Abstract
This paper is devoted to solving the problem of motion of a rigid body with a cylindrical surface on a plane. The plane moves according to the harmonic law in the horizontal direction. The phenomenon of vibrational translation and its nature are described. The applicability of the problem and the main weak points in its study are determined. The law of motion of a cylindrical body on a vibrating base is derived, and the algorithm for solving the problems in MatLab is developed. The graphs of velocity variation in time are plotted for different frequency values. The results are presented in the form of the frequency response.
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REFERENCES
Housner, J., The behavior or inverted pendulum structures during earthquakes, Bull. Seismol. Soc. Am., 1963, vol. 53, no. 2, p. 403.
Sinopoli, A., Earthquakes and large block monumental structures, Ann. Geofis., 1995, vol. 38, nos. 5–6, p. 737.
Sinopoli, A.A., Semi-analytical approach for Masonry arch dynamics, in Masonry Structures: Between Mechanics and Architecture, Aita, D., Pedemonte, O., and Williams, K., Eds., Basel: Springer, 2015, p. 77.
Lourenco, P., Peña, F., Prieto-Castrillo, F., and Campos Costa, A., On the dynamics of rocking motion of single rigid-block structures, Earthquake Eng. Struct. Dyn., 2007, p. 2383.
Sinopoli, A. and Basili, M., Masonry walls as orthotropic no tension structures, in Proceedings of 7th International Conference on Structural Analysis of Historic Constructions SAHC, 2010, Shanghai, China.
Karapetyan, A.V., and Munitsyna, M.A., Dynamics of a parallelepiped on a horizontal vibrating plane, Autom. Remote Control, 2015, vol. 76, no. 3, pp. 394–404.
Bolotnik, N.N., Gradetskii, V.G., Zhukov, A.A., Kozlov, D.V., Smirnov, I.P., and Chashchukhin, V.G., Mobile space microrobot: Concept and application prospects, Cosmic Res., 2018, vol. 57, no. 2, pp. 115–120.
Bolotnik, N.N., Nunuparov, A.M., and Chashchukhin, V.G., Capsule vibrating robot with electromagnetic drive and return spring: dynamics and motion control, Izv. Akad. Nauk, Teor. Syst. Upravl., 2016, no. 6, p. 146.
Munitsyn, A.I., Vibrations of a rigid body with cylindrical surface on a vibrating foundation, Mech. Solids, 2017, vol. 52, no. 6, pp. 675–685.
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Translated by E. Oborin
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Salimov, M.S., Ramzin, N.S. Dynamics of a Rigid Body with a Cylindrical Surface on a Vibrating Plane. J. Mach. Manuf. Reliab. 49, 653–658 (2020). https://doi.org/10.3103/S1052618820080129
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DOI: https://doi.org/10.3103/S1052618820080129