Flexible beam in R 3 under large overall motions and Asynchronous Variational Integrators

نویسندگان

  • François DEMOURES
  • François GAY-BALMAZ
  • Julien NEMBRINI
  • Yves WEINAND
چکیده

The goal of this note is to present some new results on the application of AVI algorithms to the Simo-Marsden-Krishnaprasad beam model based on a description using rotation matrices. This follows our earlier work on the Euler-Bernoulli beam and thin-shell models with Kirchhoff-Love constraints and various boundary conditions. We consider the effect of large deflections, when the beam is subject to constraints, with different boundary conditions, and show that we can use the properties of the AVI to adapt the time-step to the constraints.

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تاریخ انتشار 2011