| Abstract: | This paper investigates structure equation and Mei conserved quantityof Mei symmetry of Appell equations for non-Chetaev nonholonomicsystems. Appell equations and differential equations of motion fornon-Chetaev nonholonomic mechanical systems are established. A newexpression of the total derivative of the function with respect totime $t$ along the trajectory of a curve of the system is obtained,the definition and the criterion of Mei symmetry of Appell equationsunder the infinitesimal transformations of groups are also given. Theexpressions of the structure equation and the Mei conserved quantityof Mei symmetry in the Appell function are obtained. An example isgiven to illustrate the application of the results. |
