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2013 | 123 | 6 | 1029-1033
Article title

Analytical Solutions of Excited Vibrations of a Beam with Application of Distribution

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EN
Abstracts
EN
In the paper, the analytical solutions of excited vibrations of the Bernoulli-Euler type beam in general case of external loading function is analyzed. The distribution theory is applied to formulate solution when the external functions are the concentrated-force type or the concentrated-moment type. Moreover, two types of excitation in time domain, harmonic and pulsed, are considered. Due to the superposition rule which can be applied in the analyzed linear case, any combination of external loading function can be formulated. The strict analytical solutions are shown for the case of simply supported beam. Describing the external load in the form of concentrated moments makes possible the analytical simulation of the reduction of vibrations of a beam by application of the piezoelectric elements which are in practice the source of external moment-type excitation put in relatively small area of action.
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Publisher

Year
Volume
123
Issue
6
Pages
1029-1033
Physical description
Dates
published
2013-06
Contributors
author
  • Institute of Applied Mechanics, Cracow University of Technology, al. Jana Pawła II 37, 31-864 Kraków, Poland
References
  • [1] H. Marcinkowska,Distributions, Sobolev Spaces, Differential Equations, PWN, Warsaw 1993, (in Polish)
  • [2] S.O.R. Moheimani, A.J. Fleming, Piezoelectric Transducers for Vibration Control and Damping, Springer, London 2006
  • [3] A. Brański, Acta Phys. Pol. A 121, A-126 (2012)
  • [4] A. Brański, G. Lipiński, Acta Phys. Pol. A 119, 936 (2011)
  • [5] M. Kozień, J. Wiciak, Acta Phys. Pol. A 116, 348 (2009)
  • [6] S. Kasprzyk,Acta Phys. Pol. A 119, 981 (2011)
  • [7] W. Łatas, P. Martynowicz, Engineering Modeling 44, 187 (2012), (in Polish)
  • [8] R. Łączkowski, Vibrations of Heat Turbines Elements, WNT, Warsaw 1974, (in Polish)
  • [9] S. Woroszył, Examples and Exercises on Theory of Vibrations, Part 2, Continuous Systems, PWN, Warsaw 1984, (in Polish)
  • [10] M. Kozień, J. Nizioł, Technical Trancactions 4-M, 1 (1993) (in Polish)
  • [11] A. Brański, M. Borkowski, S. Szela, Acta Phys. Pol. A 118, 17 (2010)
  • [12] A. Brański, S. Szela, Archiv. Acoust. 33, 521 (2008)
  • [13] M. Wiciak, Acta Phys. Pol. A 121, A-142 (2012)
  • [14] Z. Osiński,Theory of Vibrations, PWN, Warsaw 1980, (in Polish)
  • [15] J.W.S. Rayleigh, Theory of Sound, Dover Publications, New York 1945
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv123n614kz
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