Literature Cited
I. I. Artobolevskii, Yu. I. Bobrovnitskii, and M. D. Genkin, Introduction to Acoustic Machine Dynamics [in Russian], Nauka, Moscow (1979).
V. V. Bolotin, Dynamic Stability of Elastic Systems [in Russian], Gostekhizdat, Moscow (1956).
A. I. Vesnitskii, S. V. Krysov, and A. I. Potapov, “Parametric instability of longitudinal vibrations of beams with nonstationary constraints,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 3, 166–174 (1983).
A. I. Vesnitskii, S. V. Krysov, and S. R. Shokhin, “Parametric excitation of pulses in distributed mechanical systems with nonstationary boundaries,” Zh. Prikl. Mekh. Tekh. Fiz., No. 4, 145–151 (1976).
A. I. Vesnitskii and A. I. Potapov, “Wave phenomena in one-dimensional systems with moving boundaries (review),” Dinamika Sistem, No. 13, 38–88 (1978).
A. I. Vesnitskii and A. I. Potapov, “Some properties of wave systems with nonstationary boundaries,” Radiotekh. Elektron.,24, No. 5, 990–999 (1979).
G. S. Gorelik, “Resonance effects in linear systems with periodically varying parameters,” Zh. Tekh. Fiz.,4, No. 10, 1783–1817 (1934);5, No. 2, 195–215 (1935);5, No. 3, 489–517 (1935).
N. E. Kochin, “Torsional vibrations of crankshafts,” Prikl. Mat. Mekh.,2, No. 1, 3–28 (1934).
J. Matthews and R. Walker, Mathematical Methods in Physics [Russian translation], Atomizdat, Moscow (1972).
A. I. Vesnitskii, L. É. Kaplan, S. V. Krysov, and G. A. Utkin, Self-Consistent Problems in Dynamics of One-Dimensional Systems with Moving Loads and Constraints, [in Russian], Preprint NIRFI (Scientific-Research Institute of Radiophysics), No. 159, Gor'kii (1982).
V. A. Taft, Spectral Methods in Analysis of Nonstationary Linkages and Systems [in Russian], Énergiya, Moscow (1978).
A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1972).
H. Schmidt, Parametric Vibrations [Russian translation], Mir, Moscow (1978).
Additional information
Gor'kii State University. Translated from Prikladnaya Mekhanika, Vol. 20, No. 9, pp. 103–110, September, 1984.
Rights and permissions
About this article
Cite this article
Vesnitskii, A.I., Miloserdova, I.V. & Potapov, A.I. Forced vibrations and resonance of shaft under nonstationary load. Soviet Applied Mechanics 20, 868–874 (1984). https://doi.org/10.1007/BF00888494
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00888494