A multi-order method for predicting stability of a multi-delay milling system considering helix angle and run-out effects

In this paper, a multi-delay milling system considering helix angle and run-out effects is firstly established. An exponential cutting force model is used to model the interaction between a work-piece and a cutting tool, and a new approach is presented for accurately calibrating exponential cutting force coefficients and cutter run-out parameters. Furthermore, based on an implicit multi-step Adams formula and an improved precise time-integration algorithm, a novel stability prediction method is proposed to predict the stability of the system. The involved time delay term and periodic coefficient term are integrated as a comprehensive state term in the integral response which is approximated by the Adams formula. Then, a Floquet transition matrix with an arbitrary-order form is constructed by using a series of matrix multiplication, and the stability of the system is determined by the Floquet theory. Compared to classical semi-discretization methods and full-discretization methods, the developed method shows a good performance in convergence, efficiency, accuracy, and multi-order complexity. A series of cutting tests is further carried out to validate the practicability and effectiveness of the proposed method. The results show that the calibration process needs a time of less than 5 min, and the stability prediction method is effective.     

一种新型陀螺的力矩器非圆性误差补偿方法

为提高磁悬浮控制敏感陀螺（MSCSG）对陀螺载体姿态的敏感精度,基于其洛伦兹力磁轴承（LFMB）的设计结构,提出了一种力矩器非圆性误差补偿方法。首先,针对一种新型双球形包络面转子MSCSG,介绍了MSCSG的结构特点与陀螺载体姿态角速度敏感原理,并分别建立了MSCSG力矩器半径误差模型、转子偏转干扰力矩模型与陀螺载体姿态角速度敏感误差模型。其次,通过实验测量了力矩器的圆度,通过MATLAB进行数据拟合得到了力矩器的非圆特性,采用勒让德多项式级数对力矩器非圆性进行了描述,并有效补偿了因力矩器非圆性误差导致的姿态角速度敏感误差。最后,对误差补偿效果进行了仿真验证,结果表明该补偿方法使陀螺载体姿态角速度敏感误差降低了83.5%。此外,本文方法还可以解决LFMB陀螺的相关共性问题。      

径向磁气组合轴承系统的动态性能

为探究磁轴承失效时能否减轻转子跌落带来的损害,将人字槽径向动压气体轴承引入磁轴承转子系统,研究磁气组合轴承对系统动态性能的影响和动压气体轴承的支承特性。采用有限差分法和小扰动法求解气膜厚度方程和雷诺方程,研究动压气体轴承的静动态特性。对磁轴承电磁力进行了分析,采用磁轴承不完全微分PID（比例-积分-微分）控制策略,对系统进行了理论模态分析和试验模态分析,完成了系统高速旋转试验,测试了动压气体轴承在不同偏心率和转速下的承载力。结果表明,引入动压气体轴承可提高系统的动态性能,在磁轴承失效造成高速转子跌落瞬间,偏心率趋近于1,两个径向动压气体轴承能够产生较大承载力,减轻转子跌落造成的损害。      

转子叶栅非同步振荡发声特性研究

轴流压气机转子叶片排振荡疲劳失效是常见的气动弹性失稳问题。当转子叶栅处于非同步振荡状态下时,压气机管道内部将伴随着异常噪声的产生,这类噪声的频率既不是分布在叶片通过频率及其谐波上,也不是分布在转子轴频率及其谐波上,同时也不满足简单多普勒效应。为了解释这种异常噪声现象,以三维升力面理论为基础,讨论叶片对其附近流体施加非定常载荷的发声问题,给出了转子叶栅振荡异常发声问题的物理解释,建立了声场频率及模态特性与转子声源特性的直接关系式,并给出了频率特性不同于叶片通过频率且不符合简单多普勒效应的完整解释。在此基础上,通过机理性实验研究证实了该模型的正确性。实验结果表明,理论预测声场的频率和周向模态特性与实验结果完全一致。     

网络图中边集束优化问题

网络规模增大和复杂度提高造成的节点遮挡覆盖和边交叉阻塞等问题成为网络可视化研究的热点.针对网络中出现的视觉凌乱问题,以空间位置和群组关系为出发点,从网络中独立的边和群组两个层次,以边汇合的角度研究边集束技术,将网络中临近的边集聚成束以降低视觉复杂度,提出和改进了分段力导引算法(FDA)简化模型和群组边相容的网络图边集束模型.其中分段集束模型,提出以二次样条曲线表示网络边,通过样条控制点进行迭代汇聚的方法,实现了网络中边的集束;针对分段集束模型中部分连线过度弯曲问题,提出通过CNM聚类算法将网络进行群组划分,在群组结构的基础上对组内连线应用边相容原则,根据连线的匹配系数计算其集束程度的方法,网络图集束后曲线扭曲变形减少,曲线过渡更加平滑.选取国内航空网络作为案例,通过两种边集束模型进行网络图简化,分析结果表明,国内机场的群组结构具有地理属性的相近性,航空网络在整体上呈现出明显的十字脉络,东西走向和南北走向的航线分别汇聚集结成束,表现了航空网络建设在南北和东西方向的总体趋势.本集束简化算法适用性广,绘制的网络图具有良好的视觉效果和可读性.      

