Stability and low-frequency oscillations of thin shells with entirely or partially negative Gaussian curvature

Author:

Petrov M. B.

Publisher

Allerton Press

Subject

General Mathematics

Reference14 articles.

1. S. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells (McGraw-Hill, New York, 1959; Nauka, Moscow, 1966).

2. N. A. Alumyae, “Determination of the Critical Load for a Shell Outlined by a Hyperboloid of One Sheet,” Prikl. Mat. Mekh. 20(2), 397–408 (1956).

3. A. L. Gol’denveiser, V. B. Lidskii, and P. E. Tovstik, Free Oscillations of Thin Elastic Shells (Nauka, Moscow, 1979) [in Russian].

4. P. E. Tovstik, Stability of Thin Shells. Asymptotic Methods (Nauka, Moscow, 1995) [in Russian].

5. T. V. Liiva and P. E. Tovstik, “On the Linear Approximation Stability of Shells of Revolution of Negative Gaussian Curvature,” in: Problems of Mechanics of Deformable Solids, pp. 231–238 (Sudostroenie, Leningrad, 1970).

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