三维弹性弦摆的动力学
Dynamics of a 3D Elastic String Pendulum
AI总结：
针对弹性弦连接刚体系统，提出解析模型和保持哈密顿结构的李群变分积分器，并数值模拟验证。
摘要：
本文提出了一个解析模型和一个几何数值积分器，用于在重力势作用下连接到弹性弦的刚体。由于弦连接到刚体的点偏离刚体质心，弦变形与刚体动力学之间存在非线性耦合效应。开发了一种几何数值积分器，称为李群变分积分器，以数值保持所提出模型的哈密顿结构及其李群构型流形。通过数值模拟说明了这些性质。
英文摘要：
This paper presents an analytical model and a geometric numerical integrator for a rigid body connected to an elastic string, acting under a gravitational potential. Since the point where the string is attached to the rigid body is displaced from the center of mass of the rigid body, there exist nonlinear coupling effects between the string deformation and the rigid body dynamics. A geometric numerical integrator, refereed to as a Lie group variational integrator, is developed to numerically preserve the Hamiltonian structure of the presented model and its Lie group configuration manifold. These properties are illustrated by a numerical simulation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
