کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
500264 863079 2007 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Lie group variational integrators for the full body problem
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Lie group variational integrators for the full body problem
چکیده انگلیسی

We develop the equations of motion for full body models that describe the dynamics of rigid bodies, acting under their mutual gravity. The equations are derived using a variational approach where variations are defined on the Lie group of rigid body configurations. Both continuous equations of motion and variational integrators are developed in Lagrangian and Hamiltonian forms, and the reduction from the inertial frame to a relative frame is also carried out. The Lie group variational integrators are shown to be symplectic, to preserve conserved quantities, and to guarantee exact evolution on the configuration space. One of these variational integrators is used to simulate the dynamics of two rigid dumbbell bodies.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 196, Issues 29–30, 15 May 2007, Pages 2907–2924
نویسندگان
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