Abstract
The purpose of this article was to present an algorithm for creating an ellipse for any data set represented on a two-dimensional reference frame. The study objective was to verify the developed method on real results of experimental tests with different subject matter. This article contains a mathematical algorithm to describe a set of points with elliptical areas. In addition, four results of tests with different subject matter are cited, based on which the developed method was verified. The verification of the method included checking the deviation of the geometric dimensions of the ellipse, the number of points contained within the ellipse, and the area of the ellipse. The implemented research methodology allowed to demonstrate the possibility of using the method of describing a set of points with elliptical areas, in order to determine quantitative parameters evaluating the results of the test. The presented results show the method’s applicability for the results obtained in four different operational tests: measurement of the human body’s gravity center position for a person propelling a wheelchair, measurement of marker position using motion capture methods, measurement of particulate emissions when using equipment powered by an internal combustion engine, and measurement of the muscle activity of the upper limb when propelling a hybrid manual-electric wheelchair. The performed experiments demonstrated that the method allows to describe about 85% of all measurement points with an ellipse.
Highlights
Developed technical devices are characterized by the complexity of their functional structure
The complex functionality and variety of configurations of operating parameters characterizing the innovative technical solutions result in studies of their effect on the surrounding environment consisting of several experiments measuring the same physical quantity
Are excellent examples of such tests. In both cases, operating parameters and design features that affect the value of one physical quantity can be controlled during operational tests
Summary
Developed technical devices are characterized by the complexity of their functional structure. Such a trend can be observed in all types of equipment, ranging from mechanisms [1,2,3], to rehabilitation equipment [4,5,6], machines [7,8], vehicles [9,10], and transport infrastructure [11]. In both cases, operating parameters and design features that affect the value of one physical quantity can be controlled during operational tests. This translates into the ability of the device to perform a single function that, depending on the configuration, generates different values of the studied physical quantities
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