In order to apply the LM device previously developed to precisely measuring small motion trajectories located on the different motion planes, three major improvements are successfully performed under the condition of completely maintaining the advantages of the device. These improvements include 1) development of a novel connection mechanism to smoothly attach the device to the spindle of a machining centre; 2) employment of a new data sampling method to achieve a high sampling frequency independent of the operating system of the control computer; and 3) proposal of a set-up method to conveniently install the device on the test machining centre with respect to different motion planes. Practical measurement experiment results with the improved device on a machining centre sufficiently demonstrate the effectiveness of the improvements and confirm several features including a very good response to small displacement close to the resolution of the device, high precision, repeatability and reliance. Moreover, based on the measurement results for a number of trajectories for a wide range of motion conditions, the error characteristics of small size motions are systematically discussed and the effect of the movement size and feed rate on the motion accuracy is verified for the machining centre tested.
In recent years, with the advances of CNC machining technologies, especially in die manufacturing, more and more attention has been attracted from researchers and engineers on how to precisely detect and correctly evaluate the motion accuracy of Machining Centres (MCs) within a small area [1-10]. Several specific measuring devices have been developed for this purpose. For example, Kwon and Burdekin [1,2] developed a measuring device, which consists of a precision cube and two displacement sensors, to detect and evaluate the motion trajectories of both circular and linear interpolation motion within a small range for a MC. Kakino et al. [
The authors have successfully developed a device called the LM device, with a basic structure consisting of a double-bar linkage mechanism and two laser rotary encoders, for measuring motion accuracy of a MC with a vertical spindle previously [15,16]. The device is applicable to measuring the trajectory of a general planar motion located on a plane perpendicular to the MC spindle. The device has a simple and compact structure and yet provides a large working range with a high resolution. The cost to produce the device is fairly low. Both the installation process on the MC and the measurement operation are simple and convenient in practical applications. The LM device is able to measure small size motion trajectories of the MC; however, based on the mechanical structure feature and data acquisition method, some limitations in measuring performance exist to trajectories in a small area, especially when the motion is fed at a high speed.
This paper presents further developments and improvements for applying the LM device to precisely measuring small size motion trajectories located on different planes. Moreover, as a practical application of the device, a case study, in which the accuracy of a small size motion is detected and evaluated for the MC texted, has been performed. Section 2 describes the improvements performed, including an original connection mechanism, a new data sampling method and a set-up method to install the device on the MC with respect to different motion planes. Section 3 presents and discusses in detail the experiment results with the improved device for the measurement of small size circular and linear interpolation motion trajectories which are located on the X-Y, Y-Z and X-Z planes of the MC respectively. The experiment results sufficiently demonstrate the effectiveness of the improvements. At the same time, based on the measurement results for a number of motion trajectories performed under a wide range of motion conditions, the error characteristics and related causes are verified for the small size motion with the MC. Section 4 draws conclusions on the work presented.
Before starting the measurement, a measuring coordinate frame can be set up through a simple operation [
where L1 and L2 are the link lengths, which is 100 mm in the LM device, and q1 is the rotation angle of Link 1 relative to the positive direction of the X axis and q2 is the rotation angle of Link 2 relative to Link 1. The resolution for both q1 and q2 is 1 second due to the used laser rotary encoders, Canon K-1, and interpolators, Canon IU-16. The entire working range of the LM device is located on the X-Y plane and has a disc shape around the origin O whose inner radius is 10 mm and outer radius is 190 mm. The LM device has the position resolution of less than 0.5 mm at the radial direction and less than 1 mm at the argument direction for any measured point within the working range [
In order to precisely measure the motion trajectory in a small area with a high feed rate, three major improvements have been performed on the previous device. One is to develop a novel connection mechanism attaching the tip of Link 2 to the MC spindle. The other is to employ a new data acquisition method. The third is to design a simple set-up jig that enables the device to measure trajectories located on different motion planes.
In the previous device, a conventional coupler was used to connect the tip of Link 2 and the MC spindle to be measured. Some potential errors such as the flatness error on the table surface of the MC or the assembly errors of the device itself may lead to the movement of the tip of Link 2 along the Z direction in the measurement. Such movement is forcedly absorbed by the coupler and hardly affects the measuring results for a trajectory in a large size motion or in a small size motion but with a low feed rate. However, the movement may have some negative effect on the rotation of links and result in undesired errors in the measuring results for a small size motion with a high feed rate.
In order to solve this problem, a novel connection mechanism as shown in
is considerably larger than the friction in the stroke bearing, no relative sliding happens between the steel ball and the supporting balls in the measurement. By applying the mechanism, not only a very small relative displacement between the device and the spindle can be smoothly achieved but also the influence of the movement of Link 2 tip along the Z direction can be naturally absorbed. Furthermore, the set-up operation of the improved device on the MC becomes simpler and easier than the previous device.
The software of the previous device was constructed on the MS-DOS platform. The sampling command was sent one by one from a personal computer to the counter board at each sampling time. With this method, it is very difficult to ensure a sampling period in the ms order under the WINDOWS environment. As an effective solution to this problem, a high-speed counter board, Contec CNT32-8M (PCI), is employed in the improved device. Through the utilization of a sampling function based on the board’s clock, a sampling period of 50 ms, which is independent of the operating system of the personal computer, is achieved.
As explained above, the LM device was developed for measuring the motion trajectory on a parallel plane to the standard surface of the device, i.e. the table surface of the MC to be tested. To detect trajectories on other motion planes, for example, a vertical plane for a MC with vertical spindle, a suitable standard to set-up the device on the MC is necessary. For this purpose, a simple jig is designed, as shown in
bottom face. The rectangular part is placed on the upper face of the block to provide a standard surface to set the device. Thus, once the device is fixed on the setting plane of the rectangular part, the rotation planes of Link 1 and Link 2, and then the motion plane, where a trajectory to be measured is located on, are restricted to be parallel to the setting plane. Moreover, in order to prevent the collision between the device and spindle in the measurement, the connection mechanism is attached to the spindle through an inclined bar fixed on the spindle.
It should be noticed that strict parallelism accuracy between the setting plane and motion plane is not required because of the feature of the connection mechanism, i.e. if a small parallelism error exists, the effect is smoothly absorbed by the mechanism. From the results of the measurement experiments, it has been verified with the improved device that limiting the parallelism precision within 50 mm/100 mm is sufficient to ensure the measuring accuracy of motion trajectory in practical applications.
In addition, if a part available to freely adjust the angle of the setting plane is built in the jig instead of the rectangular part, the motion trajectory on a general plane can be readily measured by the LM device. In such situation, based on the same reason presented above, a strict setting accuracy for the setting plane relative to the motion plane is not required.
In order to verify the effectiveness of the improvements, measurements of small size motion trajectories are performed on the MC with the improved LM device under a wide range of motion conditions. Furthermore, in order to examine the reliability of the measured results, following the ISO standard, ISO 230-1:1996 [
A vertical-spindle MC with a control system of semiclosed loop, Wasino WMC-4, is tested. The movable range of the MC is 900 mm in the X direction, 450 mm in the Y direction and 510 mm in the Z direction, respectively. The NC system is FANUC Series 0-MC, the number of simultaneously controllable axis is 2.5 and the minimum input increment is 1 mm. The basic structure of the MC consists of a Z axis column and a XY table with a hydraulic slideway, where the X table is ridden on the Y table. The maximum feed rate of cutting is 5000 mm/min. In the experiments, the origin of the measuring coordinate frame is set at the central position of the movable range of the MC.
The experiment conditions are presented in