Abstract
The multi-degree-freedom nonholonomic constraint systems were analyzed using method of canonical coordinates. The theorem and characteristic equations of the canonical coordinate’s equations for multi-degree-freedom nonholonomic systems are obtained. The conserved quantities and general solutions of the systems are deduced directly by choosing appropriate canonical coordinates. An example is given to illustrate application of the results.
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Acknowledgments
This work has been partially supported by the National Natural Science Foundation of China (Grant No. 11472247), the Program for Changjiang Scholars and Innovative Research Team in University, China (Grant No. IRT13097), and the Key Science and Technology Innovation Team Project of Zhejiang Province, China (Grant No. 2013TD18).
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Gao, HF., Fu, JL. & Gao, F. Analysis of multi-degree-freedom nonholonomic constraint mechanical systems using canonical coordinate’s method. Indian J Phys 93, 759–763 (2019). https://doi.org/10.1007/s12648-018-1338-6
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DOI: https://doi.org/10.1007/s12648-018-1338-6