Curve Fitting for Mechanical and Tribological Problems

Curve Fitting for Mechanical and Tribological Problems

Copyright: © 2021 |Pages: 28
DOI: 10.4018/978-1-7998-7078-4.ch009
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Abstract

This chapter devoted to matching the data with mathematical expressions. Here the functions using fitting by polynomial and non-polynomial expressions is represented by examples from the mechanics and tribology (M&T) fields. The Basic Fitting tool and examples of its use are described. Single and multivariate fitting through optimization are discussed. Application examples are demonstrate the curve fitting for the following data: fuel efficiency-velocity, yield strength-grain diameter, friction coefficient-time, and machine diagnostic parameter.
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9.1. Polynomial And Non-Polynomial Fitting

Process of finding the expression that best matches the data points is called curve fitting or regression analysis. An empirical or theory-based expression can be chosen to fit the data. Curve fitting with polynomial and some non-polynomial expressions is discussed below.

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