Lagrangian field theory in space and time for geometrically exact Cosserat rods
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چکیده
In this article, we derive the balance of linear and angular momentum equations for geometrically exact Cosserat rods from a two dimensional Lagrangian field approach in space and time. As we use a full quaternion description for the rotatory part of the balance equations, they constitute a system of nonlinear hyperbolic partial differential algebraic equations. We prove their equivalence to the classical Euclidean frame description.
منابع مشابه
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تاریخ انتشار 2009