MATEC Web Conf.
Volume 245, 2018International Scientific Conference on Energy, Environmental and Construction Engineering (EECE-2018)
|Number of page(s)||6|
|Section||BIM (Building Information Modeling)|
|Published online||05 December 2018|
Nonlinear oscillations of a viscoelastic cylindrical panel with concentrated masses
Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, Tashkent, Uzbekistan
2 Tashkent Financial institute, Tashkent, Uzbekistan
3 Peter the Great St. Petersburg Polytechnic University, Polytechnicheskaya st. 29, St. Petersburg, 195251, Russian Federation
* Corresponding author: firstname.lastname@example.org
The problems of oscillations of a viscoelastic cylindrical panel with concentrated masses are investigated, based on the Kirchhoff-Love hypothesis in the geometrically nonlinear statement. The effect of the action of concentrated masses is introduced into the equation of motion of the cylindrical panel using the δ function. To solve integro-differential equations of nonlinear problems of the dynamics of viscoelastic systems, a numerical method is suggested. With the Bubnov–Galerkin method, based on a polynomial approximation of the deflection, in combination with the suggested numerical method, the problems of nonlinear oscillation of a viscoelastic cylindrical panel with concentrated masses were solved. Bubnov–Galerkin’s convergence was studied in all problems. The influence of the viscoelastic properties of the material and concentrated masses on the process of oscillations of a cylindrical panel is shown.
© The Authors, published by EDP Sciences, 2018
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