Energy integrals for the systems with nonholonomic constraints of arbitrary form and origin

Mušicki, Djordje; Zeković, D.N.

doi:10.1007/s00707-015-1403-6

Cited by 3 publications

(2 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Incorporating: λ 1 , λ 2 , λ 3 , and λ 4 as four new unknowns, (7) and (9) give ten equations with ten variables. Solving these equations, the expressions for Lagrange multipliers and equations of motion, i.e.…”

Section: Constraints and Lagrange Equations Of The First Kindmentioning

confidence: 99%

“…Moreover, stability of the specific mechanical system was discussed using different approaches. Namely, unlike the papers [8] and [9], where the relative advantages and disadvantages of various analytical methods of nonholonomic systems are briefly presented, the problem of the instability of the equilibrium state of a scleronomic mechanical system with linear homogeneous constraints are considered in [10], and the problem of the stability of the equilibrium state in the case with holonomic mechanical systems in [11].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analysis of the motion and stability of the holonomic mechanical system in the arbitrary force field

Vesović¹,

Petrović²,

Radulović³

2021

FME Transactions

View full text Add to dashboard Cite

In order to give an insight into the work of the machine before the production and assembly and to obtain good analysis, this paper presents detailed solutions to the specific problem occured in the field of analytical mechanics. In addition to numerical procedures in the paper, a review of the theoretical foundations was made.Various types of analysis are very common in mechanical engineering, due to the possibility of an approximation of complex machines. For the proposed system, Lagrange's equations of the first kind, covariant and contravariant equations, Hamiltons equations and the generalized coordinates, as well as insight in Coulumb friction force are provided.Also, the conditions of static equilibrium are solved numerically and using intersection of the two curves. Finally, stability of motion for the disturbed and undisturbed system was investigated.

show abstract

Section: Constraints and Lagrange Equations Of The First Kindmentioning

confidence: 99%