外文翻译---机床主轴单元

外文翻译---机床主轴单元
外文翻译---机床主轴单元

附录A 英文原文

Machine tool spindle units

A.1 Introduction

Machine tool spindles basically fulfill two tasks:

rotate the tools (drilling, milling and grinding) or work piece (turning) precisely in space transmit the required energy to the cutting zone for metal removal

Obviously spindles have a strong influence on metal removal rates and quality of the machined parts. This paper reviews the current state.and presents research challenges of spindle technology.

A.1.1.Historical review

Classically, main spindles were driven by belts or gears and the rotational speeds could only be varied by changing either the transmission ratio or the number of driven poles by electrical switches.

Later simple electrical or hydraulic controllers were developed and the rotational speed of the spindle could be changed by means of infinitely adjustable rotating transformers (Ward Leonard system of motor control).The need for increased productivity led to higher speed machining requirements which led to the development of new bearings, power electronics and inverter systems. The progress in the field of the power electronics (static frequency converter) led to the development of compact drives with low-cost maintenance using high frequency three-phase asynchronous motors.Through the early 1980’s high spindle speeds were achievable only by using active magnetic bearings. Continuous developments in bearings, lubrication, the rolling element materials and drive systems (motors and converters) have allowed the construction of direct drive motor spindles which currently fulfill a wide range of requirements.

A.1.2. Principal setup

Today, the overwhelming majority of machine tools are equipped with motorized spindles. Unlike externally driven spindles, the motorized spindles do not require mechanical transmission elements like gears and couplings.

The spindles have at least two sets of mainly ball bearing systems. The bearing system is the component with the greatest influence on the lifetime of a spindle. Most commonly the motor is arranged between the two bearing systems.

Due to high ratio of ‘power to volume’ active cooling is often required, which is generally implemented through water based cooling. The coolant flows through a cooling sleeve around the stator of the motor and often the outer bearing rings.

Seals at the tool end of the spindle prevent the intrusion of chips and cutting fluid. Often this is done with purge air and a labyrinth seal.

A standardized tool interface such as HSK and SK is placed at the spindles front end. A clamping system is used for fast automatictool changes. Ideally, an unclamping unit (drawbar) which can also monitor the clamping force is needed for reliable machining. If cutting fluid has to be transmitted through the tool to the cutter, adequate channels and a rotary union become required features of the clamping system.

Today, nearly every spindle is equipped with sensors for monitoring the motor temperature (thermistors or thermocouples) and the position of the clamping system. Additional sensors for

monitoring the bearings, the drive and the process stability can be attached, but are not common in many industrial applications.

A.1.3. State of the art

Spindles with high power and high speeds are mainly developed for the machining of large aluminum frames in the aerospace industry. Spindles with extremely high speeds and low power are used in electronics industry for drilling printed circuit boards (PCB).

A.1.4. Actual development areas in industry

Current developments in motor spindle industrial application focus on motor technology, improving total cost of ownership(TCO) and condition monitoring for predictive maintenance Another central issue is the development of drive systems which neutralize the existing constraints of power and output frequency while reducing the heating of the spindle shaft.

Particular attention was paid to the increase of the reliable reachable rotational speeds in the past. However, the focus has changed towards higher torque at speeds up to 15,000 rpm. Because of Increased requirements in reliability, life-cycle and predictable maintenance the ‘condition monitoring’ systems in motor spin dles have become more important. Periodic and/or continuous observation of the spindle status parameters is allowing detection of wear, overheating and imminent failures.

Understanding the life cycle cost (LCC) of the spindles has steadily gained importance in predicting their service period with maintenance, failure and operational costs.

2. Fields of application and specific demands

Spindles are developed and manufactured for a wide range of machine tool applications with a common goal of maximizing the metal removal rates and part machining accuracy.

The work materials range from easy to machine materials like aluminum at high speeds with high power spindles, to nickel and titanium alloys which require spindles having high torque and stiffness at low speeds. Cutting work materials with abrasive carbon or fiber-reinforced plastics (FRP) content need good seals at the spindle front end.

Spindles for drilling printed circuit boards operate in the angular speed range of 100,000 to 300,000 rpm. The increase in productivity and speed in this application field over the last few years was possible with the development of precision air bearings.

