The vibration of rectangular orthotropic plate with massive inclusions
Abstract
The problem on proper and forced vibrations of the loosely leant rectangular orthotropic plate with massive circular inclusion is considered in the paper. The flexure of the plate is described by modified equations of Timoshenko's theory of plates. Numerical solution of the problem is found by the indirect method of boundary elements based on the sequential approach to constructing generalized functions and on collocation method. The problem can be generalized on the case of arbitrary located inclusion and the arbitrary number of them. The influence of the mass of the massive circular inclusion on the proper frequencies of the plate is investigated.
References
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[2] C.G. Boay. Free vibration of rectangular isotropic plates with and without a concentrated mass. Comp. StTuct., 48: 529-533, 1993.
[3] N. Li, D.J. Gorman. Free vibration analysis of simply supported rectangular plates with internal line support along diagonals. J. Sound Vibr., 165: 361-368, 1993.
[4] O.S. Li. An exact approach for free vibration analysis of rectangular plates with line-concentrated mass and elastic line-support. Int. J. Mech. Sci. , 45, 669-685, 2003.
[5] B. Pelech, M. Sukhorolsky. Contact Problems of the Theory of Elastic Anisotropic Shells. Naukova Dumka, Kiev, 1980.
[6] B.P. Shastry, G. Venkateswara Rao. Free vibration of thin rectangular plates with arbitrary oriented stiffeners. Comp. Struct., 7: 627- 629, 1977.
[7] M. Sukhorolsky. About the using of formal small parameters in the problems of the theory of elasticity. Visnyk NU "LP", 248: 93-95, 1990.
[8] M. Sukhorolsky. About the order of local approximation of functions by the trigonometric polynomials – the partial sums of the operators of averaging-out. Ukr. Math. J. , 5: 706- 714, 1997.
[9] D. Zhou, T. Ji. The free vibration of rectangular plates with continuously distributed spring-mass. Int. J. Mech. Sci., 43: 6502-6520, 2006.
Published
2022-07-21
Issue
pp. 369-376
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Sukhorolsky, M., & Shopa, T. (2022). The vibration of rectangular orthotropic plate with massive inclusions. Computer Assisted Methods in Engineering and Science, 15(3-4), 369-376. https://cames3.ippt.pan.pl/index.php/cames/article/view/745
