Calculating Hysteresis Error
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Measurement Industrial Equipment GE PG9171 Gas Turbine IAM Blog Glossary IAM Search Typical Calibration Errors Recall that the slope-intercept form of a linear hysteresis def equation describes the response of a linear instrument: y =
Hysteresis Formula
mx + b Where, y = Output m = Span adjustment x = Input
Hysteresis Error Definition
b = Zero adjustment A zero shift calibration error shifts the function vertically on the graph. This error affects all calibration points equally, creating the same http://www.appmeas.co.uk/technical-notes/what-are-hysteresis-errors.html percentage of error across the entire range: A span shift calibration error shifts the slope of the function. This error’s effect is unequal at different points throughout the range: A linearity calibration error causes the function to deviate from a straight line. This type of error does not directly relate to a shift in either http://iamechatronics.com/notes/general-engineering/306-typical-calibration-errors zero (b) or span (m) because the slope-intercept equation only describes straight lines. If an instrument does not provide a linearity adjustment, the best you can do for this type of error is “split the error” between high and low extremes, so the maximum absolute error at any point in the range is minimized: A hysteresis calibration error occurs when the instrument responds differently to an increasing input compared to a decreasing input. The only way to detect this type of error is to do an up-down calibration test, checking for instrument response at the same calibration points going down as going up: Hysteresis errors are almost always caused by mechanical friction on some moving element (and/or a loose coupling between mechanical elements) such as bourdon tubes, bellows, diaphragms, pivots, levers, or gear sets. Flexible metal strips called flexures – which are designed to serve as frictionless pivot points in mechanical instruments – may also cause hysteresis errors if cracked or b
cyclic loading? I have force and displacement data of 15 loop of cyclic loading in excel file. How can I calculate the Hysteresis area in every cycle (the area between loading and unloading https://www.researchgate.net/post/How_can_I_calculate_the_area_of_hysteresis_in_cyclic_loading in cyclic loading in force vs displacement graph)? I want to compare these areas. actually we can solve it using Trapezoidal Rule (area = { [ f(a)+f(b) ] /2 } * (b-a)) but does anyone know a MATLAB code or a Macro for this calculation?vthank you Topics Finite Element Modeling × 607 Questions 4,335 Followers Follow Finite Element Analysis × 947 Questions 9,488 Followers Follow Coding × 1,503 Questions 279 Followers Follow hysteresis error Hysteresis × 187 Questions 72 Followers Follow Macro × 88 Questions 71 Followers Follow MATLAB × 5,187 Questions 9,197 Followers Follow Dec 14, 2014 Share Facebook Twitter LinkedIn Google+ 0 / 1 All Answers (7) Pooya Ghaderi · University of Cambridge http://www.mathworks.com/help/matlab/ref/trapz.html Dec 16, 2014 Ömer Faruk Bodur · University of Sydney Area=trapz(Loading) - trapz(Unloading); Loading and Unloading variables are vectors. If you want to be more precise, look for calculating hysteresis error trapz() function in detail by typing on the Matlab console help trapz Dec 16, 2014 Andras Gilicz · MVM Underground Gas Storage Dear Parinaz, You can do it directly in Excel without any coding just simply apply a trapezoidal rule to the upload and download parts of your curve, and subtract the two areas. You also can use the trapz() function in MATLAB as indicated by the gentlemen above, or I could write you a small macro which does it. Just send me your data to agilicz@gmail.com. cheers, Andras Dec 17, 2014 David Wine · Intellectual Ventures If you have enough data points and your curves are well-behaved - and it looks like it - use the TREND function in Excel to curve fit each half of your graph (up and down), subtract the functions to get a difference function, then use the SUMPRODUCT function to build the integral over your range. This is effectively the trapezoidal method with higher precision. Dec 17, 2014 Parinaz Ashrafi · Middle East Technical University Dear friends , I think I should mentioned in my question that my main problem was categorizing the data of each cycle separately in excel or Matlab. i know how to use tapz code in Matlab and that it is easier in excel. Dear David unf
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