SOLVING THE EQUATION OF VIBRATION OF A LATTICE USING THE METHOD OF SEPARATION OF VARIABLES (FOURIER METHOD)
Article Sidebar
Main Article Content
Abstract
This paper examines the nonlinear oscillations of a rigid body mounted on viscoelastic supports. The equations of motion of the system are derived from Lagrange’s equations of the second kind for systems with a finite number of degrees of freedom. A solution method for the problem is developed, numerical results are obtained, and the influence of nonlinearity on displacement amplitudes is evaluated.
Downloads
Article Details
Section
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors retain the copyright of their manuscripts, and all Open Access articles are disseminated under the terms of the Creative Commons Attribution License 4.0 (CC-BY), which licenses unrestricted use, distribution, and reproduction in any medium, provided that the original work is appropriately cited. The use of general descriptive names, trade names, trademarks, and so forth in this publication, even if not specifically identified, does not imply that these names are not protected by the relevant laws and regulations.
How to Cite
References
1. Vibrations in technology: Handbook: In 6 volumes. Vol. 6. Protection from vibrations and shocks M.: Mechanical Engineering, 1981. 456 p.
2. Tokarev M. F., Talitsky E. N., Frolov V. A. Mechanical effects and protection of electronic equipment: Textbook for universities. Moscow: Radio and Communications, 1984. 224 p.
3. Nashif A., Jones D., Henderson J. Vibration damping. Moscow: Mir Publ., 1988.-448 p.
4. Teshaev M. K., Safarov I. I., Mirsaidov M. Oscillations of multilayer viscoelastic composite toroidal pipes // Journal of the Serbian Society for Computational Mechanics. 2019. Vol. 13, No. 2. P. 104-115. DOI: 10.24874/jsscm.2019.13.02.08.
5. Gludkin O. P. Methods and devices of testing RES and EVS. M.: Higher School, 1991.-336s.
6. Gludkin O. P., Engalychev A. N., Korobov A. I., Tregubov Yu. V. Tests of radioelectronic, electronic computing equipment and test equipment. Moscow: Radio and Communications, 1987. 272 p.
7. Lysenko A.V., Goryachev N. V., Grab I. D., Kemalov B. K., Yurkov N. K. A brief overview of simulation modeling methods // Modern information technologies. 2011. No. 14. pp. 171-176.