0
TECHNICAL PAPERS

One-to-One Internal Resonance of Symmetric Crossply Laminated Shallow Shells

[+] Author and Article Information
A. Abe

Department of Mechanical Engineering, Fukui University, Fukui 910-8507, Japan

Y. Kobayashi, G. Yamada

Division of Mechanical Science, Hokkaido University, Sapporo 060-8628, Japan

J. Appl. Mech 68(4), 640-649 (Aug 22, 2000) (10 pages) doi:10.1115/1.1356416 History: Received December 22, 1999; Revised August 22, 2000
Copyright © 2001 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Geometry of a laminated shallow shell and coordinate systems
Grahic Jump Location
Frequency-response curves for the shell with a/b=1,Rx/a=Ry/a=10 and h/a=0.01,(ω1=20.68,ω2=28.59,ω3=48.77,ω4=43.95 and F/ω22=0.015). (a) (1,1) mode, (b) (2,1) mode and (c) (3,1) mode.
Grahic Jump Location
Time histories at Ω/ω2=1.3 (upper branch) in Fig. 2. (a) (2,1) mode, (b) (1,1) and (3,1) modes, and (c) the amplitude of the shell at (x,y)=(a/4, b/2).
Grahic Jump Location
Frequency-response curves for the shell with a/b=0.704,Rx/a=Ry/a=10 and h/a=0.01 obtained by the two-mode analysis, (ω1=18.79,ω2=28.15,ω3=28.68, and F/ω22=0.01). (a) (2,1) mode and (b) (1,2) mode.
Grahic Jump Location
Frequency-response curves for the same shell as in Fig. 4 obtained by the three-mode analysis. (a) (1,1) mode, (b) (2,1) mode, and (c) (1,2) mode.
Grahic Jump Location
Lyapunov exponents in the region where stable periodic responses do not exist
Grahic Jump Location
Poincaré sections. (a) Ω/ω2=1.01200, (b) Ω/ω2=1.01250, (c) Ω/ω2=1.01263, and (d) Ω/ω2=1.01451.
Grahic Jump Location
Frequency-response curves for the shell with a/b=0.581,Rx/a=Ry/a=50, and h/a=0.01 obtained by the three-mode analysis, (ω1=7.075,ω2=16.69,ω3=16.90, and F/ω22=0.01). (a) (1,1) mode, (b) (2,1) mode, and (c) (1,2) mode.
Grahic Jump Location
Effect of damping ratio on frequency-response curves for the same shell as in Fig. 4 obtained by the three-mode analysis, (F/ω22=0.01, ○: Hopf bifurcation point, ▵: saddle-node bifurcation point and □: pitchfork bifurcation point). (a) (1,1) mode, (b) (2,1) mode, and (c) (1,2) mode.

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In