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ABSTRACT: This paper presents a multi-dimensional fuzzy interpolation neural network (FINN) which extends fuzzy interpolation that was developed to approximate single input single output functions to multi-dimensional space. The multidimensional fuzzy interpolation piecewise approximates multiple-input-single-output functions with small hyper-surfaces defined over fuzzy regions. The vertices of these fuzzy regions are represented by weighted multivariate fuzzy sets which are defined over the input space of a function. Optimally arranging the fuzzy sets in the input space can achieve arbitrary accurate approximations. The proposed FINN is able to establish the optimisation of the fuzzy sets. It was used to approximate the energy distribution of light for light chip and optical fibre alignment.
Automation and Logistics, 2009. ICAL '09. IEEE International Conference on; 09/2009
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ABSTRACT: In NC machining of noncircular contours with a rotation table, the cutter is fed along a straight line intersecting perpendicularly
the rotation axis of the work piece. In this situation, the cutter path usually consists of a series of Archimedes’ spiral
segments. This paper proposes an optimal interpolation approach of Archimedes’ spiral segments to generate the cutter path
for machining noncircular contours. The number of segments for the cutter path resulted from the approach is the fewest under
the condition that the interpolation accuracy completely satisfies the specified limit value. It has been also evidenced that
the profile error of the machined contours corresponding to the cutter path is perfectly controlled within the specified interpolation
accuracy limit. The effectiveness of the proposed approach has been sufficiently confirmed by applying it to machining a disc
cam and an algebraic spiral type of scroll wrap.
International Journal of Advanced Manufacturing Technology 01/2008; 36(1):69-82. · 1.10 Impact Factor
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ABSTRACT: This paper proposes a practical approach to estimating the corner errors in contour cutting with a machining center. In this approach, only a few simple and easy trajectory measurements to linear feed motion of machining center are required and then the value of each necessary parameter is decided through a simple operation to the measured data. The comparison results of the estimated corner errors with the measured ones sufficiently demonstrate the effectiveness of the proposed approach.
Mechatronics and Automation, 2007. ICMA 2007. International Conference on; 09/2007
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ABSTRACT: This paper proposes a universal optimal approach to cam curve design. The approach consists of four issues that include a cam curve description using uniform B-splines, an objective function in a universal weighting form to integrate the design requirements, an automatic adjusting technique for weighting coefficient values and an improved Complex Search Algorithm to optimize the control points of B-splines. With the approach, it is possible to deal simultaneously with multiple objectives for either kinematical or dynamic optimization. Application examples on the kinematical and dynamical optimization of cam curves are presented together with detailed discussions. These examples, especial the dynamic optimization to control the residual vibration for a cam curve used in an indexing cam mechanism, sufficiently illustrate the effectiveness of the proposed approach.
Mechanism and Machine Theory.
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ABSTRACT: This research aims at developing a measurement technique on machining centers for 3D free-form contours. An autonomous measuring principle is proposed and a prototype measuring device applicable to a machining center has been produced. In the measuring device, a laser displacement detector in a narrow range, which directly detects the distance from a point on the measured surface to the reference position of the detector output, is put together with the movable part of a linear encoder on the nut of a ball screw. A stepping motor controls the laser detector position to keep the output at the central value of the detector measuring range by driving the ball screw. Both the motor and the fixed part of the linear encoder are placed on the device base. The linear encoder detects the moving displacement of the screw nut, i.e. the position change of the laser detector. By installing the base on the spindle of a machining center and moving the table along a plane perpendicular to the spindle, the laser detector can automatically follow the contour of a work piece set on the table and measure its form along a scanning line, simultaneously. The displacement of a measured point relative to the reference position of the linear encoder output on the spindle side is just equal to the sum of the outputs of the two sensors, i.e. the laser detector and the linear encoder. Moreover, a simple experimental approach to identifying the sensing direction errors for an assembled measuring device is developed. The results of some experiments are also shown, which sufficiently demonstrate the effectiveness of the proposed inspection method and error identification approach.
International Journal of Machine Tools and Manufacture.