Impact of bending dies with different friction forms on forming force and quality of tubes manufactured by free bending technology

In the 3D free bending forming system, the bending die can be designed either in a sliding type or rolling friction type. Bending die-based sliding friction type is often called normal bending dies; however, the bending dies-based rolling friction type includes bending die-based roller type and ball type in structure. In the current study, the impact of three bending dies on the forming force, and the bent tube quality was investigated. The obtained results showed that the tangential stresses and strains of the tubes formed by the bending die-based roller type were the smallest among the three bending dies. Besides, the spherical bearing force P_U was reduced drastically after using the roller type and ball type compared to the sliding friction type. Moreover, the uniformity of the wall thickness distribution of the tubes formed by the roller type and ball type was better than those obtained from the sliding friction type. In addition, the cross-section distortion rate was reduced by 2.8% using the roller type, and 1.8% using ball-type compared to the sliding friction type.     

Grinding force and surface quality in creep feed profile grinding of turbine blade root of nickel-based superalloy with microcrystalline alumina abrasive wheels

Creep feed profile grinding of the fir-tree blade root forms of single crystal nickel-based superalloy was conducted using microcrystalline alumina abrasive wheels in the present study. The grinding force and the surface quality in terms of surface topography, subsurface microstructure, microhardness and residual stress obtained under different grinding conditions were evaluated comparatively. Experimental results indicated that the grinding force was influenced significantly by the competing predominance between the grinding parameters and the cross-sectional root workpiece profile. In addition, the root workpiece surface, including the root peak and valley regions, was produced with the large difference in surface quality due to the nonuniform grinding loads along the root workpiece profile in normal section. Detailed results showed that the surface roughness, subsurface plastic deformation and work hardening level of the root valley region were higher by up to 25%, 20% and 7% in average than those obtained in the root peak region, respectively, in the current investigation. Finally, the superior parameters were recommended in the creep feed profile grinding of the fir-tree blade root forms. This study is helpful to provide industry guidance to optimize the machining process for the high-valued parts with complicated profiles.     

Dynamics and control of spacecraft hovering using the geomagnetic Lorentz force

To achieve hovering, a spacecraft thrusts continuously to induce an equilibrium state at a desired position. Due to the constraints on the quantity of propellant onboard, long-time hovering around low-Earth orbits (LEO) is hardly achievable using traditional chemical propulsion. The Lorentz force, acting on an electrostatically charged spacecraft as it moves through a planetary magnetic field, provides a new propellantless method for orbital maneuvers. This paper investigates the feasibility of using the induced Lorentz force as an auxiliary means of propulsion for spacecraft hovering. Assuming that the Earth’s magnetic field is a dipole that rotates with the Earth, a dynamical model that characterizes the relative motion of Lorentz spacecraft is derived to analyze the required open-loop control acceleration for hovering. Based on this dynamical model, we first present the hovering configurations that could achieve propellantless hovering and the corresponding required specific charge of a Lorentz spacecraft. For other configurations, optimal open-loop control laws that minimize the control energy consumption are designed. Likewise, the optimal trajectories of required specific charge and control acceleration are both presented. The effect of orbital inclination on the expenditure of control energy is also analyzed. Further, we also develop a closed-loop control approach for propellantless hovering. Numerical results prove the validity of proposed control methods for hovering and show that hovering around low-Earth orbits would be achievable if the required specific charge of a Lorentz spacecraft becomes feasible in the future. Typically, hovering radially several kilometers above a target in LEO requires specific charges on the order of 0.1 C/kg.     

壁面吊挂清洗机器人碰壁缓冲问题研究

从机器人自动上壁及缓冲的需求出发,分析了机器人拉力形成的机理、碰壁的原因和过程.利用空气动力学原理,给出了拉力的计算方法,采用机器人物理样机进行实验,对计算结果进行了验证.在拉力的作用下机器人与壁面贴合,同时伴随碰撞,其间冲击能量的吸收由机器人裙边和支撑机构所构成的缓冲装置承担.前者还要保证机器人贴壁后的密封,因此刚度不宜过大,后者还要保证机器人在壁面上稳定行走,因此它的刚度又不宜过小.给出了缓冲装置刚度的确定方法及其在裙边和支撑机构上的分配准则,可用于工程分析.