Free Vibrations of Open Cylindrical Shells with Various Elliptic Cross Sections

Author:

Grigorenko O. Ya.,Borysenko M. Yu.,Boychuk O. V.,Vasil’eva L. Ya.

Publisher

Springer Science and Business Media LLC

Reference14 articles.

1. V. D. Budak, A. Ya. Grigorenko, M. Yu. Borisenko, and E. V. Boychuk, “Determination of the natural frequencies of an elliptic shell of constant thickness by the finite-element method”, Mat. Met. Fiz.-Mekh Polya, 57, No. 1, 145–152 (2014); English translation: J. Math. Sci., 212, No. 2, 182–192 (2016); https://doi.org/10.1007/s10958-015-2658-0.

2. V. D. Budak, A. Ya. Grigorenko, M. Yu. Borisenko, and O. V. Boychuk, “Influence of the eccentricity of an elliptic shell on the distribution of its dynamic characteristics”, Visn. Kyiv. Nats. Univ. im. T. Shevchenka, Ser. Fiz.-Mat. Nauky, No. 2, 23–28 (2015).

3. A. Ya. Grigorenko and T. L. Efimova, “Using spline-approximation to solve problems of axisymmetric free vibration of thickwalled orthotropic cylinders”, Prikl. Mekh., 44, No. 10, 74–85 (2008); English translation: Int. Appl. Mech., 44, No. 10, 1137– 1147(2008); https://doi.org/10.1007/s10778-009-0126-6.

4. O. Ya. Grigorenko, O. Yu. Parkhomenko, L. Ya. Vasil’eva, and M. Yu. Borisenko, “Solution of the problem of free vibrations of a nonthin orthotropic shallow shell of variable thickness in the refined statement”, Mat. Met. Fiz.-Mekh Polya, 59, No. 1, 121–131 (2016); English translation: J. Math. Sci., 229, No. 3, 253–268 (2018); https://doi.org/10.1007/s10958-018-3675-6.

5. Ya. M. Grigorenko and Yu. A. Avramenko, “Refined stress analysis of orthotropic toroidal shells”, Prikl. Mekh., 49, No. 4, 99–114 (2013); English translation: Int. Appl. Mech., 49, No. 4, 461–474 (2013); https://doi.org/10.1007/s10778-013-0580-z.

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