Analysis of nonlinear chaotic vibrations of shallow shells of revolution by using the wavelet transform |
| |
Authors: | V A Krys’ko I V Papkova V V Soldatov |
| |
Institution: | (1) Center for Computer Research in Music and Acoustics (CCRMA), Stanford University, Stanford, CA 94302-8180, USA; |
| |
Abstract: | In the present paper, we study complex vibrations of flexible axisymmetric shallow shells under the action of transverse sing-alternating
pressure. In addition to the traditional methods of nonlinear dynamics, we for the first time use the wavelet transform to
analyze the transition from harmonic to chaotic vibrations. We analyze the use of Gauss-type wavelets (the order of derivatives
varies from m = 1 to m = 8) and also the use of the Morlet wavelet (both real and complex). We conclude that the use of the complex Morlet wavelet
is preferable to that of the Gaussian wavelets: the more zero moments a wavelet has, the better it describes the complex vibrations
of flexible shallow shells. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|