Abstract
Thus the kinetic and potential energies of the string (Fig. 7.1) have the form \( T = \frac{1} {2}\int\limits_0^l {\dot u^2 dx,U = \frac{k} {2}\int\limits_0^l {(u_x )^2 dx} }\).
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© 2004 Springer-Verlag Berlin Heidelberg
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Arnold, V.I. (2004). The Theory of Oscillations. The Variational Principle (Continued). In: Lectures on Partial Differential Equations. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05441-3_7
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DOI: https://doi.org/10.1007/978-3-662-05441-3_7
Publisher Name: Springer, Berlin, Heidelberg
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