Abstract
The problems of oscillations of elastic bodies with simple homogeneous boundary conditions have been considered above. However, let is abandon this assumption and consider that boundary conditions can be complex (mixed) homogeneous and nonhomogeneous as well. Let us start for simplicity and obviousness with the simplest problem: the harmonic longitudinal vibrations of a rectilinear rod.
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References
Lurie, A. I. (2005). Theory of elasticity (p. 1050). Berlin: Springer.
Sviyazheninov E. D., & Fridman, V. M. (1990). Spectral method for solving the problem of vibrations of a complex geometric-shaped elastic body using fictitious domains. Proceedings of the U.S.S.R. Academy of Sciences, Mechanics of Solids, 5, 74–80 (in Russian).
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Fridman, V. (2018). Discontinuous Functions. Complicated Boundary Conditions. In: Theory of Elastic Oscillations. Foundations of Engineering Mechanics. Springer, Singapore. https://doi.org/10.1007/978-981-10-4786-2_6
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DOI: https://doi.org/10.1007/978-981-10-4786-2_6
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