Spindles used in die and mould machining have to fulfill the roughing operations (high performance cutting, HPC) at high feed rates as well as the finishing processes (high-speed cutting, HSC) at high cutting speeds. Depending on the strategy and the machinery of the mould and die shop either two different machine tools equipped with two different spindles are used or one machine is equipped with a spindle changing unit. Another possibility is to use a spindle which can fulfill both, HSC and HPC conditions, but this still remains a compromise regarding overall productivity.

Aerospace spindles are defined by high power as well as high rotational speeds. Today’s spindles allow a material removal rate(MRR) of more than 10 l of aluminum per minute.

Grinding is a finishing operation where high accuracy is necessary, which requires stiff spindles with bearings having minimum runout. The present internal cylindrical grinding spindles have a runout requirement of less than 1 mm.

Spindle units which are used mainly for boring and drilling operations require high axial stiffness, which is achieved by using angular contact bearings with high contact angles. On the contrary, high-speed milling operations use spindles with bearings having small contact angles in

order to reduce the dependency of radial stiffness on the centrifugal forces.

Contemporary machining centers tend to have multi functions where milling, drilling, grinding and sometimes honing operations can be realized on the same work piece. The bottleneck for the enhancement of the multi-technology machines is still the spindle, which cannot satisfy all the machining operations with the same degree of performance. Reconfigurable and modular machine tools require interchangeable spindles with standardized mechanical, hydraulic, pneumatic and electrical interfaces.

A.3. Spindle analysis

The aim of modeling and analysis of spindle units is to simulate the performance of the spindle and optimize its dimensions during the design stage in order to achieve maximum dynamic stiffness and increased material removal rate with minimal dimensions and power consumption. The mechanical part of the spindle assembly consists of hollow spindle shaft mounted to a housing with bearings. Angular contact ball bearings are most commonly used in high-speed spindles due to their low-friction properties and ability to withstand external loads in both axial and radial directions. The spindle shaft is modeled by beam, brick or pipe elements in finite element environment. The bearing stiffness is modeled as a function of ball bearing contact angle, preload caused by the external load or thermal expansion of the spindle during operation. The equation of motion is derived in matrix form by including gyroscopic and centrifugal effects, and solved to obtain natural frequencies, vibration mode shapes and frequency response function at the tool attached to the spindle. If the bearing stiffness is dependent on the speed, or if the spindle needs to be simulated under cutting loads, the numerical methods are used to predict the vibrations along the spindle axis as well as contact loads on the bearings.

Spindle simulation models allow for the optimization of spindle design parameters either to achieve maximum dynamic stiffness at all speeds for general operation, or to reach maximum axial depth of cut at the specified speed with a designated cutter for a specificmachining application. The objective of cutting maximum material at the desired speed without damaging the bearings and spindle is the main goal of spindle design while maintaining all other quality and performance metrics, e.g. accuracy and reliability.

doe s not always lead to accurate identification of the spindle’s dynamic parameters;

A.3.2. Theoretical modeling

Theoretical models are based on physical laws, and used to predict and improve the performance of spindles during the design stage. The models provide mathematical relation between the inputs F (force, speed) and the outputs q (deflections, bearing loads, and temperature). The mathematical models can be expressed in state space forms or by a set of ordinary differential equations. In both cases linear or nonlinear behavior of the spindles can be modeled.

A.3.2.1. Mechanical modeling of shaft and housing

Finite element (FE) methods are most commonly used to model structural mechanics and dynamics of the spindles. The method is based on discretization of the structure at finite element locations by partial derivative differential equations. The analysis belongs to the class of rotor-dynamic studies where the axis-symmetric shaft is usually modeled by beam elements, which lead to construction of mass (Me) and stiffness (Ke) matrices.

Timoshenko beam element is most commonly used because it considers the bending, rotary inertia and shear effects, hence leads to improved prediction of natural frequencies and mode shapes of the spindle .The element PIPE16 of the commonly known FEA software ANSYS is also

an implementation of the Timoshenko theory and use the mass matrix and stiffness matrix As an example in the finite element model in Fig. 1, the black dots represent nodes, and each node has three Cartesian translational displacements and two rotations . The pulley is modeled as a rigid disk, the bearing spacer as a bar element, and the nut and sleeve as a lumped mass. The spindle in this case has two front bearings in tandem and three bearings in tandem at the rear. The five bearings are in overall back-to-back configuration. The tool is assumed to be rigidly connected to the tool holder which is fixed to the spindle shaft rigidly or through springs with stiffness in both directions translation and rotation. The flexibility of the spindle mounting has to be reflected in the model of the spindle-machine system. Springs are also used between the spindle housing and spindle head, whose stiffness is obtained from experience.

