Computer Simulation of Numerical Description of Closed Curve Using Fourier Coefficients

Abstract

This article specifies the numerical description of the closed curve using the Fourier series. Fourier analysis of closed curve is used in order to find the appropriate guidance mechanism by electronic catalog. This method is based on optimization methods and allows taking into account the additional requirements of synthesis and limits. The most important role in the study of problems including their computer modeling is assigned to the methods of presenting the obtained results and, above all, the methods of graphic imaging and visualization of the phenomena under study. The main method of computer modeling is writing of proprietary software in algorithmic programming language C++, which gives a fundamental versatility of possibilities and direct comprehension of computer-oriented nature of the used modeling methods. By taking into account the identified shortcomings, it was formulated the setting of research problems, the solution of which allows achieving the goal to be sought—the method for representing of lever mechanisms in the database using Fourier series coefficients for decomposition of the mechanism coupler curve. The methodology offered in this paper represents an effective way to select the first approximation for the synthesized mechanism that allows, on the one hand, the most effective way to create the library of mechanisms and quickly find the right mechanism.