Reducing round-off errors in rigid body dynamics

Vilmart G

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Reducing round-off errors in rigid body dynamics

机译：减少刚体动态中的圆形误差

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摘要

In several recent publications, numerical integrators based on Jacobi elliptic functions are proposed for solving the equations of motion of the rigid body. Although this approach yields theoretically the exact solution, a standard implementation shows an unexpected linear propagation of round-off errors. We explain how deterministic error contribution can be avoided, so that round-off behaves like a random walk. (c) 2008 Elsevier Inc. All rights reserved.

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《Journal of Computational Physics》 |2008年第15期|共6页
作者
Vilmart G;
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作者单位

ENS Cachan Bretagne INRIA Rennes F-35170 Bruz France;

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原文格式 PDF
正文语种 eng
中图分类应用物理学;
关键词
rigid body integrator; Jacobi elliptic functions; probabilistic error propagation; long-time integration; compensated summation; quaternion; discrete Moser-Veselov algorithm; BODIES;

机译：刚性身体积分器;Jacobi椭圆函数;概率误差传播;长时间集成;补偿求和;四元数;离散Moser-Veselov算法;尸体;

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专利

1. Reducing round-off errors in rigid body dynamics [J] . Vilmart G Journal of Computational Physics . 2008,第15期

机译：减少刚体动态中的圆形误差
2. Reducing round-off errors in symmetric multistep methods [J] . Paola Console, Ernst Hairer Journal of Computational and Applied Mathematics . 2014,第Null期

机译：减少对称多步法中的舍入误差
3. Influence of Round-off Errors on the Reliability of Numerical Simulations of Chaotic Dynamic Systems [J] . Shijie Qin, Shijun Liao Journal of Applied Nonlinear Dynamics . 2018,第2期

机译：循环误差对混沌动力系统数值模拟可靠性的影响
4. DEVELOPMENT OF EFFICIENT REDUCED MODELS FOR RIGID BODY DYNAMICS SIMULATION FOR HELICOPTER MISSILE WING COMBINATIONS [C] . Tracy Van Zandt Nels Wirkkala Dr. Peter Avitabile, Brock Birdsong IMAC-XXIV;IMAC Conference on Structural Dynamics . 2006

机译：直升飞机导弹机翼组合刚体动力学仿真的有效降阶模型的建立。
5. Interpolation of Rigid-body Motion and Galerkin Methods for Flexible Multibody Dynamics [D] . Han, Shilei . 2019

机译：用于柔性多体动力学的刚体运动和Galerkin方法的插值
6. Reducing rigid-body error in a functional technique to determine ankle joint axes [O] . J Leitch, J Stebbins, AB Zavatsky 2008

机译：在确定踝关节轴的功能技术中减少刚体误差
7. Reducing round-off errors in rigid body dynamics [O] . Vilmart, Gilles 2008

机译：减少刚体动力学中的舍入误差
8. Reduced Order Modeling for Rapid Simulations of Blast and Rollover Events of a Ground Vehicle and its Occupants Using Rigid Body Dynamic Models. [R] . Ramalingam, J., Chandra, S., Thyagarajan, R. 2013

机译：基于刚体动力学模型的地面车辆及其乘员爆破和翻滚事件快速仿真的降阶建模。

Reducing round-off errors in rigid body dynamics

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