基于有限元分析的活塞压力计形变系数理论计算  

Theoretical Calculations for Distortion Coefficient of Piston Gauge Based on Finite Element Analysis

作　　者：王博文 马坤 董嘉 黄谦 杨莹 杨远超[1] 悦进[1] WANG Bowen;MA Kun;DONG Jia;HUANG Qian;YANG Ying;YANG Yuanchao;YUE Jin(National Institute of Metrology,Beijing 100029,China)

机构地区：[1]中国计量科学研究院,北京100029

出　　处：《计量学报》2024年第10期1525-1532,共8页Acta Metrologica Sinica

基　　金：中国计量科学研究院基本科研业务费重点领域项目(AKYZD2303-2);中国计量科学研究院基本科研业务费所自主项目(AKYZZ2305)。

摘　　要：基于有限元分析方法,计算了600 kPa气体活塞压力计和500 MPa油介质活塞压力计的形变系数。根据活塞间隙压力分布与间隙形变的耦合关系,采用迭代计算,确定了在某一测量压力下活塞系统的最终压力分布和间隙。在此基础上,计算了在各压力点下的活塞有效面积,并通过最小二乘拟合获得了压力形变系数。基于Python和ANSYS APDL编写了计算程序,研究了参数微调对计算结果的影响,并评估了形变系数计算结果的不确定度。对于600 kPa气体活塞压力计,形变系数的有限元计算结果与简单理论计算结果相差仅0.8%;对于500 MPa油介质活塞压力计,形变系数的有限元计算结果与实验测量值在不确定度范围内一致。Based on the finite element analysis(FEA)method,the distortion coefficients of the 600 kPa gas piston gauge and 500 MPa oil piston gauge are computed.According to the coupling relationship between the pressure distribution in the piston-cylinder gap and the gap distortion,the final pressure distribution and gap values under a certain measuring pressure are determined by iteration calculations.Based on this,the effective areas of piston gauge at various pressure points are calculated,and the pressure distortion coefficient is obtained by the least-square fit.A script for computation is developed using Python and ANSYS APDL.The influence of tuning parameters on the results is studied,and the uncertainty of the computed distortion coefficient is estimated.For the 600 kPa gas piston gauge,the difference between the computed distortion coefficients by FEA and simple theory is only 0.8%.For the 500 MPa oil piston gauge,the distortion coefficient computed by FEA is consistent with the value from experimental measurement within the uncertainty.

关 键 词：压力计量 形变系数 有限元分析 活塞压力计 有效面积 

分 类 号：TB935[一般工业技术—计量学]