I would like to know about conditions under which the flutter phenomenon happens in a beam or column, given loads conditioning as follows:
1- The beam or column subjected to a follower force.
2- The beam or column subjected to an axial dynamic loading
What happen to the column during the flutter phenomenon?
How does the structure frequency vary?
In order to investigate this phenomenon, which of following should be considered? w^2 or w^4?
In the matter of frequency is it complex?
During flutter phenomenon or buckling, are the component of frequency are negative, positive or zero?
Is it possible to consider different flutter mode for a beam?
Meaning for different values of frequency which are close each other in size?
Is it possible to take the smallest value as the first mode and consider higher values as higher modes of flutter?
Dear scholar, If a column is loaded suddenly and then the load released, the column can sustain a much higher load than its static buckling load. This can happen in a long, unsupported column. The duration of compression at the impact end is the time required for a stress wave to travel up the rod to the other (free) end and back down as a relief wave. Maximum buckling occurs near the impact end at a wavelength much shorter than the length of the rod, and at a stress many times the buckling stress of a statically-loaded column. There are many research which have been conducted on different mode of flutter phenomenon, an example can be found at:http://dx.doi.org/10.1590/S1679-78252014000500004. What do you mean by w by the way?
Dear Ma Chau Khun,
Thank you so much. I will read the article ASAP. I meant that to investigate this phenomenon, which order of frequencies should be considered! (omega^2 or omega^4?!!!!!)
It appear to me that a basic review on the subject you are looking for is e.g. on a MSc thesis I supervised years ago. Try to download it from
https://fenix.tecnico.ulisboa.pt/downloadFile/395137461037/thesis_Pedro_PASTILHA.pdf
It reviewed the subject and present basic MatLab codes (should work in nowadays MatLab versions).
Best wishes
Dear Navid:
Flutter and divergence under follower forces have been treated in the following papers:
1)Afagh, F.F. and Leipholz, H.H.E.; 1990; "Dynamic Response of Elastic Rods Subjected to Uniformly Distributed, Tangential Follower Forces"; Ingenious Archive, Vol. 60, pp. 165-175.
2) Afagh, F.F. and Lee, X.L.; 1991; "On the Dynamic Response of Certain Separable and Non-Selfadjoint Systems"; Archive of Applied Mechanics, Vol. 61, No 6/7, pp. 422-437.
Both of which have references to further resources.
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