0 Introduction

More and more electric aircraft takes electric power system as its second power by using it to replace the original hydraulic，pneumatic and mechanical system［1，2］.As a result，it has the characteristics of simple structure，light weight，high reliability and high ratio of performance to price［3－5］.For the insurmountable and inherent defects of the hybrid system in current aircraft，the aircraft maintenance caused by such relevant systems accounts for more than 50%of the total aircraft maintenance［3］.Since all－electric system has high reliability，high maintainability，low security and operating cost，and many other inherent advantages，the nose wheel steering system would be developed in the all－electric direction［6］.The realization of all－electric aircraft depends on whether the aircraft function subsystem can be developed using the electric power as its power.The realization of the all－electric nose wheel steering system would perfect the overall aircraft performance，and speed up the all－electrification process of aircraft.

To date，the electric power systems used for flight control，environmental control，brake，fuel and engine starting system have been verified［6］.European scholars began to investigate the allelectric nose wheel steering system［7，8］，they predict that the all－electrification would increase the levels of reliability and availability significantly.Besides，the coordination and cooperation between the all－electric nose wheel steering system and automatic ground navigation system would increase the efficiency of air transport system.Refs.［9，10］describe the design and testing of a dual－lane electric drive for the operation of a prototype，electromechanically actuated，nose wheel steering system for a commercial aircraft.The drive features two fully independent motor controllers，each operating one half of a three－phase motor to produce an actuator capable of full operation in the event of an electrical fault.

尽管被列入了国家级非物质文化遗产名录，国家也推出了相关的保护、发展政策。但是，在目前这种日新月异、快速更新换代的时代，这些投入明显是不够的，国家需要更多地关注苗族银饰的发展传承，投入更多的人力、物力，同时加强对传承人的思想教育，让其主动、积极地跟新一代传承者展示苗族银饰的设计理念、制作过程，从根源上解决问题。

Ref.［11］introduces the system architecture and redundance function principle and the design of peripheral interface circuit and the software of the digital skidpoof brake integrated controller.To prevent the similar redundant system occurring common fault avalanche damage，the dissimilar dual redundancy digital steering control box is designed in Ref.［12］.A nose wheel steering servo system composed of electromechanism actuator，controller and displacement sensor is introduced in Ref.［13］.The electromechanical actuator adopts the crew－slider－fork design to realize the requirement of miniaturization and high load.

For both civil aircraft and military aircraft，the realization of all－electric nose wheel steering system is significant to the improvement of ground operating performance.

An all－electric aircraft nose wheel steering system composed of a nose wheel steering mechanism of two worm gear and a control servo system of fly－by－wire having both steering and antishimmy function is designed here first.Then the simulation model of the system is established to simulate the dynamics for the verification of its steering function.Moreover，the prototypes of the steering mechanism and control system are built and tested to validate the design，and the steering test bench is prepared to test the work perform of the proposed system.The test results，such as steer angle，steer torque are analyzed in details and compared with the theoretical results.

1 Design of Nose Wheel Steering System

1.1 The overall scheme design

The nose wheel steering system belongs to the electromechanical actuator system，which is the general name for the position servo control system in aviation and aerospace，military，transportation，agricultural and industrial machinery and equipment，and controls the movement of its load directly or indirectly through controlling the operation of motor［14］.As shown in Fig.1，it is composed of two main parts：The actuator module and the electric control unit.

Fig.1 Structure block of nose wheel steering system

The actuator module is responsible for converting electrical energy into mechanical energy and feeding back the mechanical transmission to control system.The diagram of the steering system is shown in Fig.2，encompassing a motor，a torque limiter，a clutch，a reducer，a damper，a worm gear and sensors.In the process of aircraft steering on ground，the controller would firstly control the motor rotation according to the input signal.Then the motor would transmit its torque to the torque limiter，reducer and clutch successively.Consequently，the worm gear begins to rotate to realize the aircraft nose wheel steering.Its main components are described as follows：

Fig.2 Single redundant channel in steering system

Motor—According to the design require－ments of the aircraft nose wheel steering operating system，the friction torque loading in the nose wheel steering system is large，so the rare earth permanent magnet Direct Current（DC）motor with high power density and operating efficiency is selected by the system.

