Nielsen’s and Euler’s Operators of Higher Order in Analytical Mechanics

Liu Zheng-fu; Jin Fu-sheng; Mei Feng-xiang

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Article Navigation > Applied Mathematics and Mechanics > 1986 > 7(1): 51-60

Liu Zheng-fu, Jin Fu-sheng, Mei Feng-xiang. Nielsen’s and Euler’s Operators of Higher Order in Analytical Mechanics[J]. Applied Mathematics and Mechanics, 1986, 7(1): 51-60.

Citation:

Liu Zheng-fu, Jin Fu-sheng, Mei Feng-xiang. Nielsen’s and Euler’s Operators of Higher Order in Analytical Mechanics[J]. Applied Mathematics and Mechanics, 1986, 7(1): 51-60.

Citation:

Liu Zheng-fu, Jin Fu-sheng, Mei Feng-xiang. Nielsen’s and Euler’s Operators of Higher Order in Analytical Mechanics[J]. Applied Mathematics and Mechanics, 1986, 7(1): 51-60.

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Nielsen’s and Euler’s Operators of Higher Order in Analytical Mechanics

1.
East-China Engineering Institute, Nanjing;
2.
Chang Jiang River Shipping Science Research Institute, Wuhan;
3.
Beijing Institute of Technology, Beijing

Received Date: 1984-07-31
Publish Date: 1986-01-15

Abstract

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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References(9)

References

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