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], 561-698 s. ; 24 cm

Type of object:

Journal/Article

Abstract:

Various procedures for deriving equations of motion of constrained mechanical systems are discussed and compared. A geometric interpretation of the procedures is given, stressing both linear and nonlinear nonholonomic constraints. Certain qualitative differences are analyzed between models of nonholonomic dynamics based on different procedures. Two algorithms of particular interest are: (1) the d'Alembert principle and its Appell-Tshetajev generalization, and (2) the variational Hamiltonian principle with subsidiary conditions. It is argued that the Hamiltonian principle, although not accepted in traditional technical applications, is more promising in generalizations concerning systems with higher differential constraints, or the more general functional constraints appearing in feedback and control systems.

Relation:

Archives of Mechanics

Volume:

39

Issue:

6

Start page:

645

End page:

662

Detailed Resource Type:

Journal

Resource Identifier:

oai:rcin.org.pl:87441

Source:

IPPT PAN, call no. P.262 ; click here to follow the link

Language:

eng

Language of abstract:

eng ; pol ; rus

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Institute of Fundamental Technological Research of the Polish Academy of Sciences

Original in:

Library of the Institute of Fundamental Technological Research of The Polish Academy of Sciences

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open