Abstract:

This paper develops a structure-preserving variational integrator for geometrically exact beam in Hamel’s field formalism. A simulation illustrates that the derived algorithm preserves energy, momentum and geometry structure.

Key words: geometrically exact beam, Hamel’s field variational integrator, structure-preserving

摘要：

利用场论下的 Hamel 形式, 对几何精确梁提出一种保结构的变分积分子, 并通过数值仿真说明该算法保持能量、动量和几何结构的特性。

关键词: 几何精确梁, Hamel 场变分积分子, 保结构