Reduced-order models for nonlinear vibrations, based on natural modes: the case of the circular...
-
Upload
nathan-tate -
Category
Documents
-
view
214 -
download
2
Transcript of Reduced-order models for nonlinear vibrations, based on natural modes: the case of the circular...
Reduced-order models for nonlinear vibrations, based on natural modes: the case of the circular cylindrical shell
by Marco Amabili
Philosophical Transactions AVolume 371(1993):20120474
June 28, 2013
©2013 by The Royal Society
Circular cylindrical shell and cylindrical coordinate system.
Marco Amabili Phil. Trans. R. Soc. A 2013;371:20120474
©2013 by The Royal Society
First natural frequency of modes with a different number n of circumferential waves of the 0/30° laminated circular cylindrical shell; calculations with model M=4; mode n=1 is torsional.
Marco Amabili Phil. Trans. R. Soc. A 2013;371:20120474
©2013 by The Royal Society
Mode shapes for the radial displacement w of the 0/30° laminated circular cylindrical shell; calculations with model M=4.
Marco Amabili Phil. Trans. R. Soc. A 2013;371:20120474
©2013 by The Royal Society
Frequency–response curve of the 0/30° laminated circular cylindrical shell (n=3) obtained with the natural mode reduced-order model (thick lines) versus the results presented in Amabili [25]
with model M=2 (37 degrees of freedom) shown in thin lines.
Marco Amabili Phil. Trans. R. Soc. A 2013;371:20120474
©2013 by The Royal Society
Frequency–response curve of the 0/30° laminated circular cylindrical shell obtained by using the present model (natural mode reduced-order model, thick lines) versus the results presented in
Amabili [25] with models M=2 and M=4 shown in thin lines; n=3.
Marco Amabili Phil. Trans. R. Soc. A 2013;371:20120474
©2013 by The Royal Society
Frequency–response curve of the 0/30° laminated circular cylindrical shell (n=3) obtained with the natural mode reduced-order model.
Marco Amabili Phil. Trans. R. Soc. A 2013;371:20120474
©2013 by The Royal Society