Simulation techniques when applied for metrological estimations have recently emerged as a tool for potential improvement in design and performance aspects. The current paper reports one such application for the numerical estimation of the distortions and strains developed in a standard piston gauge leading to the estimation of the effective area and the pressure distortion coefficient up to a pressure of 4 MPa, through the application of finite element analysis (FEA) technique and a comparative analysis of its outcome with the experimentally and theoretically determined values as well as the Monte-Carlo simulation results. The experimental characterization was done using cross-floating method while theoretical approach used the Dadson's equations. The strain values for the piston-cylinder assembly under pressure, obtained from the FEA simulation, were used to calculate the distortions in the piston and cylinder, which in turn were used for calculating the effective area of the piston gauge at various pressure points. From the obtained effective area with pressure values, the zero pressure effective area and the distortion coefficients were calculated. In addition, the results of FEA were also compared with the previously published results from the Monte Carlo Simulation on the same piston-cylinder assembly. Interestingly, the uncertainty associated with the distortion coefficient estimated using FEA, was found to be an order of magnitude lower as compared to the other approaches.

中文翻译：

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使用有限元模拟技术与交叉浮子、理论和蒙特卡罗方法表征标准气动活塞计


应用于计量估计的仿真技术最近已成为设计和性能方面潜在改进的工具。当前的论文报道了这样一个应用程序，用于对标准活塞压力计中开发的变形和应变进行数值估计，通过有限元分析的应用，可以估计有效面积和压力高达 4 MPa 的压力变形系数（FEA）技术及其结果与实验和理论确定值以及蒙特卡罗模拟结果的比较分析。实验表征是使用交叉浮动法完成的，而理论方法则使用Dadson 方程。从有限元模拟获得的活塞-气缸组件在压力下的应变值用于计算活塞和气缸的变形，进而用于计算活塞计在不同压力点的有效面积。根据获得的有效面积与压力值，计算零压力有效面积和畸变系数。此外，还将有限元分析的结果与之前发布的同一活塞-气缸组件的蒙特卡罗模拟结果进行了比较。有趣的是，与使用 FEA 估计的失真系数相关的不确定性被发现比其他方法低一个数量级。