Dynamic Analysis of Two-Degree-of-Freedom Oblique Impact System With Non-Fixed Impact Positions

JIN Li; LU Qi-shao; WANG Qi

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Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(7): 810-818

JIN Li, LU Qi-shao, WANG Qi. Dynamic Analysis of Two-Degree-of-Freedom Oblique Impact System With Non-Fixed Impact Positions[J]. Applied Mathematics and Mechanics, 2005, 26(7): 810-818.

Citation:

JIN Li, LU Qi-shao, WANG Qi. Dynamic Analysis of Two-Degree-of-Freedom Oblique Impact System With Non-Fixed Impact Positions[J]. Applied Mathematics and Mechanics, 2005, 26(7): 810-818.

Citation:

JIN Li, LU Qi-shao, WANG Qi. Dynamic Analysis of Two-Degree-of-Freedom Oblique Impact System With Non-Fixed Impact Positions[J]. Applied Mathematics and Mechanics, 2005, 26(7): 810-818.

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Dynamic Analysis of Two-Degree-of-Freedom Oblique Impact System With Non-Fixed Impact Positions

School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China

Received Date: 2003-05-16
Rev Recd Date: 2005-03-15
Publish Date: 2005-07-15

Abstract

Abstract

The dynamic behavior of a two-degree-of-freedom oblique impact system consisted of two pendulums with non-fixed impact positions is investigeated. The relations between the restitution coefficient, the friction coefficient, as well as other parameters of the system and the states before or after impact, are clarified in this oblique impact process. The existence criterion of single impact periodic-n subharmonic motions was deduced based on the Poincar map method and the oblique impact relations with non-fixed impact positions. The stability of these subharmonic periodic motions was analyzed by the Floquet theory, and the formulas to calculate the Floquet multipliers were given. The validity of this method is shown through numerical simulation. At the same time, the probability distribution of impact positions in this oblique system with non-fixed impact positions is analyzed.
- impact with non-fixed position,
- oblique impact,
- subharmonic motion,
- existence,
- stability,
- probability distribution

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References(8)

References

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