Editors: | Kongoli F, Marquis F, Lu L, Xia H, Masset P, Rokicki P |
Publisher: | Flogen Star OUTREACH |
Publication Year: | 2016 |
Pages: | 180 pages |
ISBN: | 978-1-987820-56-0 |
ISSN: | 2291-1227 (Metals and Materials Processing in a Clean Environment Series) |
In engineering and our daily life, wrinkles normally appear thin membranes or plates in tension, such as the punching of iron sheets, wrinkling of soybean milk and skins. In this study, the Foppl-von Karman plate theory is adopted to investigate the wrinkling of membrane structures, and the model is simplified as an annular thin plate under the tension action of axi-symmetric loads. At first, the Foppl-von Karman plate equation including geometric nonlinearity is derived according to the principle of least potential energy. Then the finite difference method is used to calculate the wrinkle amplitude and radial displacement of the plate. Moreover, the commercial software Ansys is adapted to perform the numerical simulation. The results show that the reason of wrinkles in the plate is that there are annular compressive stresses in a certain area. This investigation is beneficial to the wrinkling process of plates, shells and membranes. It has also laid the foundation of accurate control, stability and vibration cybernetics of these slender structures.