Large Amplitude Free Flexural Vibration of Structures
Citations
288 citations
9 citations
Cites background from "Large Amplitude Free Flexural Vibra..."
...The impact of these nonlinearities on the dynamics of flexible beams and structures has been studied extensively, as reported in the review papers by Modi [24] and Pandalai [25]....
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3 citations
Cites background from "Large Amplitude Free Flexural Vibra..."
...The impact of these non-linearities on the dynamics of flexible beams and structures has been studied extensively, as reported in the review papers by Modi [24] and Pandalai [25]....
[...]
2 citations
Cites background from "Large Amplitude Free Flexural Vibra..."
...While the resulting non-linear equations of dynamics are solved in time-domain via perturbation, homotopy, or computational methods, this prior work [32] does not pursue the frequency domain investigation relevant to the present work....
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...The impact of these non-linearities on the dynamics of flexible beams and structures has been studied extensively, as reported in the review papers by Modi [31] and Pandalai [32]....
[...]
References
18 citations
"Large Amplitude Free Flexural Vibra..." refers background in this paper
...The f vs T behaviour as shown in the figure represents nonlinearity of the hardening or softening type depending upon whether the time for half-period TB is greater or less than the half-period T* corresponding to the linear theory [4]....
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...A typical plot of (bla)2 vs (cla) as given in [4], which gives the transition curve for an assumed initial amplitude of fA = 1....
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...) [2], [4] Softening type of nonlinearity or hardening type as in the case of cylindrical shells where the ratio of the axial to circumferential half-waves of the vibration mode is large....
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15 citations
Additional excerpts
...FLAT PLATES: [1], [2], [3] (Rectangular, circular, elliptical, triangular, skew, sandwich type, etc....
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7 citations