English

MSA - Technique for Stiffness Modeling of Manipulators with Complex and Hybrid Structures

Robotics 2025-11-20 v1

Abstract

The paper presents a systematic approach for stiffness modeling of manipulators with complex and hybrid structures using matrix structural analysis. In contrast to previous results, it is suitable for mixed architectures containing closed-loops, flexible links, rigid connections, passive and elastic joints with external loadings and preloadings. The proposed approach produces the Cartesian stiffness matrices in a semi-analytical manner. It presents the manipulator stiffness model as a set of conventional equations describing the link elasticities that are supplemented by a set of constraints describing connections between links. Its allows user straightforward aggregation of stiffness model equations avoiding traditional column/row merging procedures in the extended stiffness matrix. Advantages of this approach are illustrated by stiffness analysis of NaVaRo manipulator.

Keywords

Cite

@article{arxiv.2511.15294,
  title  = {MSA - Technique for Stiffness Modeling of Manipulators with Complex and Hybrid Structures},
  author = {Alexandr Klimchik and Anatol Pashkevich and Damien Chablat},
  journal= {arXiv preprint arXiv:2511.15294},
  year   = {2025}
}