Alexandar Djordjevich

Current-sensor-based feed cutting force intelligent estimation and tool wear condition monitoring

Tool wear condition monitoring has the potential to play a critical role in ensuring the dimensional accuracy of the workpiece and prevention of damage to cutting equipment. It could also help in automating cutting processes. In this paper, the feed cutting force estimated with the aid of an inexpensive current sensor installed on the AC servomotor of a computerized numerical control tuning center is used to monitor tool wear condition. To achieve this, the feed drive system is modeled, using neuro-fuzzy techniques, to provide the framework for estimating the feed cutting force based on the feed motor current measured. Functional dependence of the feed cutting force on tool wear and cutting parameters are then expressed in the form of a difference equation relating variation in the feed cutting force to tool wear rate. The computerized system automatically compares successive feed cutting force estimates and determines the onset of accelerated tool wear in order to issue a request for tool replacement. Experimental results show that the tool wear condition monitoring is effective and industrially applicable.

Numerical solution of the power flow equation in step-index plastic optical fibers

The numerical solution of the complete power flow equation is reported and employed to investigate the state of mode coupling along a step-index plastic optical fiber. This solution is based on the explicit finite-difference method and, in contrast to earlier solutions, does not neglect absorption and scattering loss. It is the only solution that can accommodate any input condition throughout the entire range of feasible input angles without the need for restriction to those angles that are sufficiently far away from critical. Our results for the field patterns at different locations along one type of fiber are in agreement with reported measurements earlier. Furthermore, the length of fiber required for achieving a steady-state mode distribution matches the analytical solution that is available for such distribution as a special case. Mode coupling in plastic fibers is known to affect fiber-optic power delivery, data transmission, and sensing systems.

Influence of numerical aperture on mode coupling in step-index plastic optical fibers

Using the power-flow equation, we have examined the state of mode coupling in step-index plastic optical fibers with different numerical apertures. Our results confirm that the coupling rates vary with the coupling coefficient of the fibers as the dominant parameter, especially in the early stage of coupling near the input fiber end. However, we show that the fibers numerical aperture has a significant influence on later stages of this process. Consequently, equilibrium mode distribution and steady-state distribution are achieved at overall fiber lengths that depend on both of these factors. As one of our examples demonstrates, it is possible for the coupling length of a high-aperture fiber to be similar to that of a low-aperture fiber despite the three-times-larger coupling coefficient of the former.

Optical power flow in plastic-clad silica fibers

Using the time-independent power-flow equation, we have examined the mode coupling caused by intrinsic perturbation effects of step-index plastic clad silica fiber carrying more than 10(5) modes. Result show that the equilibrium mode distribution for this fiber is achieved at a length of approximate 550 m, which is longer than reported previously. While this coupling length is much longer than that of plastic optical fibers, it is sorter than that of all-glass fibers.

Method for calculating the coupling coefficient in step-index optical fibers

A simple method is proposed for determining the mode coupling coefficient D in step-index multimode optical fibers. It only requires observation of the far-field output pattern for one fiber length with the input light launched centrally along the fiber axis (theta(0)=0). For illustration, the coupling coefficient determined by this simple method for a step-index plastic optical fiber was used to calculate the coupling length L(c) at which the equilibrium mode distribution is achieved, and length z(s) at which the steady-state distribution is achieved. Our results are in good agreement with experimental results reported earlier.

Thin structure deflection measurement

Deflection curvature is easily observed during bending of thin structures. There are, however, few practical means available for measuring it. As a consequence, curvature measurements are extremely rare. Strain is usually the preferred measurand of choice. This preference is disadvantageous in the case of thin structures because strain can then be so small that very high resolution sensors are required despite the apparently large deflection curvature. A method of measuring such curvature is presented in this paper. Its conceptual advantages over strain measurement include: (1) position-invariant readings throughout the structural section; (2) sameness of the true and apparent measurands irrespective of the microstructural effects introduced by the sensor; (3) higher sensitivity in the case of thin structures.

Mode coupling in strained and unstrained step-index glass optical fibers

By using the power flow equation, we have examined the state of mode coupling in strained and unstrained step-index glass optical fibers. Strained fibers show stronger mode coupling than their unstrained counterparts of the same type. As a result, the coupling length where equilibrium mode distribution is achieved and the length of fiber required for achieving the steady-state mode distribution are shorter for strained than for unstrained fibers.

Study on laser stripe sensor

Abstract In this paper, one kind of active structured light sensor—laser stripe sensor—is studied. The effects of the structure parameters on measuring accuracy of sensor are analyzed in detail. The mathematical model of the sensor is established based on the perspective projection and the matrix transformation theory. A practical method of calibrating sensor is proposed. Experimental results show that the laser stripe sensor can achieve an accuracy better than 0.05 mm.

Analytical Optimization of Optical Fiber Curvature Gauges

`The ldquocurvature gaugerdquo sensor monitors deflection of structures under mechanical loading in applications in which strain gauges have traditionally been used. Structural deflection-curvature is measured rather than material strain. The sensitive zone of the curvature gage is precision machined into the plastic optical fiber on grinding or milling machines. The cutout produced removes a part of the fiber core and introduces light loss that is related to the bend-radius of the fiber. This modulation mechanism is described analytically in this paper. Results relate the relative light loss to the fiber curvature for different parameters of the sensitive zone (depth, length, number of cuts, bend radius, and pitch of cuts). This allows a quantitative optimization of the gauge without having to produce thousands of sensors with slightly different combination of parameters in order to accomplish a similar objective experimentally.

Solution of mode coupling in step-index optical fibers by the Fokker-Planck equation and the Langevin equation

The power-flow equation is approximated by the Fokker-Planck equation that is further transformed into a stochastic differential (Langevin) equation, resulting in an efficient method for the estimation of the state of mode coupling along step-index optical fibers caused by their intrinsic perturbation effects. The inherently stochastic nature of these effects is thus fully recognized mathematically. The numerical integration is based on the computer-simulated Langevin force. The solution matches the solution of the power-flow equation reported previously. Conceptually important steps of this work include (i) the expression of the power-flow equation in a form of the diffusion equation that is known to represent the solution of the stochastic differential equation describing processes with random perturbations and (ii) the recognition that mode coupling in multimode optical fibers is caused by random perturbations.