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Proceedings of SerbiaTrib '13

Proceedings of SerbiaTrib '13

Proceedings of SerbiaTrib '13

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Fractal dimensions were determined using thebox-counting method which has been proven tohave higher calculation speed and more accuracyby Dougan and Shi.the structure <strong>of</strong> a neural network until it can modelthe problem in the most efficient way. Neuralnetworks are models <strong>of</strong> biological neural structures.The starting point for most neural networks is amodel neuron, as shown in Fig. 7. This neuronconsists <strong>of</strong> multiple inputs and a single output. Eachinput is modified by a weight, which multiplieswith the input value.Figure 6. Calculation <strong>of</strong> fractal dimensions with boxcountingmethodTo analyse the results we used one method <strong>of</strong>intelligent system; the neural network. Artificialneural networks (ANN) are simulations <strong>of</strong>collections <strong>of</strong> model biological neurons. A neuronoperates by receiving signals from other neuronsthrough connections called synapses. Thecombination <strong>of</strong> these signals, in excess <strong>of</strong> a certainthreshold or activation level, will result in theneuron firing, i.e., sending a signal to anotherneuron to which it is connected. Some signals act asexcitations and others as inhibitions to a neuronfiring. What we call thinking is believed to be thecollective effect <strong>of</strong> the presence or absence <strong>of</strong>firings in the patterns <strong>of</strong> synaptic connectionsbetween neurons. In this context, neural networksare not simulations <strong>of</strong> real neurons, in that they donot model the biology, chemistry, or physics <strong>of</strong> areal neuron. However, they do model severalaspects <strong>of</strong> the information combination and patternrecognition behaviour <strong>of</strong> real neurons, in a simpleyet meaningful way. This neural modelling hasshown incredible capability for emulation, analysis,prediction and association. Neural networks can beused in a variety <strong>of</strong> powerful ways: to learn andreproduce rules or operations from given examples;to analyse and generalise sample facts and to makepredictions from these; or to memorisecharacteristics and features <strong>of</strong> given data and tomatch or make associations with new data. Neuralnetworks can be used to make strict yes-nodecisions or to produce more critical, finely valuedjudgments. Neural network technology is combinedwith genetic optimisation technology to facilitatethe development <strong>of</strong> optimal neural networks tosolve modelling problems. Genetic optimisationuses an evolution-like process to refine and enhance3. RESULTFigure 7. A neuron modelGraph [1-2] present relationship betweenroughness R a and hardness in specimens hardenedat different speeds at 1000 °C with both process.Roughness2502001501005004 mm/s3 mm/s5 mm/s2 mm/s55 56 57 58 59 60 61HardnessExperimental dataFitting curve with neural networkGraph 1. Relationship between roughness R a andhardness in specimens hardened at different speeds at1000 °CRoughness1400120010008006004002003 mm/s2 mm/s4 mm/s5 mm/s057,7 57,8 57,9 58 58,1 58,2 58,3HardnessExperimental dataFitting curve with neural networkGraph 2. Relationship between roughness R a andhardness in specimens hardened at different speeds at1000 °C with process <strong>of</strong> overlapping13 th International Conference on Tribology – Serbiatrib’13 357

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