General Measurement Research On Bending And Torsion Deformations Of Regular Polygonal Prism By Laser Displacement Sensor

As the important transmission component,the regular polygonal prism is often used for quality inspection machine,paste box machine,automobile and agricultural machinery requiring large torque,anti-skid and simple assembly.However,in the process of processing and transportation,slender shaft is easy to be bend and torsional.The bending deformation and section torsion are the main factors generating vibration,noise,which seriously affect the performance and service life of the machine,and even cannot complete the assembly.Therefore,it is necessary to measure the bending deformation and section torsion of regular polygonal prism.Based on the Science and Technology Research project of “The 13 th Five-Year Plan” of the Education Department of Jilin Province "Development of Precise Measurement System for Cylindrical Parts Surface Contour and Axis"(JJKH20190137KJ),this paper studies the measurement method for eccentricity and torsion of regular polygonal prismatic parts.The main contents are as follows:1.After fully considering the geometric characteristics and measurement requirements,the non-contact measurement of regular polygonal prism is carried out by point laser displacement sensor with continuous-rotation measurement method.According to the geometric characteristics of regular polygon,the general geometric expression of regular polygon is derived,and then the general contour equation expression of regular polygon prism is derived as well.The general measurement model is established based on the measurement principle,and the eccentricity and torsion of each section are solved numerically by multiple linear regression method and contour reconstruction method,respectively.Through numerical simulation,the error analysis of each parameter of the measurement system in the experimental process is carried out,and the robustness and versatility of the algorithm are verified.2.An experimental prototype is built according to the measurement principle and required functions,which can realize electric control and non-contact continuous rotation measurement.In order to meet the position and pose requirements of the laser displacement sensor in the measurement model,the calibration model of each degree is established.The laser ray and the workpiece rotation axis are located in the same horizontal plane and strictly orthogonal after this strict calibration by standard parts.The overall error of this prototype is evaluated and the high precision is verified indirectly by measuring the standard plug gauge.3.The measurement experiment for exploring angle characteristic of point laser displacement sensor is completed,and the maximum incident angle of the laser displacement sensor is obtained within the measurement accuracy range,which provides data support for the extraction of effective data in the subsequent numerical solution process.The high accuracy of the measurement method is demonstrated by comparing the measured results with that of the mapping projector.The versatility of the measurement system is proved by measuring the different positions of regular quadrilateral prisms,regular hexagonal prisms and regular octagonal prisms.The good repeatability and reproducibility of the measurement system are verified by different experimenters operating the measurement system to measure the same workpiece at the same position for many times.The non-contact continuous-rotation measurement method effectively avoids the shortcomings of traditional probe and lever contact measurement methods.The universal measurement of regular polygonal prism is realized by the universal noncontact measurement prototype and the solving program based on numerical equation.That is a great significance to the production,quality inspection,alignment and other practical production links of regular polygonal prism parts.