Experimental verification of the characteristics of vibrations of a composite cylindrical thin-walled shell with a rib

Аuthors

Dobryshkin A. Y.^*, Sysoev O. E., Sysoev E. O.

Komsomolsk-na-Amure State University, 27, Lenina str., Komsomolsk-on-Amur, 681013, Russia

*e-mail: wwwartem21@mail.ru

Abstract

The article performed an experimental verification of the oscillatory process characteristics obtained based on the mathematical model of oscillations of a thin-walled cylindrical shell by the improved Fourier series method. An analysis of the obtained data was conducted. A simple and at the same time accurate solution, based on the solution by the Fourier series method (FSM) applied in the analysis of the cylindrical shells vibrations is described. Hinged support is employed as fastening. The displacement function is expressed in each structural element in the form of superposition from the double Fourier series and several additional functions. The unknown deformation parameters are being found as generalized coordinates and determined by the Rayleigh-Ritz method. The use of The Fourier method application for the complex problem of a combined plate and shell connected by a symmetric and asymmetric boundary can be obtained without equations of motion or displacement expressions transforming.

The rigidity of fastening may significantly affect the modal characteristics of the conjugated structure. In the course of operation, the resonant heights are at their peak at the places of supporting. The stiffness changing changes only the plate vibration characteristics and does not affect the shell.

The obtained solution was verified by comparing theoretical results and experimental data. When conducting experimental studies, a non-contact frequency response meter of the HSV-2000 system was employed. It consists of an HSV2001/2002 controller, an HSV-800 laser unit and a rugged compact HSV-700 sensor head. The laser unit contains an interferometer and a low-power laser, as well as a Rohde & Schwarz RTB2002 oscilloscope.

The displacement components of a cylindrical shell and a circular plate are expanded as a rule independently from the boundary conditions as a superposition of a two-dimensional Fourier series and several additional functions. The unknown expansion coefficients are treated as generalized coordinates and determined by the well-known Rayleigh-Ritz procedure. The boundary conditions and conjunction conditions are being accounted for by employing reaction components of the hinge fastening. The acceptable accuracy of the current solutions is being demonstrated by comparison with the results obtained from the experimental studies. Satisfactory results, demonstrating the applicability of the resulting method, were obtained using the Polytec system.

Keywords:

analytical model, Fourier series method, cylindrical shell, transverse rib, experimental studies

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