Fig. 1. The finite element model of the spindle-bearing-machine-tool system

附录 B 中文翻译

机床主轴单元

B.1.介绍

机床主轴基本上完成两个任务:

在空间精确的旋转刀具(钻削,铣削,磨削)或工件(车削)。

把所需要的能量传递到切削区

很显然主轴对切削效率和机加工件的质量有很大影响,这篇文章评论了目前的状态和介绍了主轴技术的研究挑战。

B.2历史回顾

典型地,主轴是被皮带或齿轮驱动的,转速只能通过改变传动比或通过电器开关改变驱动级的数量来改变。

之后,简单的电气或液压控制器开始发展,主轴旋转速度通过无级调速方式来改变,要提高生产力就需要更高的速度,加工技术要求发展新型轴承,电力电子与逆变器系统。在致力于发展紧凑的电力电子(静止变频器)领域的进步

导致在使用高频三相异步电动机上的低成本维护,对于早在80年代的主轴,高转速只能利用磁力轴承来实现,在轴承,润滑,滚动材料和驱动系统(马达和转换器)领域的持续发展已经允许建造直接驱动电机主轴来满足目前各种需求如今,绝大多数机床都装配了点主轴。不同于外部驱动主轴,电主轴不需要像齿轮和接头一样的机械传动单元。

主轴至少有两套主要的球轴承系统。轴承系统是对主轴的寿命影响最大的组成部件。最常见的电机是安装在两个轴承系统之间。

而冷却主要是通过水冷。冷却剂流过电机定子周围的冷却套而还经常流过轴承外圈。

主轴末端的密封件防止碎屑及切削液的侵入,通常这些是做了空气净化的。

一个标准的工具接口例如HSK和SK是被放置在主轴前端的。一个夹紧系统是用于快速automatictool变化。理想情况下,一个可以控制夹紧力的未夹紧单元需要可靠的加工。如果切削液一定要通过刀具流到切削上,那么对应的轨道和旋转机构就要求具有夹紧系统的特点。

今天,几乎每个主轴都装配有用于监视电机温度(热敏电阻或热电偶)的传感器和定位夹紧系统。用于监测轴承的附加传感器,可以监测驱动过程的稳定性,但在许多工业领域却不太普遍。

B.1.3当前发展状况

大功率、高转速电主轴是为了加工用于航空、航天工业的大型铝制框架而发展起来的。高转速、低功率的电主轴用于电子工业为印刷电子版钻孔(PCB)

B.1.4工业方面的实际开发领域

当前电主轴的发展主要集中在电动机的技术,降低用于预防性维护监测的成本。另一个核心问题是为了减少主轴上的热量发展用于抵消存在的约束力和输出频率的驱动系统。

过去注意力主要放在增加可靠的旋转速度。如今,如今的关注点已经改变,朝着具有高转速(15000r/min)的同时还要有很高的转矩。由于在可靠性,产品生命周期和可预测维护方面需求的增加,电机主轴的状态监测系统变得越来越重

要。对主轴各状态参数的定期和或连续观测能够检测磨损、过热和即将发生的故障。

了解主轴的产品寿命周期费用对预测服务期间内的维护、故障和运行成本有很大帮助。

B.2.应用领域和具体需求

主轴被研制和制造的主要目的是实现金属切削效率和加工精度的最大化。

工件材料可以分门别类,包括简单的,例如像铝,要用具有高转速和大功率的主轴,还包括难加工的,例如镍钛合金,要求主轴除了具有较低的转速,还要具有较大的转矩和刚度。切削具有磨料碳或碳纤维塑料的工件材料要求主轴前端具有良好的密封性。

给电路板钻孔的主轴转速要控制在100 000到300 000转/每分钟。随着空气轴承的精度的不断提高,电机主轴应用领域的生产力和转速也在不断提高。

用于模具加工的主轴必须以很高的进给率完成粗轧机组操作(高性能切割、HSC)、以很高的切削速度完成切削过程(高切削速度,HSC).依据磨具和压铸车间的实施策略和机械装置,可以是两个机床配备两个不同的主轴或一个机床配备一个主轴切换单元。另一种情况就是用一个主轴来同时完成高速切削和高性能切割,但生产力仍然保持合理的水平。

