A Field Integration Method for a Nonholonomic Mechanical System of Non-Chetaev's Type

A field integration method for a nonholonomic mechanical system of non-Chetaev's type is studied. The differential equations of the motion of the system are established. The solution of the corresponding holonomic system for the nonholonomic system is obtained by the field method. The restriction of nonholonomic constrained to initial conditions is added and the solution of the nonholonomic mechanical system of non-Chetaev's type is provided. An example is presented to illustrate the application of the results.