Natural damped vibrations of anisotropic composite box beams. 1. Statement of the problem
DOI:
https://doi.org/10.21638/11701/spbu01.2016.206Abstract
Research of natural vifrations of anisotropic composite box beams are an interesting practical problem, which previously was not discussed in detail. The authors of previously published works, as a rule, are generally limited to the consideration of the two-three lower vibrations’ modes. Such a small number of modes analyzed does not allow an overall picture arising in such structures modal interactions involving multiple mutual transformations. The latter circumstance was the reason for writing this paper. Its first part contains a detailed description of the mathematical model of the problem, while the second part shows the results of calculations and their detailed discussion. Refs 11. Figs 2.Downloads
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References
Литература
1. Librescu L., Song O. Thin-Walled Composite Beams. Theory and Application. Springer, 2006. 600 p.
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References
1. Librescu L., Song O., Thin-Walled Composite Beams. Theory and Application (Springer, 2006).
2. Librescu L., Song O., “Free Vibration of Anisotropic Composite Thin-Walled Beams of Closed Cross-Section Contour”, Journal of Sound and Vibration 167(1), 129–147 (1993).
3. Armanios E. A., Badir A. M., “Free Vibration Analysis of Anisotropic Thin-Walled Closed-Section Beams”, AIAA Journal 33(10), 1905–1910 (1995).
4. Lentz W.K., Armanios E. A., Badir A. M., “Constrained Optimization of Thin-Walled Composite Beams with Coupling”, Proceedings of the AIAA/ASME/ASCE/AHS/ASC 37th Structures, Structural Dynamics and Materials Conference 2326–2334 (1996).
5. Suresh R., Malhotra S.K., “Vibration and Damping Analysis of Thin-Walled Box Beams”, Journal of Sound and Vibration 215(2), 201–210 (1998).
6. Ryabov V.M., Yartsev B.A., “Damped Vibration of Composite Thin-Walled Beams. I. Statement of the Problem”, Vestnik St. Petersburg University. Ser. 1 Issue 2(9), 91–97 (2001) [in Russian].
7. Rabotnov Yu.N., Mechanics of Deformable Solids (Moscow, 1979) [in Russian].
8. Treviso A., Van Genechten B., Mundo D., Tournour M., “Damping in composite materials: Properties and models”, Composites. Part B 78, 144–152 (2015).
9. Daugavet I.K., The Theory of Approximate Methods. Linear Equations (St. Petersburg, 2006) [in Russian].
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11. Berezin I. S., Zhidkov N.P. Methods of Computations 2 (Moscow, Fizmatlit, 1962) [in Russian].
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Published
2020-10-19
How to Cite
Ryabov, V. M., & Yartsev, B. A. (2020). Natural damped vibrations of anisotropic composite box beams. 1. Statement of the problem. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 3(2), 1. https://doi.org/10.21638/11701/spbu01.2016.206
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Mathematics
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Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.
