An Analytical Method for Tether Systems Composed of Rigid Bodies Introducing Linear Complementarity Problem

EasyChair Preprint no. 13321

Abstract

In recent years, the System with Rigid body and Extremely Flexible components (hereinafter called “SREF”) is increasingly used in next-generation space crafts which have huge structures [1]. Previous studies have proposed effective methods for analyzing SREF motion, which based on an analogy between the state transitions of the SREF and the contact problem of rigid bodies. Ooshima et al. [2] proposed an efficient analysis method by solving linear complementarity problems for the state transitions of SREF, which include transitions in which the string is subjected to impact tension and transitions in which the tension is lost. In the proposed method, the mass is assumed to be a mass point which has planar motion, and good agreement is confirmed by analysis and experiment. However, since the masses constituting the SREF are not treated as rigid bodies, the effect of their moment of inertia on the motion is not considered. Thus, this paper investigates the effect of moment of inertia on dynamics in tether system using two-dimensional analysis and compare results of analysis and experiments.

Keyphrases: contact problem, flexible multibody system, linear complementarity problem, Rigid Body Motion

@Booklet{EasyChair:13321,
  author = {Sakuya Nemoto and Yoshiki Sugawara and Masakazu Takeda},
  title = {An Analytical Method for Tether Systems Composed of Rigid Bodies Introducing Linear Complementarity Problem},
  howpublished = {EasyChair Preprint no. 13321},

  year = {EasyChair, 2024}}