Development Of Contourgraph Based On The Principle Of Error Averaging Of Plane Air Bearing

In recent years, the development of precision and ultra precision machining technology, which has put forward higher requirements on the precision and stability of precision measuring instruments. Based on the advantages of high precision, small friction, good stability, and so on, it is widely used in precision measuring instruments. It is important to explore the two key problems of the research on the law of the effect of gas error and the design of the new X-Y air bearing platform, which is of great theoretical and practical significance.According to the formation of the surface morphology of the object, the method of function fitting is used to simulate the plane profile of the object, and the specific expression of the surface topography is obtained.According to the basic equation of gas lubricated bearing N-S equation, the Reynolds equation and the motion state of the air bearing guide rail, the governing equation of gas lubrication of the plane air bearing guide can be deduced, and the corresponding boundary conditions are obtained. Set pneumatic floating rail location parameter, according to the mechanics mathematical equations are listed in the pneumatic floating rail balance principle and angry floating rail mechanical equilibrium conditions. Using finite difference numerical method is used to discretize the equations. Under the environment of MATLAB programming, using over relaxation iteration (SLOR) method, the first step is to calculate air floating guide rail in the theory of gas film thickness under the condition of bearing capacity, this capacity as the initial condition and calculation under the condition of simulated surface morphology of objects moving guide rail for each location parameters. After the use of minimum tolerance method for dispatched guide motion curve of straightness error value. According to the principle of the motion of the non gas lubrication state, the motion curve of the moving guide rail under the condition of no gas lubrication is obtained by the calculation method of two points support balance principle. In order to further explore the effect of the error of the mean of the effect, the error of the different wavelength profile conditions, different theoretical gas film thickness conditions and different motion displacement conditions were calculated.In order to exert the effect of gas, a new type of X-Y air floating platform is designed, which is simple in structure, stable in movement and easy to realize. The movement platform takes the lead screw guide rail as the guiding mechanism, takes the air bearing as the support, and the air bearing as the driving mechanism. Firstly, the selection and performance analysis of the relevant components of the motion platform is carried out. After that, the parts of the key parts are drawn, the machining process is determined, and the prototype is manufactured and the experimental platform is built. Design capacity of exploring experimental scheme, bearing force and film thickness relationship was obtained; design of motion error of inquiry experiment scheme, tested under different gas pressure conditions of the floating platform trajectory, minimum containment procedure compiling, evaluating straightness error, through the experimental comparison of the data that condition, the optimal error in the homogenization effect of air pressure value, which the subsequent practice has important significance.