Abstract
The objective is to present exact analytical solutions of longitudinal impact analysis for slender conical rods struck by a particle and a new method is proposed for conical rod-particle impact analysis, in which the superposition method is used and the response of the rod is presented. These analytical results are exact and can be used to validate the numerical methods or other analytical results. The numerical example shows that one of the advantages of the present method is that the analytical form is very simple. The result is that mass ratio and some variables describing the geometrical shape of rods such as taper, length and radius play an important role in impact dynamic system.
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Communicated by YUE Zhu-feng
Project supported by the National Natural Science Foundation of China (Nos.10372084 and 10572119); Program for New Century Excellent Talents of Education Ministry of China (No.NCET-04-0958) and the Open Foundation of State Key Laboratory of Structural Analysis of Industrial Equipment
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Bao, Sy., Deng, Zc. Analytical solutions for response of collision of particle with conical rod caused by longitudinal vibration. Appl Math Mech 27, 927–934 (2006). https://doi.org/10.1007/s10483-006-0708-z
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DOI: https://doi.org/10.1007/s10483-006-0708-z