张允和长得美，年轻时的照片曾登上过杂志封面，出版人说她的脸符合黄金比例。她一生都穿中式衣裳，晚年时用黑丝线混着银发丝编成辫子盘在头顶，仍然是个时髦而优雅的老太太。

The turbine worm mechanism module is made up of a running clearance module，a moment of inertia module，a moment sensor module，a turbine worm module，a Coulomb friction module with one end fixed，a coupling module，and one function module.Thus，the entire module is operational.Running clearance module is added to the model and grants better accuracy because clearance exists in practical situations inevitably.

Clutch—The friction type clutch is selected by the system to control its status by control current.Once a fault occurs，the system would isolate the fault channel by controlling its clutch to disconnect.

例题1：，引导学生思考把4个平均分成2份，又从语义的角度分析平均分成2份，就是每人喝的，也即，从算理看，分数除以整数与整数除法最接近，但值得商榷的是教材这样的表达方法不容易让学生理解，直接写4个平均分成2份就是2个，即，比较直观．例题2：引导学生从实物图和语义分析，1个橙子可以分给2个人，4个可以分给8个人，因此．例题3和例题4都是通过直观图让学生得到分数除法的结果以后再引导学生算一算乘除数的倒数，看结果是否相等，逐步引导学生发现除以一个数等于乘它的倒数这个规律．

Damper—To prevent the oscillation phenomenon，the damper is required to provide a damping for the nose wheel steering system.The damper does not work in system steering mode，however，it is activated by the main controller in system anti－shimmy mode.

where r is the correction factor.

The electronic control unit is responsible for position servo control and completing the closed loop of the nose wheel steering system，consisting of the main controller and the motor controller.

The main controller can realize the following three functions mainly：

（1）Be able to receive and process the sensor signals accurately，so as to achieve the servo control of the nose wheel steering system and load limiting of the torque limiter.

Based on the aircraft nose wheel steering system design index，under 24VDC，the maximum steering torque，the maximum steering angle，and the maximum steering speed provided by the nose wheel steering system are set as 1 000N·m，80°and 20°/s，respectively.

（3）Recording the fault information and detection data in fault points synchronously to support the next maintenance work.

根据相关部门的数据信息统计，我国的物业公司每年舞弊和财务操纵要消耗十亿人民币。可是在社会的发展中各个公司的财务结构的复杂性和商业竞争性更加深入，从而也就在很大程度上导致我国的物业公司管理舞弊行为很难被人们发现和处理，最终成为制约社会发展的重要隐患。一般只要有动机才会有行动，那么在物业公司中进行管理舞弊的管理层当局也是在这种动机的诱惑下才进行行动的，根据当前管理舞弊的动机分析主要可以分为三大类［1］。

The motor controller is mainly used for the amplification of control signal and control the steering direction and speed of the motor.The system uses DC pulse width modulation（PWM）converter to control the motor input voltage.

The assumption diagram of the controller is available，as shown in Fig.4.As shown in Fig.4，the main controller adopts similar dual redundancy design，and two channels communicate with each other through the dual port of random－access memory（RAM）and detect faults through cross supervision and self－supervision.In the process of nose wheel steering，the main controller would firstly judge whether the system is in a hand wheel operating mode or a pedal rudder operating mode based on digital signals.Then the main controller would acquire such analog signals as command signal，feedback signal and the aircraft ground speed，and thus conduct data processing by a certain control algorithm with reference to the control rate.Finally，the nose wheel steering servo control would be released.

To prevent the phenomenon of the non－coordination motion between the two worm gear of the system happening in the process of actual aircraft ground maneuver，the nose wheel steering system would feed back the worm gear steering angle in addition to the output torque of the two worm gear to the main controller.Then the difference between the system angle input and the worm gear wheel angle feedback，and the difference between the output torque of the two worm gear would be carried on a certain processing to be the output of the main controller to control the motor through adjusting the relationship between the two differences to ensure the steering process accurate and fluent.Fig.3shows the cross－supervision and self－supervision functions.

1.3.2 药物不良反应发生率 记录患者用药后出现不良反应情况，包括血小板减少、肝功能损害、体质量异常、胃肠不适等。

1.2 Main design parameters of the transmission component

（2）Controlling the auxiliary equipment（such as clutch，damper and so on）.

