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

• Authors: M. Kozień
• Languages of publication: 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.

Keywords

EN

02.30.Jr; 43.40.Ar; 43.40.Cw; 45.20.da

Discipline

• 45.20.da: Forces and torques
• 02.30.Jr: Partial differential equations

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2013
• Volume: 123
• Issue: 6
• Pages: 1029-1033

Dates

published

2013-06

Contributors

author

M. Kozień

• Institute of Applied Mechanics, Cracow University of Technology, al. Jana Pawła II 37, 31-864 Kraków, Poland

References

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Identifiers

DOI

10.12693/APhysPolA.123.1029