Forced periodic vibrations of an elastic system with elastico-plastic damping
Krejčí, Pavel
Applications of Mathematics, Tome 33 (1988), p. 145-153 / Harvested from Czech Digital Mathematics Library
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We prove the existence and find necessary and sufficient conditions for the uniqueness of the time-periodic solution to the equations $u_{tt} - \Delta_xu \pm F(u) = g(x,t)$ for an arbitrary (sufficiently smooth) periodic right-hand side $g$, where $\Delta_x$ denotes the Laplace operator with respect to $x\in \Omega \subset R^N, N\geq 1$, and $F$ is the Ishlinskii hysteresis operator. For $N=2$ this equation describes e.g. the vibrations of an elastic membrane in an elastico-plastic medium.

Publié le : 1988-01-01
Classification:  35B10,  35L70,  73D35,  73E50,  74H45,  74H99 
@article{104295,
     author = {Pavel Krej\v c\'\i },
     title = {Forced periodic vibrations of an elastic system with elastico-plastic damping},
     journal = {Applications of Mathematics},
     volume = {33},
     year = {1988},
     pages = {145-153},
     zbl = {0649.73029},
     mrnumber = {0940713},
     language = {en},
     url = {http://dml.mathdoc.fr/item/104295}
}

Krejčí, Pavel. Forced periodic vibrations of an elastic system with elastico-plastic damping. Applications of Mathematics, Tome 33 (1988) pp. 145-153. http://gdmltest.u-ga.fr/item/104295/

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