Fig.3 Design diagram of the controller

Considering the commonly used motor speed，reducer transmission ratio range and worm gear transmission ratio range，refer to the relevant design handbook，the motor model，the transmission ratio of the reducer and worm gear can be obtained，respectively.Then the main transmission components of the nose wheel steering system are designed concretely according to the handbook of mechanical and electric design.Finally，the main parameters of these transmission components are obtained，as shown in Table 1.

Table 1 Main parameters of transmission component

Parameter Value Parameter Value Motor rated power/kW 0.259 Worm gear number of teeth 28 Motor rated torque/（N·m） 0.405 Worm gear module 6.3 Motor rated speed/（r·min－1） 5 990 Worm gear diameter coefficient7.936 Electro mechanic time constant/ ms3.75 Worm gear center distance/mm 115 Reducer drive ratio 74 Worm diameter/mm 50 Worm gear drive ratio 28 Worm wheel diameter/ mm 176.4 Worm gear tooth profile angle/（°） 20 Worm gear end efficiency 0.815 Coefficient of top clearance 0.2 Worm material 40cr Addendum factor 1.0 Worm wheel material ZCuSn6 Pb6Zn3 Number of threads 1 Worm gear efficiency 0.6

1.3 Preliminary design of damper

The schematic of damper is shown in Fig.4.The electromagnetic damper has the inner magnetic type discrete structure.Its stator is composed of the internal stator and outer stator.The rare earth permanent magnet is in the inner stator，and the outer stator is made of the material with good magnetic conductivity.The rotor cup is located between the inner stator and the outer stator.Being induced to rotate by the motor，the metal rotor cup would cut the stator magnetic field，and thereby induce eddy current interacting with the stator magnetic field to produce damping torque.

Fig.4 Schematic of damper

The relationship between the damping torque T and the rotor rotational speed n in the damper is as follows［15］

where B represents the magnetic induction intensity，δthe gap length，l the length of stator，εthe rotor cup thickness，D the rotor diameter，k the ratio ofπ/τ，τthe electrode gap，p the number of pole－pairs，ρthe rotor resistance，L the length of the rotor cup，ωthe angular frequency，andα＝μ0ε/ρδ，β＝k2＋iωα.

The functional relationship between the damping torque and the rotor rotational speed is nonlinear，so the damper with large value of p/D is selected in this system for simplifying the relationship into linear function.The ratio between the torque and speed is the damping coefficient K.

Worm gear—The rated output torque provided by current motor is too small relative to the steering torque of the nose wheel steering system.As a result，larger transmission ratio should be provided by the machine transmission system.So the worm gear with inherent large transmission ratio is selected to be the system actuator.

水稻生产试验采用大区对比法，不设重复。小区宽6米以上，面积不少于200平方米，并设不少于6行的保护区。全区收获脱粒，测含水量，折成14%水分计产，计算增（减）产百分率。

Considering the ground impact load and tire aligning stiffness in the process of aircraft taxiing，landing gear′s moment of inertia and the design requirements of nose wheel steering system，the damping coefficient can be obtained by establishing simulation model to simulate the antishimmy process of the nose wheel under the ground impact load.Finally，parameters of the damper can be obtained accordingly.

1.4 Layout and installation design of the system

Based on the main parameters of the system and the related design handbook，the layout and installation design of the system can be completed.As shown in Figs.5，6，being the diagram of the nose wheel steering system installed on landing gear and the transverse sectional view of the nose wheel steering system.In the nose landing gear of aircraft，the first housing of the nose wheel steering system is fixed in the strut cylinder sleeve through screws.On the left side of the nose wheel steering system，the first motor and the first reducer located within the second housing，the first clutch is fixed in the second housing by screws and connected with the first reducer through the general flat key.Besides，the first motor and the first reducer fixed axially through the second housing.The first housing and second housing are fixed by bolt connection.One end of the first worm gear in first housing is connected with the first clutch through general flat key，and the other end is axially fixed through the first tapered roller bearing and the first end cap.The first cylindrical roller bearing and the first tapered roller bearing are installed on both ends of the first worm gear，respectively.The first cylindrical roller bearing is axially fixed through the shaft shoulder on the first worm and the first circlip for hole.The first tapered roller bearing is axially fixed through the first nut and the shaft shoulder on the first worm.The first end cap is fixedly connected with the first housing through bolts and contacts with the outer ring of the first tapered roller bearing.The installation of the right side nose wheel steering system is the same with the left side′s.

