutron star is obtained within a parameterized post-Maxwellian vacuum electrodynamics. The angles of the nonlinear electrodynamic and gravitational ray bending for electromagnetic waves propagating in the magnetic equatorial plane of the star are calculated based on an analysis of isotropic geodesics of this space. We show that for all nonlinear theories whose post-Maxwellian parameters do not coincide, the velocity of the electromagnetic signal propagation in external fields and the rays along which these signals propagate depend on the polarization of the electromagnetic waves. The difference of the source-to-detector propagation time of these signals for two principal polarization states is calculated.     

E3对转涡轮设计特点分析(Ⅱ)--过渡段不同方案的流场分析比较

本文以E3对转涡轮方案为背景,针对高压涡轮动叶设计难以满足低压涡轮预旋需求的难点,提出了取消低压涡轮导叶,改由过渡段支板弥补高压涡轮所提供预旋不足的过渡段改进设想.对过渡段支板不同改进方案和E3原方案进行了流场计算、气动性能比较及结构可行性分析.     

波纹壳的格林函数方法

应用轴对称旋转扁壳的基本方程,研究了在任意载荷作用下具有型面锥度的浅波纹壳的非线性弯曲问题·　采用格林函数方法,将扁壳的非线性微分方程组化为非线性积分方程组·　再使用展开法求出格林函数,即将格林函数展成特征函数的级数形式,积分方程就成为具有退化核的形式,从而容易得到非线性代数方程组·　应用牛顿法求解非线性代数方程组时,为了保证迭代的收敛性,选取位移作为控制参数,逐步增加位移,求得相应的载荷·　在算例中,研究了具有球面度的浅波纹壳的弹性特征·　结果表明,由于型面锥度的引入,特征曲线发生显著变化,随着荷载的增加,将出现类似扁球壳的总体失稳现象·　本文的解答符合实验结果·     

Analytical bending solutions of elastica with one end held while the other end portion slides on a friction support

Summary Treated herein is an elastica under a point load. One end of the elastica is fully restrained against translation, and elastically restrained against rotation, while the other end portion is allowed to slide over a friction support. The considered elastica problem belongs to the class of large-deflection beam problems with variable deformed arc-lengths between the supports. To solve the governing nonlinear differential equation together with the boundary conditions, the elliptic integral method has been used. The method yields closed-form solutions that are expressed in a set of transcendental equations in terms of elliptic integrals. Using an iterative scheme, pertinent bending results are computed for different values of coefficient of friction, elastic rotational spring constant and loading position, so that their effects may be examined. Also, these accurate solutions provide useful reference sources for checking the convergence, accuracy and validity of results obtained from numerical methods and software for large deflection beam analysis. It is interesting to note that this class of elastica problem may have two equilibrium states; a stable one and an unstable one. Received 5 August 1996; accepted for publication 14 February 1997