Conformal invariance and conserved quantity of Mei symmetry for Appell equations in a nonholonomic system of Chetaev’s type

Zhang, Yaoyu; Fang, Zhang; Han, Yazhou; Li-Qun, Jia

doi:10.1007/s11071-014-1314-4

Cited by 8 publications

(3 citation statements)

References 32 publications

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“…On other hand, this inertia force and moment of inertia also can produce cone rotary vibration of the screen surface. In addition, the angle between upper and lower eccentric blocks along with the effect of gravity make the screen body producing complex rotary type vibration of three-dimensional excitation [5][6][7]. To explore the solution of the plugging screen in the vibration screen, modeling and simulation analysis on three-dimensional excitation circle vibration screen will been taken and the influence of the changes on the main parameters like the spring stiffness, the eccentric distance of partial block, the angular velocity of exciting motor and etc.…”

Section: __________mentioning

confidence: 99%

Modeling and Simulation Analysis on Threedimensional Excitation Circular Vibrating Screen

Yang¹,

Liu²,

Zhijin³

2017

dtetr

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The Structure model of three-dimensional excitation circular vibrating screen was established. Then a dynamics analysis based on Lagrange equation was used to analysis this model. MATLAB modeling was utilized to solve centroid differential equations of motion. Centroid movement and other dynamics numerical image of the vibration screen can be obtained by numerical simulation on MATLAB. Simulation analysis shows that the amplitude can be changed by adjusting exciting force of upper and lower eccentric. The path curves of any point in screen surface, as well as material trajectory of screen surface can be modified by adjusting spatial phase angle of upper and lower eccentric. Further alternating vibration effects on amplitude, vibration intensity and other parameters can be obtained through this method. It is a valuable reference to resolving issues of clogging screen mesh and feeding unevenly.

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Section: __________mentioning

confidence: 99%

Modeling and Simulation Analysis on Threedimensional Excitation Circular Vibrating Screen

Yang¹,

Liu²,

Zhijin³

2017

dtetr

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“…The key question to the conformal invariance of dynamics is to find out the conformal factor. Considerable progress has made over past years in the application of conformal invariance to mechanical systems [21][22][23][24][25][26]. However, the application of conformal invariance to thin elastic rod has never been investigated.…”

Section: Introductionmentioning

confidence: 99%

Conformal Invariance and Conserved Quantities for Lagrange Equation of Thin Elastic Rod

Wang

Feng

2017

Acta Phys. Pol. A

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Basing on the analytical mechanics methods, the Lagrangian equations of thin elastic rod is constructed. The definition of conformal invariance for the Lagrange mechanics of elastic rod is given. The criterions that conformal invariance of elastic rod is the Lie symmetry are obtained based on the Lie point transformation group. The structure equation and conserved quantity deduced from conformal invariance of elastic rod are constructed. Take twist rod as an example to illustrate the application of the results got in this paper.

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“…The key question to the conformal invariance of dynamics is to find out the conformal factor. Considerable progress has been made over past years in the application of conformal invariance to mechanical systems [20][21][22][23][24][25]45]. However, the application of conformal invariance to thin elastic rod has never been investigated.…”

Section: Introductionmentioning

confidence: 99%

Conformal invariance of Mei symmetry and conserved quantities of Lagrange equation of thin elastic rod

Wang

Xue

2015

Nonlinear Dyn

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By Kirchhoff dynamic analogy, the thin elastic rod static equals to rotation of rigid body dynamic. The analytical mechanics methods reflect their advantages in the study of the modeling and equilibrium and stability of elastic rod static, especially for the constrained problems. The Lagrangian structure of the equation of motion for elastic rod is deduced from the integral variational principle. The definition of conformal invariance of Mei symmetry of elastic rod in Lagrangian form is given. The determining equation of conformal invariance of Mei symmetry is obtained based on the Lie point transformation group. The relation between conformal invariance of Mei symmetry and Mei symmetry is discussed. The structure equation and conserved quantity by using the Lagrangian structure along arc coordinate deduced from conformal invariance of Mei symmetry of elastic rod are constructed. Take rod with circular cross section as example to illustrate the application of the results get in this paper. These conserved quantities will be helpful in the study of exact solutions and stability, as well as the numerical simulation of the thin elastic rod nonlinear mechanics.

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Conformal invariance and conserved quantity of Mei symmetry for Appell equations in a nonholonomic system of Chetaev’s type

Cited by 8 publications

References 32 publications

Modeling and Simulation Analysis on Threedimensional Excitation Circular Vibrating Screen

Modeling and Simulation Analysis on Threedimensional Excitation Circular Vibrating Screen

Conformal Invariance and Conserved Quantities for Lagrange Equation of Thin Elastic Rod

Conformal invariance of Mei symmetry and conserved quantities of Lagrange equation of thin elastic rod

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