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Computational Mechanics

, Volume 64, Issue 6, pp 1517–1535 | Cite as

Flexible actuator finite element applied to spatial mechanisms by a finite deformation dynamic formulation

  • Tiago Morkis SiqueiraEmail author
  • Humberto Breves Coda
Original Paper
First Online:
  • 204 Downloads

Abstract

A flexible actuator finite element is developed and applied for the modelling of spatial mechanisms present in several industrial applications. A total Lagrangian framework is employed for the development of the finite deformation dynamic equilibrium using solid-like shell and 3D frame finite elements. Exploiting the total Lagrangian aspect of the formulation, the actuator motion is imposed by controlling the element reference configuration. It has the advantage of retaining the actuated bar flexibility, an important factor when simulating flexible mechanisms, and not requiring special treatments as constraint enforcement impositions. As the employed elements use alternative nodal parameters such as positions and generalized vectors to describe their kinematics, a treatment on the introduction of rotational connections—spherical, revolute and pinned joints—largely present in actuated mechanisms, is developed. The nonlinear equations of motion are solved by the Newton–Raphson method. Examples are presented to evaluate the proposed flexible actuator finite element regarding its dynamical behaviour in mechanisms where its use is of importance.

Keywords

Flexible actuator Nonlinear dynamics Solid-like finite element Rotational joint Generalized vectors 
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Notes

Acknowledgements

The authors would like to thank the São Paulo Research Foundation (FAPESP-2016/00622-0 and FAPESP-2018/18321-1) for the research grant. This study was also financed in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior—Brasil (CAPES)—Finance Code 001.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Structural Engineering Department, São Carlos School of EngineeringUniversity of São PauloSão CarlosBrazil

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