Abstract
This Chapter deals with small vibrations of mechanical systems having infinite number of degrees of freedom. It begins with the discrete model 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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© 2011 Springer-Verlag Berlin Heidelberg
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Le, K.C. (2011). Continuous Oscillators. In: Energy Methods in Dynamics. Interaction of Mechanics and Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22404-1_3
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DOI: https://doi.org/10.1007/978-3-642-22404-1_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-22403-4
Online ISBN: 978-3-642-22404-1
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