Fig.5 Nose wheel steering system installed on landing gear

Fig.6 Transverse sectional view of the nose wheel steering system

2 Simulation of All－electric Nose Wheel Steering System

2.1 Construction of all－electric nose wheel simulation model

Based on the afore－mentioned nose wheel steering system and the speed governing system of DC motor，the simulation model of all－electric nose wheel steering system has been established by using the AMESim software，as shown in Fig.7.

The motor module of this model is created according to the speed governing system of DC motor，and is encapsulated.The clutch model consists of a piecewise linear function module and a free－rotation Coulomb friction module，which functions as a clutch and a torque limiter.Meanwhile，the clutch also sets a maximum Coulomb friction torque for the motor.

Fig.7 Simulation model of nose wheel steering system

The damper module in this model is comprised of an angular velocity sensor，a coulomb friction module with one end fixed，a coupling module，and a function module.So the damper can become operational.The reducer module of AMESim is suitable for the reducer in this model.The reduction ratio should be chosen as 74.

老年人跌倒发生率高、后果严重，是高龄老年人首位伤害死因，对个人、家庭以及社会都带来巨大的负担［1］。在老年人跌倒的危险因素中，患慢性病是一个很重要的因素，老年人随着年龄的增加，机体功能衰退，应变能力减退，各种慢性病的患病率逐渐增加［2］。防范住院患者跌倒或坠床是医院护理质量管理中的一个重要方面，也是评价医院医疗护理质量的一个重要指标［3］。本研究通过对2012年在我院内科住院老年人进行平衡指数测定，并且通过机器数据语言获取患者跌倒的风险指数及来源，有针对性给予防跌倒宣教，效果满意，现报道如下。

根据企业规模的划分以及调查数据来看，58.33%自我就业者属于个人创业，37.5%主要与家人一起创业，即沙湾特色小镇自我就业者大多是属于自己创业，而这些全家一起做的商家大多为家族店铺，祖辈相传，已经有好几代的历史。根据调查，90后创业者以个体户居多，大部分大学生属于90后，所以沙湾特色小镇也是90后大学生创客可以考虑的创业点。

2.2 Optimization on the model and relevant analysis

In practical Engineering applications，PID parameters are adjusted manually so as to guarantee the dynamic performance of the control system.However，it is usually not the ideal state for the dynamic performance.Currently the performance index，integrated time and absolute error（ITAE），has been widely used to assess the dynamic performance of a system，which equals to time multiplied by absolute value of error and integrated over time.The index ITAE poses both practical and selective in engineering applications.The ITAE module adopted in the simulation system is shown in Fig.8.

Fig.8 ITAE module of the nose wheel steering system

Considering nose wheel steering system in the steering state，where electromagnetic damper is disabled and landing impact load is ignored.Ground load is 1 000N·m fixed damping torque.In the beginning，nose wheel is situated in the middle.After one second，signal the nose wheel to ensure that the wheel rotates at 20°/s in the direction of one side until it reaches its extreme position.Afterwards，the wheel keeps working for a while.Finally，the wheel rotates back to its initial position at the same rate.

For achieving optimized PID parameters，proportionality coefficient，integral coefficient，and differential coefficient are selected as optimizing variables.The ITAE is used as the target function of optimization.By means of non－linear programming by quadratic Lagrangian（NLPQL）algorithm module integrated in the AMESim software，the minimum value of target function becomes accessible.Finally，optimal PID parameters are available：207as the proportionality coefficient，0.002as the integral coefficient and 29.5 as the differential coefficient.Two curves of nose wheel yaw angle over time are concluded by batching and comparing with the manually adjusted results.

Fig.17shows the wire map of control unit，components of the steering system are linked to the DSP control unit respectively.Corresponding components can be manipulated by internal commands from the control system，thus the steering mechanism is able to function properly.

