On stability of stationary motion of a nonconservative nonholonomic rheonomic system

Djuric, Dragutin

doi:10.1016/j.euromechsol.2007.03.005

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2020

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“…The general theory of linear and nonlinear, rheonomic and scleronomic, ideal and nonideal constraints and the corresponding nonholonomic systems is discussed in many recent papers and textbooks. From the existing extensive list of literature we have chosen publications, particularly close to the work of Bilimovich [2,3], see [1,6,9,11,10,14,13,16,17,18,19,20] and references therein.…”

Section: Introductionmentioning

confidence: 99%

On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich

Borisov,

Tsiganov

2020

Preprint

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In 1913 A.D. Bilimovich observed that rheonomic linear and homogeneous in generalized velocities constraints are ideal. As a typical example, he considered rheonomic nonholonomic deformation of the Euler equations which scleronomic version is equivalent to the nonholonomic Suslov system. For the Bilimovich system equations of motion are reduced to quadrature, which is discussed in rheonomic and scleronomic cases.

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Section: Introductionmentioning

confidence: 99%

On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich

Borisov,

Tsiganov

2020

Preprint

View full text Add to dashboard Cite

show abstract

On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich

Borisov

Tsiganov

2020

Theor appl mech (Belgr)

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In 1913 A. D. Bilimovich observed that rheonomic constraints which are linear and homogeneous in generalized velocities are ideal. As a typical example, he considered rheonomic nonholonomic deformation of the Euler equations whose scleronomic version is equivalent to the nonholonomic Suslov system. For the Bilimovithch system, equations of motion are reduced to quadrature, which is discussed in rheonomic and scleronomic cases.

show abstract

On stability of stationary motion of a nonconservative nonholonomic rheonomic system

Cited by 2 publications

References 2 publications

On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich

On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich

On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich

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