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Publication in the Journal of Mechanical DesignThis month, ASME’s Journal of Mechanical Design published a technical paper I wrote as part of my mechanical engineering master’s research.

This peer-reviewed paper is about error propagation through design models. The formula typically used to analytically propagate error is based on a first-order Taylor series expansion, and consequently, it can be wrong by one or more orders of magnitude for nonlinear systems. Using a higher-order Taylor series does improve the accuracy of the approximation, but this comes at higher and higher computational cost. This paper presents a technique for error propagation that achieves higher-order accuracy but without the additional higher-order cost. This is accomplished by predicting the Taylor series truncation error and applying a “correction factor” to the lower-order model.

Title Efficient Propagation of Error Through System Models for Functions Common in Engineering
Abstract System modeling can help designers make and verify design decisions early in the design process if the model’s accuracy can be determined. The formula typically more
Journal Journal of Mechanical Design
Publication Date January 4, 2012
Volume 134
Issue 1
Publication URL http://link.aip.org/link/?JMD/134/014501
Doi http://dx.doi.org/10.1115/1.4005444