Mathematical Problems in Engineering / 2017 / Article / Tab 4

Research Article

The Modified Fourier-Ritz Approach for the Free Vibration of Functionally Graded Cylindrical, Conical, Spherical Panels and Shells of Revolution with General Boundary Condition

Table 4

Comparison of the first nine frequencies (Hz) of functionally graded cylindrical shells with different power-law index .

MethodMode number
12345678

0Ref [1]152.93152.93220.06220.06253.78253.78383.55383.56
Ref [9]152.89152.89219.97219.97253.79253.79383.44383.44
Present152.89152.89220.12220.12253.77253.77383.95383.95
0.6Ref [1]152.25152.25219.86219.86252.17252.17383.39383.40
Ref [27]152.02152.02219.54219.54251.91251.91382.87382.87
Ref [9]152.07152.07219.59219.59251.96251.96382.95382.95
Present152.08152.08219.73219.83251.95251.95383.46383.46
1Ref [1]151.77151.77219.56219.56251.14251.14382.97382.97
Ref [9]151.52151.52219.19219.19250.81250.81382.35382.35
Present151.53151.53219.33219.33250.80250.80382.85382.85
5Ref [1]148.97148.97218.87218.88244.40244.40382.46382.47
Ref [27]148.50148.50218.16218.16243.73243.73381.26381.26
Ref [9]148.53148.53218.21218.21243.76243.76381.33381.33
Present148.54148.54218.35218.35243.75243.75381.82381.82
20Ref [1]146.46146.46215.90215.90239.84239.84377.34377.34
Ref [27]146.21146.21215.50215.50239.54239.54376.69376.69
Ref [9]146.24146.24215.55215.55239.57239.57376.76376.76
Present146.25146.25215.69215.69239.56239.56377.23377.23

Article of the Year Award: Outstanding research contributions of 2020, as selected by our Chief Editors. Read the winning articles.