回转圆筒内颗粒流速度场的实验研究

基于适用于稠相的粒子图像测速技术对二维回转圆筒内颗粒的流动模式和时均速度分布进行了研究.不同工况下料床的径向对称线、30%径向线和70%径向线上颗粒横向速度分量的分布具有相似性,该速度分布可由柱塞流区的指数型方程和活性层的切变流动方程相结合的形式来准确描述.低速下表面线上速度横向分布是对称的且峰值在中线处,随转速提高峰值逐渐向料床下部移动.表面层内颗粒温度的值远高于柱塞流区内的,其最大值存在于表面层底部颗粒剧烈碰撞的区域.     

Expansion of potential 1/r12 of c‐spherical harmonics

The expansion coefficient C^D_|L| of Coulomb potential 1/r₁₂ of atomic system in hyper‐spherical harmonics is derived and the explicit expression is given.     

A MEMS micromirror driven by electrostatic force

A microelectromechanical systems (MEMS) micromirror is demonstrated in this paper. The micromirror is actuated by an electrostatic force and can achieve a large out of plane stroke by eliminating the electrostatic pull-in effect. The micromirror consists of a mirror of 400 μm by 400 μm in the center, a spring and three fixed bottom electrodes each side. Design principles and the analytical model are both developed, and they are verified by finite element analysis (FEA). The resonant frequency for the piston movement of the designed micromirror is about 2.5 kHz by FEA simulation. The micromirror prototype has been fabricated by a surface micromachining process and it is successfully tested using a microsystem analyzer. An out of plane stroke of 1.65 μm is observed at 100 V and it agrees well with the predicted result from analytical model.     

线性规划中大M法的参数M估值问题

在线性规划的单纯形法中,为求初始的可行基有著名的大M法,即惩罚因子法.在通常的运筹学教材中,只说明当M充分大时,大M法是有效的,并没有给出参数M的确切估计值.现给出一个确定的常数M0,并证明当M>M0时,大M法收敛于原问题的最优解.