Abstract
In this paper, the definitions of Nielsen's and Euler's operators of higher order are presented. These operators are concerned in analysis for systems with holonomic constraints and non-holonomic constraints of higher order. Some theorems that indicating relation between the two operators are established. Moreover, using the theorems the new equations of mechanical systems with constraints of higher order are derived. Finally, an example is given.
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Communicated by Hsuch, Dah-wei
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Zheng-fu, L., Fu-sheng, J. & Feng-xiang, M. Nielsen's and Euler's operators of higher order in analytical mechanics. Appl Math Mech 7, 53–63 (1986). https://doi.org/10.1007/BF01896252
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DOI: https://doi.org/10.1007/BF01896252