1. Date of download: 10/18/2017
Copyright © ASME. All rights reserved.
From: Wave Based Method for Free Vibration Analysis of Cylindrical Shells With Nonuniform Stiffener Distribution
J. Vib. Acoust. 2013;135(6): doi: /
Figure Legend:
Displacement of annular circular plate

2. Date of download: 10/18/2017
Copyright © ASME. All rights reserved.
From: Wave Based Method for Free Vibration Analysis of Cylindrical Shells With Nonuniform Stiffener Distribution
J. Vib. Acoust. 2013;135(6): doi: /
Figure Legend:
Ring stiffened cylindrical shells

3. Date of download: 10/18/2017
Copyright © ASME. All rights reserved.
From: Wave Based Method for Free Vibration Analysis of Cylindrical Shells With Nonuniform Stiffener Distribution
J. Vib. Acoust. 2013;135(6): doi: /
Figure Legend:
Displacement constraints and force constraints

4. Date of download: 10/18/2017
Copyright © ASME. All rights reserved.
From: Wave Based Method for Free Vibration Analysis of Cylindrical Shells With Nonuniform Stiffener Distribution
J. Vib. Acoust. 2013;135(6): doi: /
Figure Legend:
Interaction forces between stiffener and adjacent bays of cylindrical shells

5. Date of download: 10/18/2017
Copyright © ASME. All rights reserved.
From: Wave Based Method for Free Vibration Analysis of Cylindrical Shells With Nonuniform Stiffener Distribution
J. Vib. Acoust. 2013;135(6): doi: /
Figure Legend:
Fundamental frequency variations versus the depth of the first stiffener for given d1 with SD-SD, F-F, SD-F boundary conditions: (a) SD-SD (b) F-F (c) SD-F —▪— d1 =  —•— d1 =  —▴— d1 =  —▾— d1 =  —◂— d1 =  —▸— d1 =  —♦— d1 =  —★— d1 =  —◊— d1 = 0.0514

6. Date of download: 10/18/2017
Copyright © ASME. All rights reserved.
From: Wave Based Method for Free Vibration Analysis of Cylindrical Shells With Nonuniform Stiffener Distribution
J. Vib. Acoust. 2013;135(6): doi: /
Figure Legend:
Beam mode frequency variations versus the depth of the first stiffener for given d1 with SD-SD, F-F, SD-F boundary conditions: (a) SD-SD (b) F-F (c) SD-F —▪— d1 =  —•— d1 =  —▴— d1 =  —▾— d1 =  —◂— d1 =  —▸— d1 =  —♦— d1 =  —★— d1 =  —◊— d1 = 0.0514

7. Date of download: 10/18/2017
Copyright © ASME. All rights reserved.
From: Wave Based Method for Free Vibration Analysis of Cylindrical Shells With Nonuniform Stiffener Distribution
J. Vib. Acoust. 2013;135(6): doi: /
Figure Legend:
Uniform and nonuniform rings spacing and eccentricity distribution

8. Date of download: 10/18/2017
Copyright © ASME. All rights reserved.
From: Wave Based Method for Free Vibration Analysis of Cylindrical Shells With Nonuniform Stiffener Distribution
J. Vib. Acoust. 2013;135(6): doi: /
Figure Legend:
Natural frequency variations versus the depth of the first stiffener of equally rings spacing (d1 =  ) and nonuniformly eccentricity distribution with SD-SD, SD-F, F-F boundary conditions: (a) SD-SD (b) F-F (c) SD-F —▪— n = 1 —•— n = 2 —▴— n = 3 —▾— n = 4 —◂— n = 5 —▸— n = 6