Geometric error analysis of an over-constrained parallel tracking mechanism using the screw theory

This paper deals with geometric error modeling and sensitivity analysis of an overconstrained parallel tracking mechanism. The main contribution is the consideration of overconstrained features that are usually ignored in previous research. The reciprocal property between a motion and a force is applied to tackle this problem in the framework of the screw theory. First of all, a nominal kinematic model of the parallel tracking mechanism is formulated. On this basis, the actual twist of the moving platform is computed through the superposition of the joint twist and geometric errors. The actuation and constrained wrenches of each limb are applied to exclude the joint displacement. After eliminating repeated errors brought by the multiplication of wrenches, a geometric error model of the parallel tracking mechanism is built. Furthermore,two sensitivity indices are defined to select essential geometric errors for future kinematic calibration. Finally, the geometric error model with minimum geometric errors is verified by simulation with SolidWorks software. Two typical poses of the parallel tracking mechanism are selected, and the differences between simulation and calculation results are very small. The results confirm the correctness and accuracy of the geometric error modeling method for over-constrained parallel mechanisms.     

A data-driven approach to modeling high-density terminal areas: A scenario analysis of the new Beijing,China airspace

Airports are being developed and expanded rapidly in China to accommodate and pro-mote a growing aviation market. The future Beijing Daxing International Airport (DAX) will serve as the central airport of the JingJinJi megaregion, knitting the Beijing, Tianjin, and Hebei regions together. DAX will be a busy airport from its inception, relieving congestion and accommodating growth from Beijing Capital International Airport (PEK), currently the second busiest airport in the world in passengers moved. We aim to model terminal airspace designs and possible conflicts in the future Beijing Multi-Airport System (MAS). We investigate standard arrival procedures and mathematically model current and future arrival trajectories into PEK and DAX by collecting large quantities of publicly available track data from historical arrivals operating within the Beijing terminal airspace. We find that (1) trajectory models constructed from real data capture aberrations and deviations from standard arrival procedures, validating the need to incorporate data on histor-ical trajectories with standard procedures when evaluating the airspace and (2) given all existing constraints, DAX may be restricted to using north and east arrival flows, constraining the capacity required to handle the increases in air traffic demand to Beijing. The results indicate that the termi-nal airspace above Beijing, and the future JingJinJi region, requires careful consideration if the full capacity benefits of the two major airports are to be realized.     

数学建模在应用型人才培养中的作用分析

数学建模可以提升学生综合素质，培养其创新及实践能力，因此，提高高校大学生的数学建模能力，对于培养应用型人才具有十分重要的意义。针对数学建模在应用型人才培养中的作用进行了分析，并提出了若干建议，以提升高校大学生的数学建模能力。     

铣削加工工艺力学机理研究

结构件数控铣削加工技术广泛应用于航空航天工业中。铣削加工中,不合理工艺参数下的切削力会引起较大刀具-工件变形及加工颤振,极大影响着加工精度和质量。深入研究工艺过程的力学机理,进而采用建模仿真技术来优选工艺参数,对高效高精度加工技术的实现具有重要意义。本研究围绕切削力建模、动力学建模与颤振稳定性分析以及变形误差预测与控制技术等相关工作进行介绍。     

智能机床的误差补偿技术

误差补偿技术是智能机床精度提高与保持的关键技术之一.分析了国内外机床误差补偿技术研究现状,提出智能机床误差补偿技术总框架;总结了智能机床误差源、误差元素、几何与热误差的误差元素模型及建模方法,以及典型的误差补偿方法;研究了力误差补偿技术、基于零件在线测量的误差综合补偿技术;最后,对未来智能机床误差补偿技术的发展重点进行展望.     

鼠笼式弹性支承结构参数分步优化设计方法

为进一步提高鼠笼式弹性支承结构支承刚度设计的准确性,同时最大限度地减小鼠笼受到的最大应力,在相关研究的基础上,基于参数化建模思想,并结合有限元优化技术提出分步优化设计方法.采用鼠笼式弹性支承的刚度和应力计算公式并结合加工装配条件初定1组满足设计要求的结构参数值;建立鼠笼式弹性支承的有限元优化模型,并将初定的结构参数值代入到有限元优化模型作为优化的初始迭代值,同时以鼠笼笼条的长度和厚度为优化参数,经过迭代计算得到满足工程需求的结构参数.该方法可提高设计精度,节省设计时间.最后,结合具体算例验证了优化设计方法的有效性和实用性.     

测试三轴转台误差分析及建模

以用于测斜仪的三轴转台为研究背景,通过分析其运动规律,探讨了三轴转台不正交度误差源对三轴转台精度的影响,并用MATLAB对它进行了误差建模,仿真计算得出了系统装配不正交时三个坐标的误差率;最后,引入实际测试过程中角度传感器的测量误差,在三轴不正交的前提下又对三坐标测量误差进行了数学建模,通过仿真分析,研究探讨了角度传感器带来的误差规律,在实际应用中为测斜仪标定测试和误差补偿提供了理论依据.     

飞机方向舵故障建模与侧风着陆仿真

基于风洞试验数据和CFD数据,建立了某型飞机上、下两片方向舵在松浮、卡滞和脱落等故障的数学模型;针对方向舵脱落故障,在飞行模拟器上进行了人在环的侧风着陆仿真试验,验证了模型的准确性,得到了与实际侧风响应相吻合的故障模型;最后,基于此模型探讨了方向舵故障下的侧风着陆安全性与驾驶员负荷.     

带气膜阻尼结构振动特性的理论研究

针对航空发动机气膜阻尼的结构设计需求,基于挤压间隙流理论和能量方程建立气膜阻尼的力学模型,由此获得气膜阻尼结构的等效刚度系数和等效阻尼系数,通过振动方程的理论推导获得放大因子的表达式.结果表明:气腔厚度、气腔初始压强、吸振薄板模态频率和安装位置是影响减振效果的关键参数.气腔最优厚度主要由附面层厚度和实际振动频率决定,需结合实际情况确定气腔厚度,以最大程度降低振动响应;气腔初始压强越高,阻尼系数越大;吸振薄板的固有频率应尽可能与叶片本体接近,并且安装在本体振动响应最大位置,以取得最好的减振效果.      

Nonlinear dynamic modeling of a helicopter planetary gear train for carrier plate crack fault diagnosis

Planetary gear train plays a significant role in a helicopter operation and its health is of great importance for the flight safety of the helicopter. This paper investigates the effects of a planet carrier plate crack on the dynamic characteristics of a planetary gear train, and thus finds an effec-tive method to diagnose crack fault. A dynamic model is developed to analyze the torsional vibra-tion of a planetary gear train with a cracked planet carrier plate. The model takes into consideration nonlinear factors such as the time-varying meshing stiffness, gear backlash and viscous damping. Investigation of the deformation of the cracked carrier plate under static stress is performed in order to simulate the dynamic effects of the planet carrier crack on the angular displacement of car-rier posts. Validation shows good accuracy of the developed dynamic model in predicting dynamic characteristics of a planetary gear train. Fault features extracted from predictions of the model reveal the correspondence between vibration characteristic and the conditions (length and position) of a planet carrier crack clearly.