Change grinder of plane of component of compound constant temperature heats up material be out of shape the research that dominates a technology

Based On The Analysis Of Phase Change Thermal Conduction, the Characteristic Of Two-dimentional Heattransmission Containing The Process Of Phase Change Was Studied Thoroughly.

Thefunctional Equation Was Derived.

The Temperature Field And Thermal Deformation Weresuccessfully Calculated By Means Of The Finite Element Method.

Keywords:PThe numerical control that MK7163 of introductive 　 of Finite Element Method1 of 　 of Thermal Deformation of 　 of CMs Constant Temperature Construction Element is production of factory of Hangzhou machine tool lies grinder of plane of axial quadrature stage, its use the layout form of cross saddle, workbench motion is moved by fluid drive or hand, fluid drive uses blade pump, have control equipment of hydraulic pressure oily temperature rise; Perpendicular feed uses wheelhead numerical control form, because use number of feed inlet to accuse servo, feed precision is taller. MK7163 basically is used at grinding plane, yi Ke undertakes end panel grinding with the end panel of emery wheel. Heat of this machine tool is out of shape research had be notted begin, for this, the author joins project of national science foundation, introduce change new idea of component of compound constant temperature adjusts data the heat of MK7163 planar grinder is out of shape undertake study, obtained a few positive result, the following to its design and create the referenced value with have fair. Change component of compound constant temperature absorbed material adequately to change in recent years store can the research new achievement of the respect. Its job principle was to use change the latent heat of material is characteristic -- material is changing to be absorbed in the process or release fair look to change latent heat and temperature keeps changeless. To the machine tool, in the hot environment that its component is in the heat source that has periodic change and wave motion commonly, change more than when component part temperature the photograph of material changes when temperature, quantity of heat is passed into change material, happen to change, right now it is absorbed with change the quantity of heat that latent heat comparatives, and component part temperature is maintained changing near temperature; When temperature under change the photograph of material changes when temperature, change material produces converse photograph to change, right now it is released with change the quantity of heat that latent heat comparatives. Use change material this one character, introduce its machine tool heat to be out of shape control studies domain. Pillar of 2 tests construction of system is one of main bases of the machine tool, the treatment precision to the machine tool and precision stability have its mechanical character and heat character bigger impact, especially planar grinder is right foundation hot stiffness raises taller requirement, research target of the experiment is pillar of MK7163 planar grinder and wheelhead casing, this experiment used as same as casing of pillar of primary machine tool, wheelhead data, press its geometry dimension 1 ∶ respectively 15 with 1 ∶ 2.

The scale of 5 is contractible, if its structure pursues 1 reach the graph is shown 3 times, the foundation is similar and theoretical [3] , model imitate experiment has authenticity and authentic sex likewise. To explain to change as far as possible pillar of compound constant temperature heats up material be out of shape control is characteristic, place of gasoline tank of actual machine tool consults in the experiment, in the model same position also sets one imitate gasoline tank, its structure is shown 1 times like the graph. Conduct theory by heat, the machine tool is big (be like lathe bed, pillar, casing) temperature field, can consider as isotropy without inside the field of three-dimensional and stable temperature of heat source. Because of differential of this its heat conduction equation is: (Condition of border of its heat of 1) 　 is: (The surface outside 1) pillar is the 3rd kind of attrib border condition (2) 　 　 (the surface inside 2) pillar heats up what surface contact expresses inside attrib border condition and pillar to mix is to change material, the abidance in pillar happens to change in temperature rise process, absorb the photograph that comparatives with the material quality that produces to change to change latent heat. Change the thermal current on face of have a common boundary of data firm fluid is not stable, below this kind of circumstance, solid and liquid interface are a mobile plane, stuff is going in the process, attrib border towards the left is mobile, in solidify process, border moves right. On border, inside unit time, it is ｜ ρ Hdx/dt ｜ as a result of the quantity of heat that change and be released or absorbs (take absolute value) [4] , accordingly, the surface inside pillar mixes hot attrib border condition to be: (3) in type: T holds the post of the temperature of a bit to establish cylinder to go up; Γ the 1 surface outside be pillar; Γ 2 for the surface inside pillar; Tf1 is pillar ambient air temperature; Tf2 is temperature of the surface inside pillar; The 1 surface outside be pillar and air heat exchange α coefficient; α 2 change for the surface inside pillar and photograph material heat exchanges coefficient; K is pillar coefficient of thermal conductivity; ρ is change material density; H is change latent heat; X to change the interface is apart from to the surface inside pillar; Dx/dt to change the interface moves speed. Had proved on maths, in area Ω , contented and attrib border condition (2) , (the temperature function T(x of 3) , y) is to make functional J(T) takes extreme value. Its functional expression is: (4) 　 all is thin wall structure as a result of machine tool pillar, can conduct its heat brief melt into 2 dimension heat conduction (B is pillar wall thick) : (5) 　 however, to pillar of whole machine tool, beg solution to satisfy type (the temperature function T(x of 5) , y) is very difficult. Use finite yuan of law, become pillar disperse rectangle board unit above all, if pursue,1 is shown. Express temperature function T(x next with function of node temperature interpolation, y) , and the basis is inside each unit T(x, y) all should satisfy type (5) takes extreme value condition, OK the linear equation group that derivation gives unit temperature field and unit temperature stiffness matrix and with all round the row vector that medium temperature concerns. Graph pillar of 1 machine tool is contractible model signal is schematic (in 5) right in carrying the 3rd, υ =dx/dt is to change interfacial shift speed, temperature of the surface inside pillar is to follow from beginning to end change process and of change, namely right now attrib border condition is packet of function that contains time. Be in whole inside the surface cannot beg extreme value to decide temperature function T(x through functional, y) . For this, make following hypothesis: (1) photograph changes stuff is going the density of photograph of the solid in the process, fluid, specific heat capacity and isotropy of coefficient of thermal conductivity, have constant to be worth surely, both difference but oversight. (2) photograph changes happen inside as parallel as the surface inside pillar face, and the edge is perpendicular at inside exterior way develops. (The latent heat that 3) photograph changes to the process is absorbed or be released is constant value, with the sex of material quality thread that happens to change scale concerns. Pass afore-mentioned hypothesis, same material, device is used in the experiment, repeat the test undertake twice (in all 8 hours) the temperature value that the surface inside hour differs 80 a little bit below the record, in the 2nd experiment, the temperature that will measure in first time experiment takes the place of as given value, translate into of condition of border of the surface inside pillar the first kind of attrib border condition, criterion type (5) but translate into: (6) 　 to rectangle board unit, its unit model is shown 2 times like the graph. To T(x, y) can use bilinear interpolation function, even general type (7) generation enters functional expression (6) seeks extreme value, derivation gives unit stiffness matrix [Kt] for: (　 of 8) 　 [Kt] for symmetrical matrix. (In 9)(10)(11) (12) type, thick B of wall of T corresponding pillar; K is the coefficient of thermal conductivity of pillar. Set the temperature field of foregone pillar, can get pillar temperature rise, because structural place suffers tie and interior the mutual tie between each part, the deformation that makes become lukewarm to cause cannot happen freely, cause become lukewarm stress. Graph 2 rectangle board unit model sketch map 3 tests result and analytic 　 (field of temperature of 1) grinder pillar and experiment of hot drift analysis use different temperature environment to fall, bottom contains the steel pillar model of one imitate gasoline tank, install in all in ministry of model inside and outside at the same time have AD590 sensor of compositive temperature sensor, inductance type small displacement a certain number of. Use ALGOR3.

