Structural Equation and Mei Conserved Quantity of Mei Symmetry for Appell Equations in Holonomic Systems with Unilateral Constraints

摘要

Structural equation and Mei conserved quantity of Mei symmetry for Appell equations in holonomicsystems with unilateral constraints are investigated.Appell equations and differential equations of motion for holonomicmechanic systems with unilateral constraints are established.The definition and the criterion of Mei symmetry forAppell equations in holonomic systems with unilateral constraints under the infinitesimal transformations of groups arealso given.The expressions of the structural equation and Mei conserved quantity of Mei symmetry for Appell equationsin holonomic systems with unilateral constraints expressed by Appell functions are obtained.An example is given toillustrate the application of the results.