Analysis of electromechanical systems based on the absolute nodal coordinate formulation

• Published in: Acta mechanica Vol. 233; no. 3; pp. 1019 - 1030
• Main Authors: Nemov, Alexander S., Matikainen, Marko K., Wang, Tengfei, Mikkola, Aki
• Format: Journal Article
• Language: English
• Published: Vienna Springer Vienna 01.03.2022; Springer; Springer Nature B.V
• Subjects: Algorithms; Analysis; Classical and Continuum Physics; Control; Dynamical Systems; Elastic deformation; Electric fields; Engineering; Engineering Fluid Dynamics; Engineering Thermodynamics; Heat and Mass Transfer; Iterative methods; Microbeams; Original Paper; Simulation; Solid Mechanics; Theoretical and Applied Mechanics; Vibration
• ISSN: 0001-5970; 1619-6937
• DOI: 10.1007/s00707-022-03153-2

The absolute nodal coordinate formulation (ANCF) approach has been successfully used to analyze bodies undergoing large deformations in multibody dynamics applications. In this study, the ANCF is extended to the analysis of coupled electromechanical systems. To this end, the electrostatic equations are solved by means of conventional plane finite elements, and the ANCF is used to describe the geometrically nonlinear elastic deformation of a thin beam. Bidirectional coupling between electrostatic and elastic domains was introduced using an iterative staggering algorithm. The results illustrate that the ANCF approach can be applied to electromechanical problems when objects are discretized using beam and plate elements. Two numerical examples of microbeams subject to an electrostatic field are used to validate the proposed solution strategy and to reveal characteristic features of fully coupled electromechanical solutions accounting for finite strain theory.