Multibody Dynamics of Reconfigurable Space System. Part II: (Contact Dynamics and Numerical Verification Method).

Abstract In order to analyze dynamics of space systems, such as cluster satellite systems and the capturing process of damaged satellites, it is necessary to consider such space systems as reconfigurable multibody systems. In this paper, we discuss the numerical computation of the dynamics of the ground experiment system to simulate the capturing and berthing process of a satellite by a dual-manipulator on the flat floor as an example. We have previously discussed the efficient dynamics algorithm for reconfigurable multibody system with topological changes. However, the contact dynamics, which is one of the most difficult issues in our study, remains to be discussed. We introduce two types of the linear complementarity problem (LCP) concerned with contact dynamics. The difference between the two types of LCP is whether impacts can be considered. Dynamic systems with impacts and friction are non-conservation systems; moreover the LCP is not always solvable. Therefore we must check if the solutions of the numerical computation are correct, or how accurate they are. In this paper, we derive the method of numerical computation with guaranteed accuracy of the LCP for contact dynamics.

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Multibody Dynamics of Reconfigurable Space System. Part I. On Dynamics Algorithm.

JOURNAL OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES ◽

10.2322/jjsass.48.418 ◽

2000 ◽

Vol 48 (563) ◽

pp. 418-424 ◽

Cited By ~ 2

Author(s):

Takashi TAKAHASHI ◽

Saburo MATUNAGA

Keyword(s):

Multibody Dynamics ◽

Space System ◽

System Part

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A numerical verification method for two-coupled elliptic partial differential equations

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/bf03186533 ◽

2009 ◽

Vol 26 (2-3) ◽

pp. 233-247 ◽

Cited By ~ 7

Author(s):

Yoshitaka Watanabe

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Numerical Verification ◽

Partial Differential ◽

Verification Method

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A simple numerical verification method for differential equations based on infinite dimensional sequential iteration

Nonlinear Theory and Its Applications IEICE ◽

10.1587/nolta.4.23 ◽

2013 ◽

Vol 4 (1) ◽

pp. 23-33 ◽

Cited By ~ 5

Author(s):

Yoshitaka Watanabe

Keyword(s):

Differential Equations ◽

Numerical Verification ◽

Verification Method ◽

Infinite Dimensional ◽

Sequential Iteration

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Methodology for managing the flows of target information in the remote sensing space system Part 1. Task formalization

RUDN Journal of Engineering Researches ◽

10.22363/2312-8143-2021-22-1-54-64 ◽

2021 ◽

Vol 22 (1) ◽

pp. 54-64

Author(s):

Alexander V. Starkov ◽

Andrey A. Emelyanov ◽

Lyubov A. Grishantseva ◽

Ksenia I. Zhukovskaya ◽

Alexander A. Morozov ◽

...

Keyword(s):

Performance Indicators ◽

Methodological Approach ◽

Technical Problem ◽

Main Task ◽

Space System ◽

Target Information ◽

Distributed Information System ◽

Distributed Information ◽

System Part ◽

The Cost

The article is devoted to the formalization of the problem of distribution of target information flows during the operation of the ERS space system. It is proposed to consider the system as a complex, geographically-distributed information system, the main task of which is to implement a full service cycle, starting with the formation of an application and ending with the provision of a finished thematic product. The decomposition of the ERS space system as a complex information organizational and technical system was carried out, the system and consumer characteristics of its elements were determined. The possibility is substantiated to carry out an objective curtailment of system performance indicators and go to two particular ones that characterize the effectiveness of the target functioning of the system as a whole: the promptness (time) of fulfilling consumer requests for a finished thematic product and the cost of the finished thematic product. A general methodological approach to solving the technical problem is proposed. The result is a formal presentation of the task of distributing the streams of target information during the operation of the ERS space system as a sequence of the following operations: formation of an application; determination of the list of requests to the system required to complete the application; determining the processes and the sequence of their execution that will process the corresponding requests; optimization of the time distribution of processes among the elements of the system, taking into account the selected performance indicators and existing limitations.

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