Geometric Spectral Algorithms for the Simulation of Rigid Bodies-Reference-Cited by-同舟云学术

Geometric Spectral Algorithms for the Simulation of Rigid Bodies

Published:2019-10-07 Issue:12 Volume:14 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Li Yiqun¹,Meiramgul Razikhova²,Chen Jiankui¹,Yin Zhouping¹

Affiliation:

1. State Key Laboratory of Digital Manufacturing Equipment and Technology, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China

2. School of Computer Science and Technology, Harbin Institute of Technology, Harbin 150001, China

Abstract

Abstract Lie group methods are an excellent choice for simulating differential equations evolving on Lie groups or homogeneous manifolds, as they can preserve the underlying geometric structures of the corresponding manifolds. Spectral methods are a popular choice for constructing numerical approximations for smooth problems, as they can converge geometrically. In this paper, we focus on developing numerical methods for the simulation of geometric dynamics and control of rigid body systems. Practical algorithms, which combine the advantages of Lie group methods and spectral methods, are given and they are tested both in a geometric dynamic system and a geometric control system.

Funder

China Postdoctoral Science Foundation

National Natural Science Foundation of China

National Postdoctoral Program for Innovative Talents

Postdoctoral Science and Technology Activity Project of Hubei Province

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.4044925/6429354/cnd_014_12_121005.pdf

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