Exact solutions for vibration and buckling of an SS-C-SS-C rectangular plate loaded by linearly varying in-plane stresses

Exact solutions are presented for the free vibration and buckling of rectangular plates having two opposite edges (x=0 and a) simply supported and the other two (y=0 and b) clamped, with the simply supported edges subjected to a linearly varying normal stress σ_x=−N₀[1−α(y/b)]/h, where h is the plate thickness. By assuming the transverse displacement (w) to vary as sin(mπx/a), the governing partial differential equation of motion is reduced to an ordinary differential equation in y with variable coefficients, for which an exact solution is obtained as a power series (the method of Frobenius). Applying the clamped boundary conditions at y=0 and b yields the frequency determinant. Buckling loads arise as the frequencies approach zero. A careful study of the convergence of the power series is made. Buckling loads are determined for loading parameters α=0,0.5,1,1.5,2, for which α=2 is a pure in-plane bending moment. Comparisons are made with published buckling loads for α=0,1,2 obtained by the method of integration of the differential equation (α=0) or the method of energy (α=1,2). Novel results are presented for the free vibration frequencies of rectangular plates with aspect ratios a/b=0.5,1,2 subjected to three types of loadings (α=0,1,2), with load intensities N₀/N_cr=0,0.5,0.8,0.95,1, where N_cr is the critical buckling load of the plate. Contour plots of buckling and free vibration mode shapes are also shown.     

功能梯度涂层热残余应力

涂层中的残余应力严重影响着涂层零件的机械完整性与操作可靠性。对于功能梯度涂层,由于各界面位移协调条件的限制,很难得到涂层内部残余应力的闭合解。基于传统的悬臂梁理论,获得了功能梯度涂层热残余应力的闭合解;这一分析模型的优点是残余应力的闭合解与涂层层数无关。讨论了采用传统的近似解所带来的误差, 针对含不同层数的ZrO2/NiCoCrAlY功能梯度涂层内部的残余应力进行了计算。另外,对应力诱导的涂层失效模型也进行了分析。     

任意复杂曲面曲线零件曲率半径的图解法

复杂曲面零件在机械设计中很广泛 ,本文根据微分几何的分析方法 ,研究了曲线在基本三面形上的投影特性 ,得出了空间曲线上某点的曲率等于该曲线在密切面的投影的曲率 ,从而用图解法求出空间曲线在密切平面上的投影及其曲率 ,即求出空间任意曲线的曲率。在实际工程中具有现实意义和较大的推广应用。     

Epifluorescence microscopy study of a quadruple node of triple junctions of grain boundaries in a Eu2+‐doped Kcl:Kbr solid solution by using the doping ion as a fluorochrome

A typical quadruple node (QN) of triple junctions (TJs) of grain boundaries (GBs) in a Eu²⁺‐doped KCl_0.52Br_0.48 solid solution is investigated from the geometrical point of view by epifluorescence microscopy using the doping ion as a fluorochrome. The excitation and fluorescence optical properties of the fluorochrome were previously characterised by spectrophotometry whereas the structural nature of the studied material as well as its Bravais lattice type, unit cell size and long‐range translational order degree was determined by X‐ray diffraction. A three‐dimensional reconstruction was built from the microscopy images of different optical cross‐sections of the studied arrangement of crystal defects. In the close vicinity of the QN, the studied arrangement of crystal defects adopts the geometry of a collapsed tristetrahedron which, centred at the QN, has its legs along the TJs and, hence, has its faces as collapsed in pairs into the GBs. The angles defined by different TJ couples as well as the dihedral angles defined by the different GB couples meeting in every TJ were measured at the QN site. All, the image recording and stacking as well as the measuring procedures are carefully described. The measured TJ angles (97°, 117°, 95°, 117°, 99° and 130° ± 2°) depart from the characteristic angle (109.47°) of a tetrahedron whereas the measured GB angles (101°, 119°, 140°; 125°, 127°, 108°; 133°, 109°, 119°; 129°, 99° and 132° ± 2°) depart from the angular argument (120°) of a 3‐fold symmetry rotation indicating that, in the close neighbourhood of the QN, the studied arrangement of crystal defects is structurally unstable. Such an instability is associated with an observed mismatch in orientation (by angles of 20°, 15°, 33° and 30° ± 2°) between the TJs and some <111> zone axis matrix lattice crystallographic directions ([], [11], [11] and [11]), respectively). Local variations in anionic composition, existing within the solid solution matrix, are discussed to be responsible for this mismatching and, therefore, for the observed structural instability.     

