Theoretical Analysis of Multiple Impact of Three Balls System

Yong Li Fan; Jin Li Qiao; Kun Liu; Yan Yan Li; Dan Dan Kong; Yan Ping Zhang

doi:10.4028/www.scientific.net/AMM.378.46

Paper Titles

Prediction of Scattered Noise for Two Dimensional Non-Compact Cylinders with Compressible Calculations
p.19

The Gravity Effect of Mount Design on the Mirror Optical Aberration
p.26

Probabilistic Assessment of Power-Producing Components
p.33

The Evaluation of Solar Energy Availability at Ground Level Using Satellite Resources
p.40

Theoretical Analysis of Multiple Impact of Three Balls System
p.46

FEM Study of Thermal Stress Field of Wheel under Typical Braking Condition
p.51

Analysis and Calculation of Tracked Vehicle Steering-Load Based on Conditions of Tracks' Slip
p.55

Pavement Performance Prediction Model Based on Weibull Distribution
p.61

Topological Optimization Design of Top Beam of the Longmen Milling Machine Based on Hyperworks
p.65

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 378Theoretical Analysis of Multiple Impact of Three...

Theoretical Analysis of Multiple Impact of Three Balls System

Abstract:

An effective theoretical method is developed to analyze three-ball system at contact in a bidimensional case basing on the impact law. The accurate solutions of the post-velocity have been computed in the paper. With the increase of between BallII and Ball III, the post-velocity of Ball III will be less and less. In fact, in the case of , the three-ball system in the same plane is consistent with the three-ball system in co-linear, when , the impact is happened only between BallI and Ball II. It is proved that the vibrating frequency influences only the impact time and the displacement of each ball for the three-ball system in the plane with elastic impact, but can not affect the momentum transfer and the post-velocities of the three balls, and all possible rigid solutions for impact are the limits of the theoretical results in some parameters of the system actually.

You might also be interested in these eBooks

Applied Mechanics, Materials and Manufacturing

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volume 378)

Pages:

46-50

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.378.46

Citation:

Cite this paper

Online since:

August 2013

Authors:

Yong Li Fan, Jin Li Qiao, Kun Liu, Yan Yan Li, Dan Dan Kong, Yan Ping Zhang

Keywords:

Multiple Impacts, Numerical Model, Post Velocities, Rigid Bodies

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] F. Hermanm, M. Seitz, How does the ball-chain work? American J. of Physics, Vol. 50, No. 11, pp.977-981, (1982).

DOI: 10.1119/1.12936

Google Scholar

[2] Herrmann,F.; Schmalzle,P.: Simple explanation of a well-known collision experiment. Am J Phys 49(1981). pp.761-764.

DOI: 10.1119/1.12407

Google Scholar

[3] Singe J.L.; Griffith B.A.: Principles of mechanics. New York; McGraw-Hill (1959).

Google Scholar

[4] W.J. Stronge, Impact Mechanics, Cambridge University Press, (2000).

Google Scholar

[5] Brach R.M., Formulation of Rigid Body Impact Problems Using Generalized Coefficient, Int.J. Engng. Sci. Vol. 36: 61-71, (1998).

Google Scholar

[6] Bernard Brogliato, Nonsmooth Mechanics, SpringerPress, (1999).

Google Scholar

[7] W. Johnson, Simple linear impact, ImechE and UMIST. UMIST. IJMEE, Vol. 4, No. 2, pp.167-181, (1976).

Google Scholar

[8] Acary, V. and B. Brogliato (2003b). Toward a multiple impact law: the 3-ball chain example. In: Actes du sixi`eme colloque national de calculs des structures. Vol. 2. Imprimerie de l'Ecole Polytechnique. Giens, Var, France. p.337–344.

Google Scholar