Abstract
Exact solutions of the equations of vibrations of elastic bodies can be obtained, as a rule, for homogeneous bodies with a simple geometry.
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Green, A.E. (1962). On the linear theory of thin elastic shells. The Royal Society, 266 pp.
Lebedev, N.N. (1776). Special functions and their application. Dover Books in Mathematics, 336 pp.
Timoshenko, S. P., & Young, D. H. (1955). Vibration problems in engineering (Vol. IX, p. 468). New York: Van Nostrand.
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Fridman, V. (2018). Exact Solutions of Equations of Oscillation Theory. In: Theory of Elastic Oscillations. Foundations of Engineering Mechanics. Springer, Singapore. https://doi.org/10.1007/978-981-10-4786-2_7
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DOI: https://doi.org/10.1007/978-981-10-4786-2_7
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