中细柔性圆环壳整体弯曲的一般解及在波纹管计算中的应用(Ⅱ)——Ω型波纹管的计算

(Ⅱ)是(Ⅰ)的具体应用。计算了Ω型波纹管的角向刚度、横向刚度和应力分布,并将所得结果与有关的细环壳理论及实验进行了比较。结果表明,单独用(Ⅰ)的非齐次解能够计算Ω型波纹管的纯弯曲,而且比细环壳理论更接近实际;但在横向位移作用下,(Ⅰ)的非齐次解只能部分地满足边界条件,此时应同时考虑齐次解的作用,即完整的一般解(Ⅰ)才能满足所有的要求.     

The bending of light ray and unphysical solutions in general relativity

In general relativity, according to Einstein, a gauge is related to the time dilation and the space contractions, and thus a physically realizable gauge should be unique for a given frame of reference. Since more than one metric solution for the same frame can produce the same deflection angle, this means that an invalid space－time metric can produce the correct deflection angle for a light ray. To demonstrate this with an unambiguous example, we consider a new extreme case that there is no space contraction in the radius direction while the conditions of asymptotic flatness and the requirement for gravitational red shifts are satisfied. This solution has a distinct characteristic of "space expansion" in the other directions. Nevertheless, it turns out that, in spite of requiring far more subtle calculations, the resulting deflection angle of a light ray is the same. An interesting property of this new solution is that its event horizon corresponds to an arbitrary integral constant. Thus, this calculation demonstrates beyond doubt that an unphysical solution can produce the correct first-order approximation of light bending. This makes it clear that there is a main difference between local effects such as the gravitational red shifts and the local light speeds, which are not gauge invariant, and integrated effects such as the bending of light, which can be (restricted) gauge invariant.     

Analytical solution of bending-compression column using different tension-compression modulus

Based on elastic theory of different tension-compression modulus, the analyttcal solution was deduced for bending-compression column subject to combined loadings by the flowing coordinate systemaxis, stress, strain andand phased integration methoddisplacement were developed,The formulations for the neutralthe finite element program was compiled for calculation, and the comparison between the result of finite element and analytical solution were given too. Finally, compare and analyze the result of different modulus and the same modulus, obtain the difference of two theories in result, and propose the reasonable suggestion for the calculation of this structure.     

不同模量横力弯曲梁的解析解

选择处于平面复杂应力状态下横力弯曲梁,对结构进行了中性层的判定,推导出中性轴、正应力、剪应力、位移的计算公式,得到如下结论:对于复杂应力状态下的不同模量弹性弯曲梁,其中性轴位置与剪应力无关,因此用正应力作为判据而得到解析解,改进了以往用主应力判定中性点的多次循环的计算方法．把解析解的结果与经典力学同模量理论,以及有限元数值解进行了比较,结果表明:解析解很好地考虑了拉压不同模量的效应．还提出了对不同模量结构的计算修正以及对结构优化的思想．     

电子束在弯曲螺线管中的运动

 为研究HIRFL-CSR电子冷却装置中电子束穿过电子冷却装置中弯曲螺线管后电子横向能量的变化,用POISSON程序计算出弯曲螺线管的磁场分布,考虑了空间电荷效应,用数值方法模拟计算了电子在弯曲螺线管中的运动情况,得到了电子束横向能量变化最小时磁场各分量与电子束能量和弯曲螺线管几何尺寸之间的关系,并获得了电子束横向能量在束流截面的空间分布。     

用光纤光栅的啁啾效应实现温度不敏感的弯曲传感

本文首次将光纤布喇格光栅在梯度分布的应变作用下产生的啁啾效应应用于弯曲传感,提出了一种新颖的光纤光栅弯曲传感方法.由于传感量为光纤光栅的带宽,传感测量完全避开了温度的交叉敏感效应,实验测量得到了很好的线性响应.基于光谱分析仪0.1nm的光谱分辨率,实验的曲率分辨率为0.036m^-1,测量范围可达4m^-1.     

非经典多重键

在难以形成经典多重键的重原子（第三周期以下）之间可以形成一种非经典多重键。由于构成双键的两部分（即两个分子片）的基态分别是单线态,这种电子结构导致非经典双键由两个配位键构成,非经典三键则是在此基础上再加上一个π键。这种多重键的强度和键级较经典多重键为低。与两个配位键的电子结构相对应,含有非经典多重键的分子具有反式弯曲的几何构型。     

非共振带阻尼半线性梁方程系统的存在性结果

本文讨论可能带阻尼项的半线性梁方程系统 utt uxxxx But=Au g( t,x,u) h( t,x)的周期边值问题 .借助 L yapunov- Schmidt方法 ,利用 Leray- Schauder不动点定理 ,在一定条件下证明了该系统至少存在一个解     

电场作用下压电层合梁的分析

利用压电介质的二维本构关系,推导出带有上、下压电激励器的弹性梁在电场作用下的位移,应力分布的解析表达式,得到了压电激励器对弹性梁的等效作用力,最后给出了带有上,下压电激励的弹性梁在一端固支或两端简支边界条件下的算例。     

温克勒弹性地基上双层均质梁的基频分析

中利用达朗贝（d'Alembert)原理建立了置于温克勒（winkler)弹性地基上具有弹性联系的均质双层矩形截面梁体系的自由振动的微分方程式,利用伽辽金（Galerkin)法推出确定该双层梁体系自由振动频率的行列式,给出特征方程,作为算例,中对弹性地基上的双层均质梁,在简支边界条件下的基频进行了计算,所得结果,在不考虑梁间弹性联系的特殊情况下,与里兹（Ritz)法所确定的单梁自由振动的基频相符合。