| ANALYTICAL SOLUTIONS FOR RESPONSE OF COLLISION OF PARTICLE WITH CONICAL ROD CAUSED BY LONGITUDINAL VIBRATION |
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| 作者姓名： | 鲍四元 邓子辰 |
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| 作者单位： | Department of Engineering Mechanics Northwestern Polytechnical University Xi'an 710072 P. R. China，Department of Engineering Mechanics Northwestern Polytechnical University，Xi'an 710072，P. R.China，State Key Laboratory of Structural Analysis of Industrial Equipment，Dalian University of Technology，Dalian 116023 P. R. China |
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| 基金项目： | 国家高技术研究发展计划(863计划);教育部跨世纪优秀人才培养计划;国家重点实验室基金 |
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| 摘 要： | 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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| 关 键 词： | 锥形杆 纵向碰撞 叠加法 解析法 |
| 收稿时间： | 2005-09-26 |
| 修稿时间： | 2006-03-28 |
Analytical solutions for response of collision of particle with conical rod caused by longitudinal vibration |
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| Si-yuan Bao,Zi-chen Deng Doctor.ANALYTICAL SOLUTIONS FOR RESPONSE OF COLLISION OF PARTICLE WITH CONICAL ROD CAUSED BY LONGITUDINAL VIBRATION[J].Applied Mathematics and Mechanics(English Edition),2006,27(7):927-934. |
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| Authors: | Si-yuan Bao Zi-chen Deng Doctor |
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| Institution: | 1. Department of Engineering Mechanics, Northwestern Polytechnical University,Xi'an 710072, P. R. China
2. Department of Engineering Mechanics, Northwestern Polytechnical University,Xi'an 710072, P. R. China;State Key Laboratory of Structural Analysis of Industrial Equipment,Dalian University of Technology, Dalian 116023 P. R. China |
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| 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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| Keywords: | conical rod longitudinal impact mode shape superposition method |
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