NOETHER’S THEORY FOR NONHOLONOMIC DYNAMICAL SYSTEMS RELATIVE TO NON-INERTIAL REFERENCE FRAME
NOETHER'S THEORY FOR NONHOLONOMIC DYNAMICAL SYSTEMS RELATIVE TO NON-INERTIAL REFERENCE FRAME
摘要
The new variational principle of Gauss's form of nonlinear nonholonomic nonpotential system relative to non-inertial reference frame is established by constructing generalized inertial potentials. Naether's theorem and Naether's inverse theorem of the system above is presented and proved. Finally, one example is given to illustrate the application.
The new variational principle of Gauss's form of nonlinear nonholonomic nonpotential system relative to non-inertial reference frame is established by constructing generalized inertial potentials. Naether's theorem and Naether's inverse theorem of the system above is presented and proved. Finally, one example is given to illustrate the application.
参考文献2
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1Luo Shao-kai. Generalized Noether’s theorem of nonholonomic nonpotential system in noninertial reference frames[J] 1991,Applied Mathematics and Mechanics(9):927～934
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2Docent Dj. S. Djukic,Prof. B. D. Vujanovic. Noether’s theory in classical nonconservative mechanics[J] 1975,Acta Mechanica(1-2):17～27
