Energy conserving time integration scheme for geometrically exact beam
نویسندگان
چکیده
منابع مشابه
Objective energy–momentum conserving integration for the constrained dynamics of geometrically exact beams
In this paper the results in [S. Leyendecker, P. Betsch, P. Steinmann, Energy-conserving integration of constrained Hamiltonian systems—a comparison of approaches, Comput. Mech. 33 (2004) 174–185] are extended to geometrically exact beams. The finite element formulation for nonlinear beams in terms of directors, providing a framework for the objective description of their dynamics, is considere...
متن کاملConserving energy and momentum in nonlinear dynamics: A simple implicit time integration scheme
We focus on a simple implicit time integration scheme for the transient response solution of structures when large deformations and long time durations are considered. Our aim is to have a practical method of implicit time integration for analyses in which the widely used Newmark time integration procedure is not conserving energy and momentum, and is unstable. The method of time integration di...
متن کامل8 Variational Lie Group Formulation of Geometrically Exact Beam Dynamics: Synchronous and Asynchronous Integration
For the elastodynamic simulation of a geometrically exact beam [1], an asynchronous variational integrator (AVI) [2] is derived from a PDE viewpoint. Variational integrators are symplectic and conserve discrete momentum maps and since the presented integrator is derived in the Lie group setting (SO (3) for the representation of rotational degrees of freedom), it intrinsically preserves the grou...
متن کاملGeometrically exact dynamic splines
In this paper, we propose a complete model handling physical simulation of deformable 1D objects. We formulate continuous expressions for stretching, bending and twisting energies. These expressions are mechanically rigorous and geometrically exact. Both elastic and plastic deformations are handled to simulate a wide range of materials. We validate the proposed model on several classical test c...
متن کاملMultisymplectic Lie group variational integrator for a geometrically exact beam in R
In this paper we develop, study, and test a Lie group multisymplectic integrator for geometrically exact beams based on the covariant Lagrangian formulation. We exploit the multisymplectic character of the integrator to analyze the energy and momentum map conservations associated to the temporal and spatial discrete evolutions.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computer Methods in Applied Mechanics and Engineering
سال: 2007
ISSN: 0045-7825
DOI: 10.1016/j.cma.2006.10.012