生物医用钛合金TiN涂层微磨粒磨损及耐蚀性初步研究

对生物医用Ti6Al4V合金表面TiN涂层机械力学性能进行了研究,在分析力学性能的基础上,考察了TiN涂层在蒸馏水和Hank’s模拟体液中的耐磨性,并在Hank’s模拟人体体液中研究了TiN涂层在静态环境中的腐蚀行为。结果表明:在Ti6Al4V合金表面沉积TiN涂层后,其耐磨性和耐蚀性大大提高,有利于改善钛合金在人体环境中的使用寿命。     

基于IFAHP的BIM管线碰撞优化模型

针对BIM管线碰撞技术尚不能根据碰撞位置给出管线的优化方案问题,利用直觉模糊层次分析法(IFAHP)建立了一种BIM管线碰撞优化模型。首先,依据建筑管线施工规范,从施工成本、施工难度、施工安全性和施工美观度四个方面建立了管线碰撞评价指标体系;其次,根据碰撞点位置状况,依据IFAHP构造出不同的直觉模糊判断矩阵,建立相应的直觉模糊决策模型,进而给出不同管线碰撞点的管线优化方案。最后,通过实例验证了该BIM管线碰撞优化模型的有效性和可行性。     

基于数学解析法的油纸绝缘参数辨识研究

现阶段变压器油纸绝缘等效弛豫机构参数辨识多采用拓扑支路数任意假定、粒子群等智能算法对 N组非线性方程组寻优迭代计算。其计算往往具有收敛性差、结果不唯一等问题,且难以从介质响应函数特性分析真实的油纸绝缘弛豫过程,影响后续弛豫参数对老化评估的准确性。基于此,提出一种应用数学解析法的变压器油纸绝缘弛豫机构参数辨识新方法。首先,从介质响应函数特性出发,深入挖掘弛豫项数信息,辨识油纸绝缘等效弛豫机构的拓扑结构;其次,公式推演得到参数辨识的数学计算公式,避免了智能算法对非线性方程组的寻优误差与不唯一性;最后,通过实例验证该方法的有效性与可行性,提出的数学解析法可为变压器油纸绝缘介质内部弛豫响应特性提供可靠的数学分析模型。     

面向网络协同制造的制造服务优化选择研究

为了更好地实现网络制造环境下制造资源共享与优化配置,提出了协同制造链的概念;详细分析了协同制造链构建过程中的制造服务优化选择问题,建立了其数学模型;并进一步针对该问题,给出了一个制造服务评价指标体系;在此基础上,设计了一个基于模糊层次分析法的制造服务优化选择算法;最后,通过实例验证了该算法的有效性。     

基于矩阵属性变换的机械传动系统多方案产生

通过分析机械工程系统的功能关系确立待设计系统的物理变量 ,利用键合图的基础元件建立基本功能转换矩阵 ,根据机械系统中能量传递建立系统矩阵模型 ,采用矩阵属性变换 ,产生多个机械传动系统设计方案。并结合实例说明其应用     

变构型桁架式卫星平台结构设计与性能评价

为实现大型通信卫星内部有效载荷维修可达,根据传统卫星平台的框架结构和承力结构,设计了6种可重复变构型桁架式卫星平台构型.提出评价变构型卫星平台性能的主要指标,包括结构质量、惯量变化率、整流罩面积利用率、展开表面积比、展收状态下振动频率、设备布局影响和折展机构复杂度等.分析6种变构型桁架式卫星平台构型的上述性能指标,采用层析分析法得到各个性能指标的权重,基于模糊综合评价法优选出综合性能较佳的构型.根据空间机构多闭环自由度计算公式计算出优选构型折展机构自由度为1,该折展机构具有唯一确定的运动.完成了优选构型的结构设计,并制作3D打印模型演示了变构型过程,卫星平台原理上可实现可重复变构型的功能.