水轮发电机转子偏心引起的非线性电磁振动

由于机械和电磁相互耦合,水轮发电机的电磁振动具有强非线性特征。根据不平衡磁拉力与转子偏心的非线性函数关系,通过简化的各向同性的单圆盘转子系统,建立了水轮发电机转子电磁振动的非线性系统。利用非线性振动理论的多尺度方法,从理论上分析了该系统强迫振动的稳态响应,进而研究了水轮发电机转子偏心引起的电磁振动。研究发现不平衡磁拉力使系统的涡动频率下降,使运动的中心发生变化;并且会引起两倍转频的振动。最后用模型转子仿真试验的结果验证了这些理论分析的结论。     

基于ARX系统辨识模型的钢绞线张拉力识别*

钢绞线是预应力结构和大跨索承体系桥梁的核心受力构件,其实际保有应力值将决定结构的承载能力和耐久性。以钢绞线超声导波传播过程为独立系统,外在激励和数据采集为系统的输入和输出,通过ARX系统辨识方法分析钢绞线张拉力引起的系统模型参数变化,并以模型参数为特征向量,构建张拉力识别指标。实验结果表明该识别指标具有良好的单调线性变化规律,确定系数达到0.964;传感器布置在钢绞线端面和侧面具有相似的规律性,相对而言,端面布置传感器识别指标的敏感性和线性规律更好;重复加卸载过程,识别指标线性拟合斜率比较稳定,受钢绞线应力加载路径影响较小。     

判断叠放体是否做相对运动的两种方法

对叠放在水平面上的两个物体在水平方向拉力作用下是否做相对运动问题进行了探讨, 提出了临界 拉力、 临界加速度的概念, 导出判断是否相对运动的条件     

偶应力理论下拉力型锚固体的受力特性

锚固体的受力特征及其影响因素是锚固体设计的重要依据,直接影响锚固效果。传统的经典弹性理论没有考虑应变梯度的影响。偶应力理论引进弯曲曲率,考虑了弯曲效应对介质变形特性的影响。基于偶应力理论,建立了平面应变问题的有限元计算模型,研究锚固体锚固段界面上的剪应力分布、锚固体轴力分布、偶应力的尺度效应以及弹性模量和围压对锚固力的影响,并将偶应力理论的计算结果和经典弹性理论的计算结果进行了比较。结果表明,在偶应力理论下,锚固体锚固段界面的剪应力有所减小,特别是峰值处的剪应力减小明显;岩土的弹性模量越大,锚固界面局部剪应力越大;锚固力随着围压的增大而增大,偶应力尺度效应明显。     

双台肩钻杆丝扣粘扣失效的力学机制探究

针对丝扣粘扣中接触压力过大引发的塑性变形的问题,基于双台肩钻杆接头的三维有限元分析,分析了上扣扭矩、轴向拉力、旋转扭矩作用下的钻杆接头接触压力分布规律和Mises应力分布规律。研究结果表明:当轴向拉力达到2500kN时,主台肩上的接触压力降为零,这将使得载荷主要由螺纹牙来承担,增加丝扣粘扣的风险。当旋转扭矩超过24000N m时,一方面提高了副台肩上的接触压力,增加了副台肩失效的风险;另一方面大幅提高了螺纹牙的承载比例,增加了丝扣粘扣的风险。适当增大副台肩间隙和副台肩处的接触面积可以降低大位移井中副台肩失效的风险。适当增大主台肩、副台肩的接触面积可以降低超深直井中丝扣粘扣的风险。本文计算的三种工况条件下,最大Mises应力同样均位于公扣大端第一个螺纹牙处,说明该处是最易发生粘扣的部位,在螺纹结构的优化设计中应予以重点考虑。     

Dynamic behaviour of axially moving nanobeams based on nonlocal elasticity approach

In this article, transverse free vibrations of axially moving nanobeams subjected to axial tension are studied based on nonlocal stress elasticity theory. A new higher-order differential equation of motion is derived from the variational principle with corresponding higher-order, non-classical boundary conditions. Two supporting conditions are investigated, i.e. simple supports and clamped supports. Effects of nonlocal nanoscale, dimensionless axial velocity, density and axial tension on natural frequencies are presented and discussed through numerical examples. It is found that these factors have great influence on the dynamic behaviour of an axially moving nanobeam. In particular, the nonlocal effect tends to induce higher vibration frequencies as compared to the results obtained from classical vibration theory. Analytical solutions for critical velocity of these nanobeams when the frequency vanishes are also derived and the influences of nonlocal nanoscale and axial tension on the critical velocity are discussed.     

TENSILE STRENGTH FOR SPLITTING FAILURE OF BRITTLE PARTICLES WITH CONSIDERATION OF POISSON＇S RATIO

The core mechanism of comminution could be reduced to the breakage of individual particles that occurs through contact with other particles or with the grinding media, or with the solid walls of the mill. When brittle particles are loaded in compression or by impact, substantial tensile stresses are induced within the particles. These tensile stresses are responsible for splitting failure of brittle particles. Since many engineering materials have Poisson‘s ratios very close to 0.3, the influence of Poisson‘s ratio on the tensile strength is neglected in many studies. In this paper, the state of stress in a spherical particle due to two diametrically opposed forces is analyzed theoretically. A simple equation for the tensile stress at the centre of the particle is obtained. It is found reasonable to propose this tensile stress at the instant of failure as the tensile strength of the particle. Moreover, this tensile strength is a function of the Poisson‘s ratio of the material. As the state of stress along the z-axis in an irregular specimen tends to be similar to that in a spherical particle compressed diametrically with the same force, this tensile strength has some validity for irregular particles as well. Therefore, it could be used as the tensile strength for brittle particles in general. The effect of Poisson‘s ratio on the tensile strength is discussed.