航空航天用的主轴要求具有大功率和高转速。如今的主轴要求材料切除率达到每分钟切除铝材料101个单位。

磨削是一个要求高精度的操作过程,需要轴承具有很小的摆动的刚性轴。目前的内部磨床主轴要求轴承摆动不超过1毫米。

主要用于钻孔的主轴单元要求具有很高的轴向刚度,这需要使用具有高接触角的角接触球轴承来实现。相反,高速铣削操作要使用有小接触角的轴承用以减少由于离心力引起的径向刚度变化。

现代加工中心往往具有多种功能如铣、钻、磨,有时珩磨操作可以在相同的工件上实现。提高机床先进性的瓶颈仍然是机床主轴,因为他不能在相同精度的条件下满足所有的操作。可重构和模块化的机床需要有规范化的机械、液压、气动、电气接口的可互换的主轴。

B.3.主轴分析

主轴单元的模型和分析的目标是为了实现最大的动态刚度,以最小的尺寸和功率增加材料去除率,在设计阶段模拟主轴的性能和优化它的尺寸。主轴装配的机械部件是由安装有轴承的空心主轴组成。角接触球轴承广泛用于高速主轴,由于其低摩擦性能和可以同时承受径向和轴向载荷的能力。主轴可以在有限元环境下用梁、块、或管道单元来模拟。轴承刚度可以用一个球轴承接触角的函数、在操作期间由主轴的外部负载或热膨胀所引起的预紧力来模拟。运动方程以矩阵的形式导出,包括陀螺和离心效应,还有得到了附在主轴上的工具的固有频率、振型的形状和频率响应函数。如果轴承刚度与速度有关,或如果主轴在切削载荷下模拟,数值方法用于预测沿主轴轴振动荷载和轴承上的接触载荷。

主轴仿真模型考虑了主轴设计参数的优化,目的是为了使主轴在全速运行时达到最大的动刚度,用一把指定的专用刀具用指定的速度实现最大轴向切削深度。在不损坏轴承和主轴的前提下以指定的速度,主轴设计的主要目标是实现切除材料的最大化,同时还要保证各项其他指标如精度和可靠性。

B.3.1实验模拟

一个现有的电主轴的动态行为是通过测量它的力和位移之间的频率响应函数得到的。在机械加工过程中,主轴结构会引起振动,可测量的频率响应函数可以用曲线来拟合,可用于预测固有频率、阻尼比和刚度值。频率响应函数的实验测量对于在加工工艺设计阶段评估动态刚度和确定切削颤振条件是实用的。然而,以下困难需要考虑在内:

(1)只需要测量旋转轴的一小部分就可行了,因此模拟整个主轴是不可能的;

(2)运算速度和温度主要影响特征值,但当主轴旋转时频率响应函数的测量是相当困难的;

(3)运用从测量的输入和输出数据中提取的参数进行曲线拟合或其他方法并不总是得到主轴动态参数的精确分析;

B.3.2理论模型

理论模型是基于物理定律,在设计阶段用来预测和改善主轴的性能。模型提供输入F(力,速度)和输出q(挠度,轴承载荷,和温度)之间的数学关系。数学模型可以用状态空间形式或通过一系列的微分方程来表达,在这两种方案中主轴的线性或非线性行为都可以被精确的模拟。

B.3.2.1轴和外壳的力学建模

有限元方法普遍适用于主轴的结构力学和动态模型。该方法是通过偏导数微分方程组在有限元区域基于结构的离散化。该分析属于转子动态研究的类型,具有对称性的轴通常用梁单元来模拟,可以得到质量和刚度矩阵。

Timoshenko梁单元最为常用,因为它考虑了弯曲、转动惯量和剪切的影响,因此对主轴的固有频率和模态形状的预测有很大帮助。普遍都知道的有限元分析软件ANSYS中PIPE16单元也是使用了Timoshenko理论与质量和刚度矩阵。

如图1中的有限元模型的一个实例,黑点代表节点,每个节点以笛卡尔坐标系参考都有三个平动自由度和两个旋转自由度。滑轮被视为刚性圆盘,轴承隔套作为杆单元,螺母和套筒作为集中质量,在这个方案中主轴前段有两个串联的轴承,主轴后端有三个串联的轴承。五个轴承总体上是背靠背安装的。主轴轴轴头之间使用了弹簧,它的刚度由实验获得。

