A new type of conserved quantity induced by Mei symmetry of Appell equation

Li-Qun, Jia; Xie, Yongjun; Zhang, Yaoyu; Jin-Chao, Cui; Xin-fang, Yang

doi:10.7498/aps.59.7552

Cited by 12 publications

(1 citation statement)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…On the other hand, the microhardness is linked to the proportion of sp3/sp2 bonded carbon. Ti incorporation result in the partial conversion of sp3 bonds converted to sp2 bonds, decreasing the sp3/sp2 ratio, thus causing a lower microhardness [7]. However, the microhardness does not continually reduce with the Ti concentration over 3at.%,but became steady with the Ti concentration varying in a certain range(3at.%~14at.%).…”

Section: Methodsmentioning

confidence: 99%

The Lubrication Properties of Diamond-Like Carbon Coatings in Engine Oil

Nie

Liu

Watanabe³

2009

MSF

View full text Add to dashboard Cite

Ti-doped diamond-like carbon(Ti-DLC) coatings and undoped diamond-like carbon(DLC) coatings were synthesized by unbalanced magnetron sputtering using carburized Chromium Molybdenum Steels (SCM415) as substrates. Nanocomposite structure coatings with metal carbides nanocrystals uniformly dispersing in the amorphous carbon matrix were obtained by the optimization of the kinds of doped metals and deposited parameters. This kind of nanocomposite structure permits improved hardness while maintaining a lower residual stress and getting thick coatings. The friction coefficients of Ti doping DLC coatings are relatively lower compared with undoping DLC coatings in engine oil. The analysis on the wear surface of coatings have indicated that: the surface of DLC doped with metal absorbs more elements from the engine oil, which indicates that the doping of metal can improve the affinity of the coating for the engine oil, enhance the formation of lubrication oil films, and reduce the friction coefficient thereby.

show abstract

Section: Methodsmentioning

confidence: 99%

The Lubrication Properties of Diamond-Like Carbon Coatings in Engine Oil

Nie

Liu

Watanabe³

2009

MSF

View full text Add to dashboard Cite

show abstract

Lie symmetry and approximate Hojman conserved quantity of Appell equations for a weakly nonholonomic system

et al. 2012

View full text Add to dashboard Cite

For a weakly nonholonomic system, the Lie symmetry and approximate Hojman conserved quantity of Appell equations are studied. Based on the Appell equations for a weakly nonholonomic system under special infinitesimal transformations of a group in which the time is invariable, the definition of the Lie symmetry of the weakly nonholonomic system and its first-degree approximate holonomic system are given. With the aid of the structure equation that the gauge function satisfies, the exact and approximate Hojman conserved quantities deduced directly from the Lie symmetry are derived. Finally, an example is given to study the exact and approximate Hojman conserved quantity of the system.

show abstract

Special Lie symmetry and Hojman conserved quantity of Appell equations for a Chetaev nonholonomic system

et al. 2013

View full text Add to dashboard Cite

A special Lie symmetry and Hojman conserved quantity of the Appell equations for a Chetaev nonholonomic system are studied. The differential equations of motion and Appell equations of the Chetaev nonholonomic system are established. Under the special Lie symmetry group transformations in which the time is invariable, the determining equation of the special Lie symmetry of the Appell equations for a Chetaev nonholonomic system is given, and the expression of the Hojman conserved quantity is deduced directly from the Lie symmetry. Finally, an example is given to illustrate the application of the results.

show abstract

A new type of conserved quantity induced by Mei symmetry of Appell equation

Cited by 12 publications

References 15 publications

The Lubrication Properties of Diamond-Like Carbon Coatings in Engine Oil

The Lubrication Properties of Diamond-Like Carbon Coatings in Engine Oil

Lie symmetry and approximate Hojman conserved quantity of Appell equations for a weakly nonholonomic system

Special Lie symmetry and Hojman conserved quantity of Appell equations for a Chetaev nonholonomic system

Contact Info

Product

Resources

About