Solutions to the characteristic equation for industrial robot’s elliptic trajectories

Linearne nezavisne neprojektivne transformacije rabe se za različite vrste aplikacija. Predlaže se direktna analitička metoda za rješenje linearne transformacije karakteristične jednadžbe za industrijskog robota. Teorijska osnova metode proizlazi iz klasičnih rješenja sa simetrijama, ali metoda ne sadržava formule s korijenima. Automorfizmi se dijele na teoriju skupova i opću algebru. To nam omogućuje učinkovitiju primjenu te metode za druge tehničke zadatke.Linear independent non-projective transformations are used for different types of applications. Direct analytical method for solving the linear transformation of the characteristic equation for industrial robot is proposed. The theoretical basis of the method derives from the classical solutions with symmetries, but the method does not contain formulas with radicals. Automorphisms are divided into set theory and universal algebra. This feature allows us to use this method more efficiently for other engineering tasks