0 software, differentiate the model for 147 unit, if pursue,1 is shown. Observation pillar is emphasized in the experiment mural temperature field distributings and each key orders hot displacement case, experimental result expresses place to show as follows: Consult the experimental result in 5 〕 of document 〔 is knowable: ① is edge, same to each arris a flank or go up in same height, the temperature that each nod increases as what be apart from with gasoline tank and reduce, and show semmetry to distributing with the position of gasoline tank relatively. ② complex phase changes pillar of component of material constant temperature is in field of each node temperature is apparently inferior, hot displacement is relatively lesser also. ③ hot displacement is in 19, 51, 83, 131 wait for a dot to reduce more, in 43, 59, 91, 139 wait for a dot not very apparent. Classics analysis, in 43, 59, 91, 139 wait for the photograph near the dot to change material is further from heat source, the material that produces to change is finite, absorption look changes latent heat is opposite less. Field of pillar model temperature and the computational value that heat up displacement and value of temperature of date of node of watch of actual measurement value (℃ ) hot displacement is worth (S135 of ω of J of ω of S of υ of J of υ of S of μ of μ M)TjTs μ J.

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J of Tj of 247 　 　 , μ , υ J, ω J: Pillar temperature field reachs X, y, z axis direction heats up displacement computation value: S of Ts, μ , υ S, ω S: Afore-mentioned each quantity actual measurement are worth. (The heat of the wheelhead of the grinder of hot drift analysis of 2) wheelhead is out of shape immediate impact grinding machines the dimension precision of workpiece and exterior surface roughness, for this, this experiment still imitates circumstance of wheelhead be heated, had temperature field and the research that heat up displacement to the model of wheelhead box, the structure of wheelhead box is shown 3 times like the graph. Below same heat source environment, will compound have change the value of hot displacement actual measurement of the wheelhead casing of material and common wheelhead casing is compared, if pursue,as a result 4 are shown. Graph sketch map of 3 wheelhead structure pursues the MK7163 wheelhead casing that actual measurement of 4 wheelhead hot displacement is worth comparative figure test to go out heats up displacement curve to accord with the rule basically, and compound have change the casing of material falls in same heat source environment, in same position hot displacement is less than common casing apparently, farther specification changes material is complex constant temperature component is out of shape in casing heat the action in control. 4 conclusion 　 (1) photograph changes material is complex constant temperature component stands to MK7163, wheelhead casing heat is out of shape restrain have more apparent effect, its control a process to use oneself physics character, do not need to build become accurately lukewarm, metabolic maths model, suit to all sorts of mixed operating mode and different treatment environment. (2) photograph changes component of compound constant temperature makes material the method is simple, change material origin is rich, its physics, chemical character is stable, can repeat a loop to use. Apply to machine tool pillar, casing not only, other gives out heat like the machine tool such as lathe bed, main shaft and heat conducts crucial part as much applicable. (3) photograph changes character of material heat conduction is wronger, but mix into enters coefficient of thermal conductivity taller cupreous pink, aluminium powder or machine component part the structure that has muscle board. The author has done the test of this kind of respect, use afore-mentioned method to be able to rise to change material coefficient of thermal conductivity, a large number of looks that when can using its to change completely better, can draw change latent heat this one character. (4) Wen Zhongshang did not use the active control technology such as exterior heat source and exterior Leng Yuan, this kind of interface already was designed in experimental device. From result analysis, if change,component of compound constant temperature and machine tool heat up material be out of shape union of active control technology rises application can have idealer effect, work of this kind of research remains to be begun further. CNC Milling