A novel mathematical approach for finite element formulation of flexible robot dynamics

• A. M. Chu ^[1] ; C. D. Nguyen ^[1] ; X. B. Duong ^[1] ; A. V. Nguyen ^[1] ; T. A. Nguyen ^[1] ; C. H. Lef ^[1] ; Michael Packianather ^[2]
  1. [1] Le Quy Don Technical University

     Le Quy Don Technical University

     Vietnam

     
  2. [2] University of Greenwich

     University of Greenwich

     Reino Unido

     
• Localización: Mechanics based design of structures and machines, ISSN 1539-7734, Vol. 50, Nº. 11, 2022, págs. 3747-3767
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • In conventional finite element–Lagrangian methods, the dynamics model of a flexible robot is usually formulated based on a critical assumption that the kinetic energy of an element is approximately calculated with an integral of mass point energy. Since the energy integral is implicit, the formulation of the dynamics model is also very complex and implicit. Hence, this article develops a new mathematical approach for the dynamic modeling of a general flexible/rigid robot. The proposed method is more comprehensive and efficient in comparison with the previous ones because it no longer requires the calculation of the symbolic integrals and the implicit expressions of the elemental and global mass matrices. Besides, the proposed approach is applicable for both the flexible robots and the hybrid flexible/rigid robots. To validate the proposed method, numerical simulations and experimental results are presented.