Literature Cited
K. A. Barsukov and G. A. Grigoryan, “On the theory of a waveguide with moving boundaries,” Izv. Vyssh. Uchebn. Zaved., Radiofiz., No. 2, 280–285 (1976).
T. G. Besnitskaya and A. I. Besnitskii, “Forced vibrations and resonance in one-dimensional non-dispersive systems with moving boundaries,” Zh. Tekh. Fiz.,55, No. 12, 2312–2317 (1985).
A. I. Besnitskii, “Inverse problem for a one-dimensional resonator that changes size with time,” Izv. Vyssh. Uchebn. Zaved., Radiofiz., No. 10, 1538–1542 (1971).
A. I. Besnitskii and A. I. Potapov, “On certain properties of wave processes in one-dimensional mechanical systems of variable length,” Prikl. Mekh.,11, No. 4, 98–102 (1975).
A. I. Besnitskii, Theory of Vibrations of Distributed Mechanical Systems [in Russian], Pt. 2, Gor'kii Univ. (1977).
O. A. Goroshko and G. N. Savin, Introduction to the Mechanics of Deformable One-Dimensional Bodies of Variable Length [in Russian], Naukova Dumka, Kiev (1971).
Yu. A. Mitropol'skii, Problems of the Asymptotic Theory of Nonstationary Vibrations [in Russian], Nauka, Moscow (1964).
G. N. Savin and O. A. Goroshko, Dynamics of a Variable Length Filament [in Russian], Naukova Dumka, Kiev (1962).
Yu. P. Samarin and V. N. Anisimov, “Forced transverse vibrations of a flexible linkage during acceleration,” Izv. Vyssh. Uchebn. Zaved., Mashinostr., No. 12, 17–21 (1986).
L. E. El'sgol'ts, Differential Equations and Calculus of Variations [in Russian], Nauka, Moscow (1969).
Additional information
Kuibyshev Polytechnic Institute, Syzran'. Translated from Prikladnaya Mekhanika, Vol. 25, No. 9, pp. 115–121, September, 1989.
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Anisimov, V.N. Resonance properties of systems described by the wave equation and having moving boundaries. Soviet Applied Mechanics 25, 952–958 (1989). https://doi.org/10.1007/BF01959823
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DOI: https://doi.org/10.1007/BF01959823