Abstract
This chapter is devoted to the study of oscillations of shells supported by transversal or longitudinal stiffening ribs. The relationships between the forces and the deformations of the middle surface of the shell proposed by V.V. Novozhilov and L.I. Balabukh [83] are used. The main advantage of these equations is that in them Betty’s law is observed very precisely and thus the dynamic stiffness matrix is symmetric, and therefore it is possible to use all results that have been obtained above.
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References
Novozhilov, V.V.: Theory of Thin Shells. Sudpromgis, Leningrad (Russian) (1962)
Zhermen, P.: Mechanics of Medium. Mir, Moscow (Russian) (1965)
Kempner, M.L., Soboleva O.N.: Oscillations of Cylindrical Shell Supported with Longitudinal Ribs with Asymmetrical Structure. In: Novosti Vysshei shkoly, Mechanical engineering, 7, Moscow (Russian) pp. 29–32 (1975)
Mac-Donald, D.: Problem of natural oscillations for the supported cylindrical shells. Rocket Engineering and Astronautics, 8, Mir, Moscow (Russian) (1970)
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Banakh, L.Y., Kempner, M.L. (2010). Vibrations of Regular Ribbed Cylindrical Shells. In: Vibrations of mechanical systems with regular structure. Foundations of Engineering Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03126-7_11
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DOI: https://doi.org/10.1007/978-3-642-03126-7_11
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