Fourier series method for path generation of RCCC mechanism

The mathematical representation of the coupler curves of RCCC mechanism is established. The coupler curve of RCCC mechanism is analysed using the Fourier series theory. The internal relation between the coupler curve and the dimensional type of the RCCC mechanism in the frequency domain is discovered. Subsequently, a database comprising millions of basic dimensional types, taking the crank-rocker linkages as an example, is established. Based on the information of prescribed coupler and the database, the best suitable basic dimensional type can be determined by identification. The mathematical equations for calculating actual dimensions of mechanism and positional dimensions of installation are deduced. Thus, the path synthesis problem of RCCC mechanism can be solved by the mathematic equations and the basic dimensional type. The calculation illustration is given later in this article. [PUBLICATION ABSTRACT]