非完整系统相对于非惯性系的Noether理论

Noether s Theory for Nonholonomic Dynamical Systems Relative to Noninertial Reference Frame

本文通过构造广义惯性势,建立起非完整系统相对于非惯性系的新型Gauss型变分原理.提出并证明了非完整系统相对于非惯性系的Noether定理和逆定理.最后举例说明其应用.

The new variational principle of Gauss's form of nonlinear nonholonomic nonpotential system relative to noninertial reference frame is established by constructing generalized inertial potentials. Noether's theorem and Noether's inverse theorem of the system above is presented and proved. Finally, one example is given to illustrate the application.