Analytical Solutions for Response of Collision of Particle With Conical Rod Caused by Longitudinal Vibration

BAO Si-yuan; DENG Zi-chen

Volume 27 Issue 7

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(7): 812-818

BAO Si-yuan, DENG Zi-chen. Analytical Solutions for Response of Collision of Particle With Conical Rod Caused by Longitudinal Vibration[J]. Applied Mathematics and Mechanics, 2006, 27(7): 812-818.

Citation:

BAO Si-yuan, DENG Zi-chen. Analytical Solutions for Response of Collision of Particle With Conical Rod Caused by Longitudinal Vibration[J]. Applied Mathematics and Mechanics, 2006, 27(7): 812-818.

Citation:

BAO Si-yuan, DENG Zi-chen. Analytical Solutions for Response of Collision of Particle With Conical Rod Caused by Longitudinal Vibration[J]. Applied Mathematics and Mechanics, 2006, 27(7): 812-818.

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Analytical Solutions for Response of Collision of Particle With Conical Rod Caused by Longitudinal Vibration

BAO Si-yuan¹,
DENG Zi-chen^1,2

1.
Department of Engineering Mechanics, Northwestern Polytechnical University, Xi'an 710072, P. R. China;

Received Date: 2005-09-26
Rev Recd Date: 2006-03-28
Publish Date: 2006-07-15

Abstract

Abstract

The objective is to present 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.
- conical rod,
- longitudinal impact,
- mode shape,
- superposition method

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References(11)

References

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