求解复杂轴扭振动力特性的一种近似分析方法

应用模态摄动法求解非均质变截面复杂轴的扭转振动的模态特性。在这一方法中,选择与复杂轴约束条件相同、等截面均匀轴的扭转振动解析模态函数作为近似分析的基函数,采用Ritz展开和摄动分析相结合的方法,把复杂轴扭振的变系数微分方程的求解,转化为一组代数方程组的求解。虽然这一方法应用了结构振动分析中常用的Ritz展开原理,但避免了关于模态广义坐标的特征值问题的求解,通过代数方程组的求解,可逐一求得复杂轴的扭转振动的模态特性,简化了求解的难度。通过2个算例的分析表明,该方法简单实用,且具有较高的精度。     

Deflections of Timoshenko beam with varying cross-section

Closed form solutions are presented for bending beams with linearly and (in the binomial form) parabolically varying depth and for bending beams with linearly varying width along the beam's length. The solutions are developed taking into account the shear deformation of the beam. The solutions are achieved, in an original way, by transforming the fourth-order differential equations with variable coefficients into fourth-order differential equations with constant coefficients. Though the solutions presented refer to three recurrent variations in the beam cross-section shape, the procedure outlined can be applied to beams with binomial variation (with any exponent) in the depth or width of the cross-section. Moreover, the solutions can be achieved for polynomial, exponential and sinusoidal load conditions. The solutions can be utilized to obtain the stiffness factors and the flexibility coefficients of beams in the analysis of frames. Closed form solutions for longitudinal displacements are also presented. The analytical solutions are applied to four recurrent beams commonly used in civil engineering practice and a comparison with a numerical procedure is made.     

Infrared spectroscopic characterization of Na5Lu9F32 single crystals doped with various Er3+ concentrations

This work reports on optical spectra of Na₅Lu₉F₃₂ single crystals doped with various Er³⁺ concentrations from 0.5 to 5 mol%. In our improved Bridgman method, the X-ray powder diffractions were investigated and optical parameters were also calculated by the Judd–Ofelt theory. Results showed that Er³⁺ ions entered the Lu³⁺ sites successfully without causing any obvious peak changes, and the doping concentration of Er³⁺ had important influence on the Er³⁺ local structure in Na₅Lu₉F₃₂ crystals. The maximum emission intensities of ~1.5 and ~2.7 μm were obtained in present research when the doping concentration of Er³⁺ were 4 and 5 mol%, respectively, under the excitation of 980 nm LD. In these doping concentration, the maximum emission cross-sections were calculated to be 1.37 × 10^?20 cm² (~1.5 μm) and 2.1 × 10^?20 cm² (~2.7 μm). The gain cross-section at 2.7 μm was also estimated according to the absorption and emission cross section spectra. All these spectroscopic characterizations suggested that this fluoride crystal would possess promising applications in infrared lasers.     

纹理贴图模型的彩色截面轮廓生成算法研究

针对彩色3D打印彩色轮廓生成问题,本文提出一种基于纹理贴图模型的彩色轮廓生成算法。根据平面投影法建立纹理和三维模型的映射关系,接着对该模型进行切片处理取得轮廓顶点的几何信息和纹理信息;并根据轮廓顶点和纹理图片的映射关系,插值出顶点间色彩信息;同时给出一种内外轮廓的快速识别算法,并提出一种基于偏置算法的彩色轮廓偏置方法,形成颜色厚度,消除阶梯效应。     

基于可变局部边缘模式的绿色植物物种识别

绿色植物物种识别在生态环境保护、中药制取、农业与园艺应用等方面有着重要的应用前景和潜在的经济价值。边缘是一种直观、简单、有效的对象识别特征,文中针对传统边缘算子方向少,尺度单一,操作不灵活等缺点,使用一种具有多尺度、多方向属性的圆形局部边缘模式算子(varied local edge pattern,VLEP)提取植物图像的边缘特征,同时考虑阈值细分的思想,在自建的绿色植物物种数据库上进行的实验结果表明,该算法不仅可以弥补传统算子由于边缘方向少、尺度单一导致丢失边缘信息的缺陷,同时可以有效用于绿色植物物种识别。     

变截面粘弹性旋转梁非线性参数振动研究

研究了变截面粘弹性旋转梁的非线性参数振动.基于Kelvin-Voigt粘弹性本构关系,考虑几何非线性建立了变截面粘弹性旋转梁的非线性振动方程,用Galerkin法将其转化为常微分方程.运用多重尺度法得到其幅频响应.用数值方法讨论了转速和轮毂半径对梁固有频率和幅频响应的影响.研究表明:不稳定域随轮毂半径、转速的增大而增大,随锥度的增大而减小.     

VBA在AutoCAD渠道横断面绘图中的应用

通过VBA编程,建立AutoCAD的模型空间和Excel表格中特征参数联系,批量绘制渠道横断面。通过实例证明该方法可有效减少工作量,提高工作效率。     

Wave equations about displacement,velocity, stress and strain in fgm with constituents varied continuously and smoothly

The wave equations about displacement, velocity, stress and strain in functionally gradient material （FGM） with constituents varied continuously and smoothly were established. Four kinds of waves are of linear second-order partial differential equation of hyperbolic type and have the same characteristic curve at the plane of X,t. In general, the varying mode of stress is different from that of displacement and velocity at the front of wave. But in a special case that the product of density p and elastic modulus E of the material remains unchanged, the three wave equations have a similar expression and they have a similar varying mode in the front of wave.     

常压N2O4合成对基于紫外吸收的NO2体积分数测量的影响

研究了常压下NO2双合物N2O4的转化率对NO2气体紫外波段（200～220 nm）吸收截面以及NO2体积分数测量的影响.利用高分辨率光栅单色仪,测量了目标气体（NO2+N2O4）吸收截面随气体总压和自身分压的变化规律.实验结果表明,NO2向N2O4的转化率与气体总压和NO2分压的比值呈线性关系;随着气体总压从低压升高到常压（一个大气压左右）,NO2转化为N2O4的比率显著提高,目标气体有效吸收截面远大于NO2吸收截面.根据气体总压和有效吸收截面,可以得到校正后的NO2体积分数计算公式,能够显著提高NO2体积分数测量的精度.     

三维有限元任意截面剖分和插值计算方法

利用OpenGL,采用面向对象技术开发操作平台,通过人机交互式操作,将人为控制的粗线条子区域划分与映射法的精细自动剖分相结合,可实现有限元模型任意截面高质量高效率的网格映射法剖分.新生成的截面模型网格形态规则,可满足后处理的要求.提出了位移场插值方法和几种应力场插值方法,工程实例表明,可获得新生成截面模型精确的位移场和较为精确的应力场,使得有限元前后处理的进行不只基于一个模型,实现了前后处理对模型的独立操作,既方便了前处理的建模,也提高了后处理效率.