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.
Keywords
References
[1] C.G. Boay. Frequency analysis of isotropic plates carrying a concentrated mass. Comp. Struct. , 56: 39- 48, 1995.[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
Jul 21, 2022
How to Cite
SUKHOROLSKY, Mykhailo; SHOPA, Tetyana.
The vibration of rectangular orthotropic plate with massive inclusions.
Computer Assisted Methods in Engineering and Science, [S.l.], v. 15, n. 3-4, p. 369-376, july 2022.
ISSN 2956-5839.
Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/745>. Date accessed: 23 dec. 2024.
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