The spatial averaging method for non-homogeneous random fields with application to reliability analysis

2022 ◽  
Vol 253 ◽  
pp. 113761
Author(s):  
Sebastian Geyer ◽  
Iason Papaioannou ◽  
Lori Graham-Brady ◽  
Daniel Straub
Keyword(s):  
Reliability Analysis ◽  
Random Fields ◽  
Averaging Method ◽  
Spatial Averaging

An Adaptive Kriging-Based Approach with Weakly Stationary Random Fields for Soil Slope Reliability Analysis

2019 ◽  
Author(s):  
Mehrzad Rahimi ◽  
Zeyu Wang ◽  
Abdollah Shafieezadeh ◽  
Dylan Wood ◽  
Ethan J. Kubatko
Keyword(s):  
Reliability Analysis ◽  
Random Fields ◽  
Soil Slope ◽  
Stationary Random Fields ◽  
Adaptive Kriging

scholarly journals The reliability analysis of using the volume averaging method to simulate the solidification process in a ingot

2014 ◽  
Vol 63 (12) ◽  
pp. 128103
Author(s):  
Li Ri ◽  
Wang Jian ◽  
Zhou Li-Ming ◽  
Pan Hong
Keyword(s):  
Reliability Analysis ◽  
Averaging Method ◽  
Solidification Process ◽  
Volume Averaging

scholarly journals Flow Velocity Measurement Using a Spatial Averaging Method with Two-Dimensional Flexural Ultrasonic Array Technology

Sensors ◽  
2019 ◽  
Vol 19 (21) ◽  
pp. 4786 ◽  
Author(s):  
Lei Kang ◽  
Andrew Feeney ◽  
Riliang Su ◽  
David Lines ◽  
Sivaram Nishal Ramadas ◽  
...  
Keyword(s):  
Flow Velocity ◽  
Flow Measurement ◽  
Averaging Method ◽  
Spatial Averaging ◽  
Flow Meters ◽  
Average Flow ◽  
Average Flow Velocity ◽  
Array Transducer ◽  
Flow Velocity Measurement ◽  
Ultrasonic Array

Accurate average flow velocity determination is essential for flow measurement in many industries, including automotive, chemical, and oil and gas. The ultrasonic transit-time method is common for average flow velocity measurement, but current limitations restrict measurement accuracy, including fluid dynamic effects from unavoidable phenomena such as turbulence, swirls or vortices, and systematic flow meter errors in calibration or configuration. A new spatial averaging method is proposed, based on flexural ultrasonic array transducer technology, to improve measurement accuracy and reduce the uncertainty of the measurement results. A novel two-dimensional flexural ultrasonic array transducer is developed to validate this measurement method, comprising eight individual elements, each forming distinct paths to a single ultrasonic transducer. These paths are distributed in two chordal planes, symmetric and adjacent to a diametral plane. It is demonstrated that the root-mean-square deviation of the average flow velocity, computed using the spatial averaging method with the array transducer is 2.94%, which is lower compared to that of the individual paths ranging from 3.65% to 8.87% with an average of 6.90%. This is advantageous for improving the accuracy and reducing the uncertainty of classical single-path ultrasonic flow meters, and also for conventional multi-path ultrasonic flow meters through the measurement via each flow plane with reduced uncertainty. This research will drive new developments in ultrasonic flow measurement in a wide range of industrial applications.

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