图B1 机床—主轴—轴承系统的有限元模型

B.3.3角接触球轴承的建模

角接触球轴承(图11)普遍应用于高速主轴。为了保持径向和轴向的旋转精度和足够的刚度以满足基本的操作要求,轴承需要预紧来防止打滑。基本上,有两种类型的轴承预紧力:刚性预紧和恒预紧。

图B2 主轴的草图模型

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Int J Adv Manuf Technol (2006) 29: 178–183 DOI 10.1007/s00170-004-2493-9
ORIGINAL ARTICLE
Ferda C. C ? etinkaya
Unit sized transfer batch scheduling in an automated two-machine ?ow-line cell with one transport agent
Received: 26 July 2004 / Accepted: 22 November 2004 / Published online: 16 November 2005 ? Springer-Verlag London Limited 2005 Abstract The process of splitting a job lot comprised of several identical units into transfer batches (some portion of the lot), and permitting the transfer of processed transfer batches to downstream machines, allows the operations of a job lot to be overlapped. The essence of this idea is to increase the movement of work in the manufacturing environment. In this paper, the scheduling of multiple job lots with unit sized transfer batches is studied for a two-machine ?ow-line cell in which a single transport agent picks a completed unit from the ?rst machine, delivers it to the second machine, and returns to the ?rst machine. A completed unit on the ?rst machine blocks the machine if the transport agent is in transit. We examine this problem for both unit dependent and independent setups on each machine, and propose an optimal solution procedure similar to Johnson’s rule for solving the basic two-machine ?owshop scheduling problem. Keywords Automated guided vehicle · Lot streaming · Scheduling · Sequencing · Transfer batches entire lot to ?nish its processing on the current machine, while downstream machines may be idle. It should be obvious that processing the entire lot as a single object can lead to large workin-process inventories between the machines, and to an increase in the maximum completion time (makespan), which is the total elapsed time to complete the processing of all job lots. However, the splitting of an entire lot into transfer batches to be moved to downstream machines permits the overlapping of different operations on the same product while work proceeds, to complete the lot on the upstream machine. There are many ways to split a lot: transfer batches may be equal or unequal, with the number of splits ranging from one to the number of units in the job lot. For instance, consider a job lot consisting of 100 identical items to be processed in a three-stage manufacturing environment in which the ?ow of its operations is unidirectional from stage 1 through stage 3. Assume that the unit processing time at stages 1, 2, and 3 are 1, 3, 2 min, respectively. If we do not allow transfer batches, the throughput time is (100)(1+3+2) = 600 min (see Fig. 1a). However, if we create two equal sized transfer batches through all stages, the throughput time decreases to 450 min, a reduction of 25% (see Fig. 1b). It is clear that the throughput time decreases as the number of transfer batches increases. Flowshop problems have been studied extensively and reported in the literature without explicitly considering transfer batches. Johnson [1], in his pioneering work, proposed a polynomial time algorithm for determining the optimal makespan when several jobs are processed on a two-machine (two-stage) ?owshop with unlimited buffer. With three or more machines, the problem has been proven to be NP-hard (Garey et al. [2]). Besides the extension of this problem to the m -stage ?owshop problem, optimal solutions to some variations of the basic two-stage problem have been suggested. Mitten [3] considered arbitrary time lags, and optimal scheduling with setup times separated from processing was developed by Yoshida and Hitomi [4]. Separation of the setup, processing and removal times for each job on each machine was considered by Sule and Huang [5]. On the other hand, ?owshop scheduling problems with transfer batches have been examined by various researchers. Vickson
1 Introduction
Most classical shop scheduling models disregard the fact that products are often produced in lots, each lot (process batch) consisting of identical parts (items) to be produced. The size of a job lot (i.e., the number of items it consists of) typically ranges from a few items to several hundred. In any case, job lots are assumed to be indivisible single entities, although an entire job lot consists of many identical items. That is, partial transfer of completed items in a lot between machines on the processing routing of the job lot is impossible. But it is quite unreasonable to wait for the
F.C. ?etinkaya (u) Department of Industrial Engineering, Eastern Mediterranean University, Gazimagusa-T.R.N.C., Mersin Turkey E-mail: ferda.cetinkaya@https://www.360docs.net/doc/8a17313034.html,.tr Tel.: +90-392-6301052 Fax: +90-392-3654029

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