A form of equations of motion of constrained mechanical systems

Sanh, Do

doi:10.15625/0866-7136/24/2/6614

Cited by 2 publications

(2 citation statements)

References 3 publications

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“…As known (7] the motion of a nonholonornic system could be written in the following form Doq = Qo, (2.16) where n° and Q 0 are the k x n and k x 1 matrices respectively, that are…”

Section: The Condition Of Exi Stence Of a First Integral For Nonholomentioning

confidence: 99%

The problem of first integral of nonholonomic systems

Sanh¹

2001

Vietnam J. Mech.

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ABSTRACT. In this pa.per the problem of first integrals of a. nonholonomic system is discussed. The a.im of this work is concentra. ted on finding the condition for existence of first integrals. The obtained results are applied for the construction of linear and quadratic integrals of nonholonomic systems. It obtains two important affirmations; they are: Any first integral could be treated as a particular nonholonomic constraint and contrarily, any nonholonomic constraint could be regarded as a first integral of the nonholonomic system.

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“…As known (7] the motion of a nonholonornic system could be written in the following form Doq = Qo, (2.16) where n° and Q 0 are the k x n and k x 1 matrices respectively, that are…”

Section: The Condition Of Exi Stence Of a First Integral For Nonholomentioning

confidence: 99%

The problem of first integral of nonholonomic systems

Sanh¹

2001

Vietnam J. Mech.

Self Cite

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“…In [3,4,5] the form of equations of motion in holonomic coordinates has constructed. The equations obtained give an effective tool for investigating complicated systems.…”

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confidence: 99%

A form of equations of motion of a mechanical system in quasi-coordinates

Sanh¹

2000

Vietnam J. Mech.

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ABSTRACT. In [3,4,5] the form of equations of motion in holonomic coordinates has constructed. The equations obtained give an effective tool for investigating complicated systems.In the present paper the form of equations of motion is written in quasi-coordinates. These equations are solved with respect to quasi-accelerations, which allow to define the motion of a holonomic and nonholonomic systems by a closed set of algebraic -differential equations. The reaction forces of constraints imposed on the system under consideration are calculated by means of a simple algorithm.For illustrating the eft'ectivness of this form of equations an example is considered.

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A form of equations of motion of constrained mechanical systems

Cited by 2 publications

References 3 publications

The problem of first integral of nonholonomic systems

The problem of first integral of nonholonomic systems

A form of equations of motion of a mechanical system in quasi-coordinates

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