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NOETHER’S THEORY FOR NONHOLONOMIC DYNAMICAL SYSTEMS RELATIVE TO NON-INERTIAL REFERENCE FRAME
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作者 俞慧丹 张解放 许友生 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1993年第6期527-535,共9页
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 th... 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. 展开更多
关键词 generalized potential non-inertial reference frame nonholonomic nonpotential system gauss's variational principle noether's theorem noether's inverse theorem
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非完整系统相对于非惯性系的Noether理论 被引量:7
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作者 俞慧丹 张解放 许友生 《应用数学和力学》 EI CSCD 北大核心 1993年第6期499-506,共8页
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.
关键词 非完整系统 非惯性系 NOETHER理论
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