An exact series solution for free vibration of cylindrical shell with arbitrary boundary conditions
Journal Title: Вісник Тернопільського національного технічного університету - Year 2018, Vol 89, Issue 1
Abstract
Simple accurate formulas for the natural frequencies of circular cylindrical shells are presented for modes in which transverse deflection dominates. Based on the Donnell-Mushtari thin shell theory the equations of motion of the circular cylindrical shell are introduced, using series expansion for axial coordinate and Fourier series for the circumferential direction, a simple explicit solution is obtained. Also, the influence of deformation component is investigated, it is shown that it can be neglected. Good agreement with experimental data and FEM is shown. The advantage of a current approach over the existing formulas is simplicity in programming.
Authors and Affiliations
Yaroslav Dubyk, Igor Volodirovich Orynyak, Oleksii Ishchenko
Keywords
Related Articles
- EP ID EP289582
- DOI 10.33108/visnyk_tntu2018.01.079
- Views 37
- Downloads 0
Methodology for the experimental research of reinforced cylindrical shell forced oscillations
In the paper the methodology for experimental studies of forced oscillations of a horizontally oriented cylindrical shell which is reinforced from the inside by stringers and bulkheads using the servo-hydraulic test mach...
Determination of rational structural parameters of devices for polymer recycling
The method of definition of rational structural parameters of gear rolls (step and angle of teeth profile, radius of curvature, the depth of the channel) was developed for such a stress-strain state of a polymeric materi...
Summarising of the polyparametric functional sets according to own elements of the hybrid Fourier – legendre – eulerian operator in the polar axis segment [R0, R3]
Efficient introduction of composites in modern technological processes requires to be aware of their physical-technological parameters, foremost in stationary operating regimes, in which they operate after sharp temperat...
Mechanical properties of γ -TiAl alloy after shot peening
Currently, the alloys based on the titanium aluminide are in the great demand in the aerospace industry. This research project studies the mechanical properties of the γ-TiAl alloy with a high content of niobium and the...
Robust stability of linear control system with matrix uncertainty
The work is devoted to working out of new methods for analysis of robust stability and robust stabilization of linear dynamic systems. Sufficient stability conditions of the zero solution are formulated for a linear syst...