Flexible beam in R3 under large overall motions and Asynchronous Variational Integrators
| Author(s): |
François Demoures
François Gay-Balmaz Julien Nembrini Tudor Ratiu Yves Weinand |
|---|---|
| Medium: | conference paper |
| Language(s): | English |
| Conference: | 35th Annual Symposium of IABSE / 52nd Annual Symposium of IASS / 6th International Conference on Space Structures: Taller, Longer, Lighter - Meeting growing demand with limited resources, London, United Kingdom, September 2011 |
| Published in: | IABSE-IASS 2011 London Symposium Report |
| Year: | 2011 |
| Abstract: |
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. |
| Keywords: |
beam discrete variational mechanics AVI special Cosserat rod frame-indifference Lie group variational integrator
|
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10065343 - Published on:
03/10/2011 - Last updated on:
05/07/2021
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