PARTICULAR CASE OF Integration of equation for cylindrical panel’s fluctuation

Z.G. Ershova, V.I. Ershov

The article presents the investigation of low frequency fluctuations of slim cylindrical panel, with rectilinear border which is supposed free or faintly fastening. As a result forms of steadiness’ losses localize near the rectilinear border. Cases with border’s conditions for one from curvilinear borders was taken from stopping up group were considered in the article. Border effect in this location take place. Excluding of border effect’s integral from the border’s conditions on the curvilinear borders for the purpose of receiving asymptotical equation for parameter of frequency fluctuations of cylindrical panel was made. Comparison of asymptotical results and numerical results by run-through method and ultimate elements method is given.

Key words: cylindrical panel, low frequency fluctuations, asymptotical integration, border effect, border’s conditions.