CO-ORDINATE POSITION OF SENSOR IN MASS OF CUTTING TOOL

Transcription

1 XIV Internationa PhD Worshop OWD 00 3 October 0 CO-ORDINATE POSITION OF SENSOR IN MASS OF CUTTING TOOL G. Tymchi I. Diorditsa S. Murahovsyy R. Tymchi Nationa Technica University of Uraine "Kiev Poytechnic Institute" Abstract Mathematica research which eads to is considered in the artice necessity of ocation of sensor in the direction of maxima action of vibroacoustic wave in-bu toopiece for the receipt of effective informative signa from the area of meta-woringness.. Basics In modern meta-woringness there is a great number of probems of the detais reated to maing for which it is important not so much to get high exactness of size how many correct geometry of form. This probem causes after itsef compication. Character of which has mathematica and technica probems which are reated to the direct binding in one unit system MAID (machinetoo accessory instrument detai) for that to get the reserved technoogica circe. Mosty these probems decide directy that is uses intermediate devices of contro.. Formuation of the probem. For the decision of the put tas probems were studied which arise up in this case. For the first genera theoretic subsoi of distribution of sound-wave in instrument or detai. In most cases sizes of utrasonic emitters comparing to ength of sound wave in an environment. Therefore radiated by them voice energy is in one or another measure concentrated in certain direction. At the use of utrasonic transformer for the reception of voice signa his sensitiveness depends on direction of receipt of wave. The orientation of reception an utrasound sometimes appears the effective method of seection of usefu signa on a random noise bacground. As a radiation and reception of sound is one-to-reverse orientation of certain transformer on a reception and on a radiation is identica []. This tas is difficut enough as there is penty of instrument exacty after geometrica configuration and it requires the enough difficut decision of this probem. The basic factor of this 63 situation is the construction of cutting instrument became which does not change by decades and absoutey not adjusted to estabishment on him of transformers of contro of meta-woringness. Consider case of the rea instrument. Distance of pane of basing of transformer from the top of instrument - sin sin sin sin sin sin () where is a radius of piezoeectric eement; are anges between the worings edges of instrument. Consequenty at consideration of dependences () it is possibe to reach to the concusion that we have reation between the remoteness of pane of basing of transformer () and corners between the worings edges of instrument ( ). At free interpretation of expressions () in reation to the sizes of instrument (corners) we wi get genera dependence represented on fig. а. But anaysis of expressions () shows that can exist critica situation when anges is equa. In such case we have a situation with distance of which differs from previous. In this case anges a maxima vaue taes

2 just one vaue that 3 from the point of view to maxima perception of vibroacoustic signa. Thus expressions () assume: sin x () 0 x where 3. Because of this situation description of assumes a aminar character and ocation of transformer after distance in the body of cutting instrument does not matter very much but here a probem appears reaization of cutting instrument with parameters which are equa 3 (fig. ). а) Fig.. Dependences of distance of sensor from the point of radiation after () а) invariance of from standard anges б) invariance of from standard anges at =60 According to this possibe to define a ange between the woring panes of instrument and pane of maxima intensity of acoustic radiation is a raster ange (fig. ) arctg sin sin arctg sin sin (3) arctg sin sin Dependence (3) proves that a raster ange is formed on the atera edges of cutting instrument according to the accepted pyramida mode (fig. ). А i h С В Fig.. Pyramida mode of cutting instrument 64

3 As the best indexes from the receipt of maxima power of vibroacoustic signa are dependency upon geometry of instrument the best ocation of transformer of vibroacoustic signa taes a pace at equaity of anges. Thus raster corner which actuay corresponds to the amount of energy which wi be got by a sensor increased at approaching of pane of transformer to the point of radiation but from the technoogica point of view there is not sense and possibiity to dispose it directy in the point of radiation. Therefore as raster ange indicates the maximum possibe diameter of the sensor it is best to use it according to cacuations (fig. 3) when the theoretica anges oriented to vaue. The main factor behind this concusion is that increasing the ange beyond does not ead to increase efficiency of the converter. But it shoud be noted that there is a dependence on the size of anges as raster ange dependence of the externa dimensions of the cutting too has a sharp change. Aso note that raster ange is physica - mathematicay ined with a maximum radius of sensor -. Impement a structure eement in the body of the instrument can not and shoud not. Therefore the actua sensors have radii twice three times smaer than the theoreticay cacuated. In the opposite case its instaation wi ead to some technica difficuties and a significant decrease in the strength of the cutting too which is not desirabe. So as a resut note that the theoretica dimensions can not be impemented on a rea instrument. a) Fig. 3. Size of raster ange () where 0 0 a) 3 The anges defining the direction of the acoustic cone defined as foows: arctg sin arctg sin arctg sin (4) arctg sin arctg sin arctg sin where is anges at the top of the woring too. Anayzing the dependence (4) we can concude invariance adjacent anges depending on the ange as shown in Fig. 4. This proves that the necessary anges to choose within the greater than 0-30 whie the vaue of the anges wi be ocated within the aminar part of the functions (4) (Fig. 4). 65

4 For more visibiity ocation of the converter was cacuated according to the possibe anges (4) and ength of generatrix -. In Fig. 5 shows the nearside spit cutter with trianguar cutting pate. Fig. 4. Invariance anges to the direction sensor reative to projections of its edges a) c) Fig. 5. Leftside scoring too with coordinate traces to the ocation of the converter. a)-top view -type front c) - side view d) - form an ange in front and above d) For instaation sensor to standard cutting too necessary to mae it design a number of technoogica surfaces of the main tas of which hod sensor in the optima pane. 3. Concusions The physica and mathematica modes of distribution of vibroacoustic signa is considered. It enabed to buid theoretica principes in reation to the co-ordinates of ocation of transformer in the body of cutting instrument. Certainy basic mathematica bases are in reation to the ocation of vibroacoustic eement in-bu cutting instrument. On the basis of the considered physica and mathematica principes genera conception of ocation of transformer is deveoped in the body of cutting instrument. It gave possibiity to specify the co-ordinates of ocation of transformer in the body of cutting instrument. Because of it is possibe to connect in one unit the construction of cutting instrument and co-ordinate of ocation of transformer for achievement of maxima effect of determination of moment of touch. The considered positions of ocation of transformer specify on that it is necessary to deveop the new construction of cutting instrument which wi execute not ony the process of meta-woringness but aso provide the 66

5 process of contro which wi aow consideraby to extend the technoogica abiities. Bibiography []. Тимчик Г.С. Відчутники контрольновимірювальних систем: монографія. //Тимчик Г.С. Скицюк В.І. Вайнтрауб М.А. Клочко Т.Р. - К.: НТУУ «КПІ» с.- Бібліогр.: 3-39 с. []. Скицюк В.І. Вимірювання форми деталі за статичного розташування та лінійного детермінованого руху різального інструмента. /Діордіца І.М. Науменко В.І. Ж. //Вісник НТУУ "КПІ". Серія приладобудування. 005р.-Вип.9.-С Authors I. Diorditsa S. Murahovsyy R. Tymchi Nationa Technica University of Uraine Kiev Poytechnic Institute Address: 37 Prospect Peremogy Kiev Uraine Teephone:+(38)(044) emai: indior@yandex.ru 67