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Object

Title: On the dynamic spaces and on the equations of motion of nonlinear nonholonomic mechanical systems

Creator:

Szatkowski, A.

Date issued/created:

1990

Resource type:

Tekst

Publisher:

Polish Scientific Publishers IFTR

Place of publishing:

Warszawa

Description:

Od Vol. 43, issue 1 (1991) wyd.: Polish Scientific Publishers = PWN ; Od Vol. 50, issue 4 (1998) wyd.: Agencja Reklamowo-Wydawnicza A. Grzegorczyk ; Od Vol. 53, issue 4/5 (2001) wyd: PAS. IFTR ; [1], 121-262 s. ; 24 cm

Type of object:

Czasopismo/Artykuł

Abstract:

Regularity of nonlinear nonholonomic mechanical systems is discussed. A lumped mechanical system is called here the regular one, if the dynamic space of the system, i.e., the space plaited of the solution curves, equals the whole configuration space of the system - the space defined by the constraints imposed on accessible positions and velocities of the system, and the system has a well defined dynamic equation. Shrinkage of the configuration space can be easily observed among the electrical networks where one can find simple constructions of nonregular systems. However, except the lumped mechanical systems which exhibit some kind of discontinuous modes, the well-posed mechanical systems which are of practical interest are the regular systems. Thus, the conditions ensuring regularity and proved here for a broad class of mechanical systems are of special importance. It has been also shown that holonomic systems are regular, and hence, the examples of nonregular mechanical systems are among the nonholonomic systems. Hence, much attention has been paid to nonholonomic systems. A general procedure for finding the space of motion and the dynamic equation of a nonregular mechanical system is proposed. The description presented is the extension of the theory initiated in the area of electrical networks.

Relation:

Archives of Mechanics

Volume:

42

Issue:

2

Start page:

151

End page:

174

Detailed Resource Type:

Czasopismo

Resource Identifier:

oai:rcin.org.pl:72489

Source:

IPPT PAN, sygn. P.262 ; click here to follow the link

Language:

eng

Language of abstract:

eng ; pol ; rus

Rights:

Licencja Creative Commons Uznanie autorstwa 4.0

Terms of use:

Zasób chroniony prawem autorskim. [CC BY 4.0 Międzynarodowe] Korzystanie dozwolone zgodnie z licencją Creative Commons Uznanie autorstwa 4.0, której pełne postanowienia dostępne są pod adresem: ; -

Digitizing institution:

Instytut Podstawowych Problemów Techniki Polskiej Akademii Nauk

Original in:

Biblioteka Instytutu Podstawowych Problemów Techniki PAN

Projects co-financed by:

Program Operacyjny Polska Cyfrowa, lata 2014-2020, Działanie 2.3 : Cyfrowa dostępność i użyteczność sektora publicznego; środki z Europejskiego Funduszu Rozwoju Regionalnego oraz współfinansowania krajowego z budżetu państwa

Access:

Otwarty

Object collections:

Last modified:

Oct 2, 2020

In our library since:

Jun 10, 2019

Number of object content downloads / hits:

113

All available object's versions:

https://rcin.org.pl/publication/90494

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