Abstract
This Chapter deals with small vibrations of mechanical systems having infinite number of degrees of freedom. It begins with the discrete models of linear chain of oscillators and then moves to the continuum models of strings, beams, membranes, and plates. The last Section is devoted to the most general continuous oscillators. The vibrations of these oscillators can be found in form of the linear superposition of the standing waves leading to the eigenvalue problems in infinite dimensional spaces.
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© 2014 Springer International Publishing Switzerland
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Le, K.C., Nguyen, L.T.K. (2014). Continuous Oscillators. In: Energy Methods in Dynamics. Interaction of Mechanics and Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-05419-3_3
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DOI: https://doi.org/10.1007/978-3-319-05419-3_3
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-05418-6
Online ISBN: 978-3-319-05419-3
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