holonomic system with unilateral constraints;
Appell equation;
structural equation of Mei symmetry;
Mei conserved quantity;
CHETAEV NONHOLONOMIC CONSTRAINTS;
FORM INVARIANCE;
MECHANICAL SYSTEMS;
DYNAMICAL-SYSTEMS;
HAMILTON SYSTEMS;
PHASE-SPACE;
D O I:
暂无
中图分类号:
O4 [物理学];
学科分类号:
0702 ;
摘要:
Structural equation and Mei conserved quantity of Mei symmetry for Appell equations in holonomic systems with unilateral constraints are investigated. Appell equations and differential equations of motion for holonomic mechanic systems with unilateral constraints are established. The definition and the criterion of Mei symmetry for Appell equations in holonomic systems with unilateral constraints under the infinitesimal transformations of groups are also given. The expressions of the structural equation and Mei conserved quantity of Mei symmetry for Appell equations in holonomic systems with unilateral constraints expressed by Appell functions are obtained. An example is given to illustrate the application of the results.