Exact Solutions of the Vibration Problem of Beam Structures

Alexander V. Chekanin

doi:10.4028/www.scientific.net/AMM.390.242

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 390Exact Solutions of the Vibration Problem of Beam...

Exact Solutions of the Vibration Problem of Beam Structures

Abstract:

The article deals with the actual problem of improving the accuracy of determining the dynamic characteristics of beam structures. To solve such problems the displacement method is used. Defining matrices are calculated with the Godunovs scheme. Numerical solutions in this case can be obtained practically with any accuracy within accepted hypotheses of the mathematical model of the calculated object. This suggests that the resulting solutions are standard. The examples of determining the natural frequencies of vibrations of beam structures that demonstrate an extremely high accuracy of the proposed algorithm are given.

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Periodical:

Applied Mechanics and Materials (Volume 390)

Pages:

242-245

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.390.242

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Online since:

August 2013

Authors:

Alexander V. Chekanin

Keywords:

Exact Solution, Finite Element Method (FEM), Natural Frequency, Timoshenko Beam, Vibrations of Beam Structures

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References

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