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The automatic computational procedure to derivate dynamics equations of systems with programmed constraints modified to encompass compliant mechanical components in their structures is discussed in the paper. The dynamics analysis of the compliant manipulator model with a flexible link is presented as an example. The rigid finite element method is used in order to take into account the flexibility of the link. The formalism of joint coordinates and homogeneous transformations are used to describe the manipulator motion.

Programmed task based motion analysis of robotic systems equipped with flexible links and supports