In this paper, the dynamics of the spatial impact of a slender beam is analyzed. The equations of motion are calculated using Kane’s impact method. The generalized momentum and generalized impulse of the beam are considered to find the equations of motion of the beam. The frictional phenomenon at the contact point is analyzed. For the case of impact without slipping, it is used the assumption that the tangential component of the velocity of separation is null. In the case with slipping, the tangential impulse (at the plane of impact) is computed. The sliding direction after impact is calculated. A simulation of the impact of beam with a surface is developed and the velocity of separation, force of impact and kinetic energy of the beam after impact are studied for different incident angles of the beam. The incident angle is varied from 0 deg to 57 deg. The results are function of the incident angle of impact.
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e-mail: barbuio@eng.auburn.edu
e-mail: marghdb@eng.auburn.edu
e-mail: uvaidya@eng.uab.edu
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October 2003
Technical Papers
Spatial Impact of a Slender Beam
Horatiu Barbulescu,
e-mail: barbuio@eng.auburn.edu
Horatiu Barbulescu
Department of Mechanical Engineering, Auburn University, Auburn, AL 36849
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Dan B. Marghitu,
e-mail: marghdb@eng.auburn.edu
Dan B. Marghitu
Department of Mechanical Engineering, Auburn University, Auburn, AL 36849
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Uday Vaidya
e-mail: uvaidya@eng.uab.edu
Uday Vaidya
Department of Materials Science and Engineering, University of Alabama at Birmingham, Birmingham, AL 35294
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Horatiu Barbulescu
Department of Mechanical Engineering, Auburn University, Auburn, AL 36849
e-mail: barbuio@eng.auburn.edu
Dan B. Marghitu
Department of Mechanical Engineering, Auburn University, Auburn, AL 36849
e-mail: marghdb@eng.auburn.edu
Uday Vaidya
Department of Materials Science and Engineering, University of Alabama at Birmingham, Birmingham, AL 35294
e-mail: uvaidya@eng.uab.edu
Contributed by the Materials Division for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received by the Materials Division September 7, 2002; revision received June 17, 2003. Associate Editor: A. Pelegri and A. Karlsson.
J. Eng. Mater. Technol. Oct 2003, 125(4): 368-371 (4 pages)
Published Online: September 22, 2003
Article history
Received:
September 7, 2002
Revised:
June 17, 2003
Online:
September 22, 2003
Citation
Barbulescu, H., Marghitu, D. B., and Vaidya, U. (September 22, 2003). "Spatial Impact of a Slender Beam ." ASME. J. Eng. Mater. Technol. October 2003; 125(4): 368–371. https://doi.org/10.1115/1.1605110
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