Research On The Displacement Solving Method Of 2D Time-Grating Based On Plane Standing Wave Field

As a basic means and technology for accurately quantifying the material world,measuring technique plays an important role in the development of modern industry and social economy,so does the displacement-measuring technique.With the development of science and technology,displacement-measuring is moving toward the higher precision and multiple dimensions in areas such as aerospace and industrial robot,more than just served for the one-dimensional space measure years before.Currently,there are three dominating methods for the two-dimensional space measuring,called the stackable structure,the two-dimensional grating measurement system and the planar capacitance measurement system.However,some limits are still existing in these three kinds of measurement systems:(1)The measurement accuracy is subject to environmental interference;(2)High-precision and low-cost cannot be both.The time-grating displacement sensor is based on the basic idea of “space-time coordinate transformation” and transforms the traditional displacement sensor “measurement space in space” into “measure space in time”.As a result,the sensor has the precision of the grating and a strong anti-interference capability,with a lower cost.However,the existing time-grating displacement sensor only works in one-dimensional space measurement,and it is still in a blank state in the field of two-dimensional measurement..Therefore,our research team members proposed an idea of two-dimensional time-grating displacement sensor on the basis of one-dimensional time grid technology to solve the above problems of the two-dimensional measurement system.This article mainly focuses on the related research of 2D time-grating displacement calculation methods.And the main research contents are as follows:1)Based on the principle of electromagnetic induction,the physical model of two dimensional time-grating displacement sensor is established and the electromagnetic field simulation analysis and verification are made by the theoretical derivation of the two dimensional time-grating plane standing wave magnetic field construction method and the magnetic signal conversion method.2)According to the characteristics of two dimensional time grating inductive signal,the displacement solution method is divided into two steps: spatio-temporal variable separation and two-dimensional space-quantity separation.A discrete Fourier transform method is proposed for the separation of spatio-temporal variables,and a separation method based on angular rotation is proposed for two-dimensional space separation.3)Firstly,the displacement solution method is simulated and analyzed,and the calculation method is optimized and solved in the whole angle according to simulation results.4)According to the displacement solution method,a two-dimensional time-gated signal acquisition and processing system is designed,and the sensor-induced electrical signals are processed to obtain a two-dimensional spatial displacement.5)The experimental platform was set up and debugged,and the stability and measurement accuracy of the two-dimensional time-grating displacement sensor were tested experimentally.The factors that affect the stability and the frequency of the internal error of the pitch were analyzed based on the test results.In summary,based on the principle of two-dimensional time-grating displacement sensor,this paper proposes a displacement calculation method based on time-quantity elimination and two-dimensional space-quantity separation,and carries out simulation,optimization,and development.The signal acquisition and processing system was designed and experimental research was conducted at the same time.The results show that the displacement calculation method is feasible,the original sensor stability is 15?m,but there is a large original error.The entire study lays the foundation for the high-precision measurement of two-dimensional time-grating displacement sensors.