Landing gear steering experiment system consists of two systems：control system and measure system.The control system exerts control over the steering system while the measure system gauges rotate speed of nose gear and motor，as well as feeds all the data back to the control system.Thus it is guaranteed that steering mechanism stays the same working condition in practice.To make it convenient to install and configure the entire landing gear，one end of the mechanism is fixed，while the other end is free for further load simulation as shown in Fig.15.

Fig.9 Manually adjusted curve and optimized curve of yaw angle over time

Fig.10demonstrates curves of optimized nose wheel steering input and output over time.It is evident that output curve lags behind the input curve all along the process.The reason for this situation is that during practical application，rotor′s moment of inertia along with the clearance and friction in the motor lead to a small period of time when the motor reaches its rated speed from state of rest.Afterwards the system input maintains the maximum rotation speed until reaching extreme position，so input signal is not able to keep up with output signal，which is fairly normal.The output curve has the same trend as the input curve，where the lag is no more than 0.5s.This symbolizes a remarkable follow performance that fulfills actual engineering practice.

Fig.10 Input and output curves over time of nose wheel steering system

During the steering process，load simulation system applies consistent load.Load is applied by the mechanism installed on the end of the steering system which generates friction against steering.Therefore，friction maintains an invariant value just as shown in Fig.11.

Fig.11 Simulated load torque

The DC motor′s torque and rotating speed curves over time are shown in Fig.12.It is obvious that it takes 0.5for the motor to accelerate to rated speed 5 990r/min from zero during the steering process，which is why input curve lags behind output curve.Since then motor maintains its speed until nose wheel reaches the yaw angle of 80°，where the steering system，as well as the motor，cease to function.In the process of the nose wheel returning to its initial position，the rotating speed of motor remains the same value as previous but in opposite direction.The working torque of the motor during steering is 0.395N·m，which is similar to rated torque.This guarantees long time of work and exploiting performance better.

Fig.12 DC motor′s torque and rotating speed curves over time

Since the simulation process is relatively ideal，two servo motors share the same status of motion when their parameters are configured identically.Therefore，one parameter is modified manually in order to test the speed configuring module.

Fig.13 Motor rotate speed before configuration

Fig.14 Motor rotate speed after configuration

By comparing Fig.13and Fig.14，the following conclusion is drawn：Before speed configuring module works，two motors differ in speed.While the module is operational，two motors remain almost the same rotate speed.

3 Test Verification

The main objective of nose gear steering mechanism test verification is to analyze the feasibility of entire steering mechanism design and the accuracy of control system.The experiment requires the entire system to simulate the actual steering process，which calls for the whole nose gear entity and its control system.Moreover，the steering test verification system must provide steering angle，rotate speed of motor and commands from control system during steering process for further analysis on the feasibility.

3.1 Basic theory and control system of the experiment

水稻栽培过程中需要经历相对较长的时间，在此期间若管理不当极易出现病害情况，这就需要采用有效的抗病技术避免病害的传播，在此基础上需要保证水稻在生长过程中有足够的养分，并适当的进行农药喷洒与杂草的处理工作，能够在较大程度上预防病害在杂草中繁殖，为水稻的健康生长创造一个良好的环节。

Fig.15 Image of the steering mechanism

（1）Controller

The control system has been integrated to a control box whose user interface can be easily modified and designed.DSP control unit is applied for the experiment，which grants swift process and accurate control.

Fig.16 DSP control unit

DSP control unit integrates assorted sensors for switching anti－shimmy modes，measuring displacements of steering system and load applied on the landing gear，along with modules connecting servo motors.As a result，clutching device，servo motor and sensors have to be connected to the control unit accordingly.

As shown in Fig.9， manually－adjusted curve′s yaw angle overshoot is 2.7%with a small amount of settling time.Thus it meets the requirements of practical engineering.Yet after performing the optimization on PID parameters，overshoot of yaw angle output reaches almost ze－ro，settling time is also reduced by 0.5s.The dynamic performance of the entire system is considerably improved.

