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Variational principles of second, first and intermediate kinds for non-holonomic mechanics 被引量:5

Variational principles of second, first and intermediate kinds for non-holonomic mechanics
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摘要 The differential variational principles of second kind for non-holonomic mechanics are given, from which a number of integral variational principles of second kind are set up. From the latter, the general relation of δq’-δq and the general form of integral variational principles of the first kind and intermediate kinds are derived. Thus not only all previous relations of δq-δq and integral variational principles are unified but also the existance of the variational principles of intermediate kinds are pointed out. The differential variational principles of second kind for non-holonomic mechanics are given, from which a number of integral variational principles of second kind are set up. From the latter, the general relation of δq′-δq and the general form of integral variational principles of the first kind and intermediate kinds are derived. Thus not only all previous relations of δq′-δq and integral variational principles are unified but also the existance of the variational principles of intermediate kinds are pointed out.
作者 朱如曾
出处 《Science China Mathematics》 SCIE 1999年第5期546-551,共6页 中国科学:数学(英文版)
基金 Project supported by the National Natural Science Foundation of China (Grant No. 19272064)
关键词 non-holonomic MECHANICS VARIATIONAL principle. non-holonomic mechanics variational principle
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