POLYNOMIAL INTERPOLATION FUNCTIONS IN ADVANCED DYNAMICS

Iuliu NEGREAN, Adina CRIŞAN

Abstract


The present paper is devoted to the research of the main author, in what concerns the use of polynomial interpolation functions in generating the motion trajectory of an industrial robot. In this purpose are presented some classical formulations on polynomial interpolation functions of third order with restrictions. Unlike the third order polynomials, the higher order polynomials  have the advantage of ensuring the continuity in accelerations of higher order. Are also presented, in explicit form, the expressions for the acceleration energy of first, second and third order, corresponding to the current and sudden motions multi body systems and which are further use to define the motion equations. In the final part of the paper, the formulations are applied to describe the dynamic behavior of a 2TR robot structure. So, are determined the expressions for the acceleration energies of first, second and third order, compulsory in defining the dynamic equations. The time variation laws for generalized coordinates, velocities, accelerations, energy of accelerations and generalized forces of first, second and third order will be also defined.  

Key words: polynomial interpolation functions, advanced dynamics, acceleration energy, robotics.


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References


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