Second-order constraints for equations of motion of constrained systems
Second-order constraints for equations of motion of constrained systems
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DOI：
10.1109/3516.712120
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发表时间：
1998-09
影响因子：
6.4
通讯作者：
Ye-hwa Chen
中科院分区：
文献类型：
--
作者：
Ye-hwa Chen
在Udwadia和Kalaba方程的激励下，建议人们可以在更全局的意义上利用二阶约束形式。二阶形式在推导不耦合且无拉格朗日乘子的运动方程时特别有用。作为一个示范，概述了将二阶形式纳入马吉方程和拉格朗日方程的过程。我们同时考虑完整和非完整的情况。
Motivated by the Udwadia and Kalaba equation, it is suggested that one can take the advantage of the second-order form of constraint in a more global sense. The second-order form is especially useful in deriving equations of motion that are uncoupled and Lagrangian multiplier free. As a demonstration, the procedure of incorporating the second-order form into the Maggi's equation and Lagrange's equation is outlined. We consider both holonomic and nonholonomic cases.