Fig.17 Wire map of DSP control unit loop

（2）Control method of servo motor

赫章有三座“天桥”。一座是赫章县平山乡与七星关区放珠镇交界处的大天桥，一座是赫章县平山乡与毕节市杨家湾镇交界处的小天桥，一座是赫章县妈姑镇的天桥村。

对此，欧洲法院在Child and Family Agency案中指出，《布鲁塞尔条例Ⅱa》第15条不方便法院条款的设计是基于儿童利益最大化，移送案件也是基于儿童的最大利益。因此，原审法院不应考虑将案件移送到另一成员国对所涉儿童之外其他人迁徙自由的影响，除非这些因素可能会对儿童的状况产生不利影响②Case C 428/15，27 October 2016，para.62-65.。

There are three methods for servo motor control strategies：Torque control，position control and speed control.Speed control strategy is adopted due to the experiment requirement that speed has to be maintained during test.Analogue parameters can be harnessed to control the rotate speed.Furthermore，speed control strategy is capable of accurate positioning with the outer loop PID control along with upper control device，which reduces error during transmission and adds to the accuracy of positioning for the whole system.

Control strategy for servo motor is displayed as Fig.18.By means of outputting correspondent analogue signals to manipulate rotate speed of motor.Meanwhile，analogue offset and auxiliary input signals to ensure the precision of any command.

Fig.18 Control theory of motor

3.2 Results and analysis of the experiment

Real－time monitoring of rotate speed of servo motor has been performed by sensors during rotation.The rotate speed has been recorded and manipulated by presetting DSP control signals.

Recording of working status of servo motor is conducted by Motion Monitor software as Fig.19presents.Both actual rotate speed and preset speed are accumulated，along with current fluctuation and actual displacement of motor.

Fig.19 Recorded data

Fig.20represents the command of speed and control signal.It is apparent that DSP voltage keeps up with the operation of motor consistently.In the beginning servo motor holds still，when DSP voltage rises，Servo motor′s rotate speed increases proportionally.Motor′s rotate speed follows voltage very well，therefore DSP control unit plays an outstanding role for the experiment.

通过蚂蚁模型信息反馈方式反哺思路于大学生创新创业实践，形成二者的互补效应[9]．蚂蚁巢穴实则是掌握教育资源大方向的教学机构或出色的指导教师，其可以为大学生创新创业提供多元的平台和学习机会；蚂蚁具有的探索、无畏、向前、团结勤奋等优秀品质映射大学生个人及群体；食物源意味着整个社会大环境下的知识或技能“猎场”，营造机遇和挑战的舞台．因此，将这３者进行联结的关键手段——信息素的迹，是能够反复融糅彼此交集并产生概率性讨论事件的前提，是实现一次完整大学生创新创业实践活动的保障．

Fig.20 Command speed and control signal

Fig.21shows a good consistency between command speed and actual speed，which indicates aproper set of parameters.

Fig.21 Command speed and actual rotate speed

In the process of steering，respective measurements are applied to the servo motors as shown in Fig.22.Two motors remain basically the same rotate speed.As a result，it is evident that excess energy dissipation of the system caused by nonsynchronous movement of two worms.

Fig.23shows the displacement curve of steering mechanism.When given proper input signals，the mechanism starts working until reaches the designated angle，where the system ceases to function.Afterwards，steering mechanism returns to its initial position on corresponding command.

Fig.22 Rotate speed of two motors

Fig.23 Rotation displacement of servo motor

4 Conclusions

The design method of all－electric nose wheel steering system is addressed，including the machanical design and control strategy design.Then the simulation method is used to determine the design parameters and the prototype test is used to verify the design reasonableness.

（1）Two DC motors，two worms and one worm wheel are designed to improve the steering torque.Nose wheel steering system under 24V DC can provide 1 000N·m steering torque，80°steer angle and 20°/s steering angular velocity.

（2）The main controller feeds back the worm gear steering angle in addition to the output torque of the two worm gear to make them rotate synchronously.The simulation annlysis is conducted to verify the property.PID parameters are adjusted to improve the steering performance.

（3）The prototypes of the steering mechanism and control system are researched to validate the design and the steering test bench is prepared to test the system working.The test results，such as steer angle，rotation speed of motor are analyzed in details and compared with the theoretical results.The test results indicate that all－electric nose wheel steering system with two worm gears is qualified for an intact steering mechanism.

Acknowledgement

This work was supported partly by the Aeronautical Science Foundation of China（No.20142852025）.

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