scholarly journals Form invariance and Noether symmetry of a relativistic mechanical system

2003 ◽  
Vol 52 (7) ◽  
pp. 1561
Author(s):  
Fang Jian-Hui ◽  
Yan Xiang-Hong ◽  
Chen Pei-Sheng
Keyword(s):  
Mechanical System ◽  
Noether Symmetry ◽  
Form Invariance

Form invariance of Raitzin's canonical equations of a nonholonomic mechanical system

2004 ◽  
Vol 14 (1) ◽  
pp. 12-16 ◽  
Author(s):  
Qiao Yong-Fen ◽  
Li Ren-Jie ◽  
Ma Yong-Sheng
Keyword(s):  
Mechanical System ◽  
Form Invariance

Form Invariance of Raitzin's Canonical Equations of Relativistic Mechanical System

2005 ◽  
Vol 43 (4) ◽  
pp. 607-610 ◽  
Author(s):  
Qiao Yong-Fen ◽  
Zhao Shu-Hong ◽  
Sun Fu-Tian
Keyword(s):  
Mechanical System ◽  
Form Invariance

Form invariance and Lie symmetry of variable mass nonholonomic mechanical system

2005 ◽  
Vol 26 (2) ◽  
pp. 204-209 ◽  
Author(s):  
Fang Jian-hui ◽  
Chen Pei-sheng ◽  
Zhang Jun
Keyword(s):  
Mechanical System ◽  
Variable Mass ◽  
Lie Symmetry ◽  
Form Invariance

scholarly journals Noether symmetry and Mei symmetry of a discrete holonomic mechanical system with variable mass

2014 ◽  
Vol 63 (17) ◽  
pp. 170202
Author(s):  
Wang Fei-Fei ◽  
Fang Jian-Hui ◽  
Wang Ying-Li ◽  
Xu Rui-Li
Keyword(s):  
Mechanical System ◽  
Variable Mass ◽  
Noether Symmetry ◽  
Mei Symmetry

scholarly journals Form invariance and Lie symmetry of relativistic mechanical system

2003 ◽  
Vol 52 (12) ◽  
pp. 2945
Author(s):  
Fang Jian-Hui ◽  
Chen Pei-Sheng ◽  
Zhang Jun ◽  
Li Hong
Keyword(s):  
Mechanical System ◽  
Lie Symmetry ◽  
Form Invariance

Weak Noether symmetry for a nonholonomic controllable mechanical system

2010 ◽  
Vol 19 (9) ◽  
pp. 090302 ◽  
Author(s):  
Xia Li-Li ◽  
Shan Ling-Fang
Keyword(s):  
Mechanical System ◽  
Noether Symmetry

Study of the dynamics of ТПА 350 automatic mill working stand elements

2020 ◽  
Vol 76 (8) ◽  
pp. 830-840
Author(s):  
S. R. Rakhmanov ◽  
V. V. Povorotnii
Keyword(s):  
Mechanical System ◽  
Dynamic Model ◽  
Maximum Amplitude ◽  
Calculation Scheme ◽  
Dynamic Loads ◽  
Forced Oscillations ◽  
Mass Model ◽  
Automatic Mill ◽  
Hollow Billet ◽  
Oscillation Movement

To form a necessary geometry of a hollow billet to be rolled at a pipe rolling line, stable dynamics of the base equipment of the automatic mill working stand has a practical meaning. Among the forces, acting on its parts and elements, significant by value short-time dynamic loads are the least studied phenomena. These dynamic loads arise during transient interaction of the hollow billet, rollers, mandrel and other mill parts at the forced grip of the hollow billet. Basing of the calculation scheme and dynamic model of the mechanical system of the ТПА 350 automatic mill working stand was accomplished. A mathematical model of dynamics of the system “hollow billet (pipe) – working stand” within accepted calculation scheme and dynamic model of the mechanical system elaborated. Influence of technological load of the rolled hollow billet variation in time was accounted, as well as variation of the mechanical system mass, and rigidity of the ТПА 350 automatic mill working stand. Differential equations of oscillation movement for four-mass model of forked sub-systems of the automatic mill working stand were made up, results of their digital calculation quoted. Dynamic displacement of the stand elements in the inter-roller gap obtained, which enabled to estimate the results of amplitude and frequency characteristics of the branches of the mill rollers setting. It was defined by calculation, that the maximum amplitude of the forced oscillations of elements of the ТПА 350 automatic mill working stand within the inter-roller gap does not exceed 2 mm. It is much higher than the accepted value of adjusting parameters of the deformation center of the ТПА 350 automatic mill. A scheme of comprehensive modernization of the rollers setting in the ТПА 350 automatic mill working stand was proposed. It was shown, that increase of rigidity of rollers setting in the ТПА 350 automatic mill working stand enables to stabilize the amplitude of forced oscillations of the working stand elements within the inter-rollers gap and considerably decrease the induced nonuniform hollow billet wall thickness and increase quality of the rolled pipes at ТПА 350.

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