Abstract
Discrete model of flexible cable with large sag is established by using multiple rigid body-spherical hinge model, and dynamic equation of that discrete model is derived according to dynamics theory of multiple rigid body system. Displacement and velocity of system are revised to elininate violation phenomenon of the differential-algebra equation in numerical simulation based on the theory of generalized inverse of matrices. Numerical simulation proves the validity of our method.
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Foundation item: the National Natural Science Foundation of China (59635140); Doctor Point Fund df National Education Committee; Parent Company Fund of Aviation Industry
Biography: Li Bin (1963≈)
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Bin, L., Yinghui, L. & Xuegang, Y. Dynamic modeling and simulation of flexible cable with large sag. Appl Math Mech 21, 707–714 (2000). https://doi.org/10.1007/BF02460190
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DOI: https://doi.org/10.1007/BF02460190
Key words
- flexible cable with large sag
- multiple rigid body system dynamics
- numerical simulation
- violation correction