I need to verify my models in ABAQUS, so I need a paper as a reference, what I need is properties of the beam's material, clear thermal loads, and the frequency changes.
thanks in advance.
Dear Mohammad,
here is a link to a review paper that discusses temperature effects on vibration properties of civil structures:
Article Temperature effect on vibration properties of civil structur...
this paper reviews existing literature on the variation of vibration properties of civil structures under changing temperature conditions, mostly bridges though.
As far as I know, depending on the intensity of temperature variation, little frequency changes are observed when the temperature varies in a normal manner. having this in mind, among ambient conditions, temperature holds a high hand, and it's influence on vibration properties is more than others.
you can check the references of the suggested article, or the papers that have cited this article to find more.
Wish you success in finding what you are looking for.
Hello Mohammad Maldar
Yes. Temperature variation will affect the natural frequency of vibration of a beam. If a beam is restrained at its ends then a temperature increase will induce compressive force (stress) in the beam. It is well known that compression decreases the vibration frequency while tension increases the vibration frequency.
The temperature induced compression is simply
N = EAα ΔT /L
It has been shown in a paper by this author " Anyaegbunam, A.J. and Osadebe, N.N. (2002) The dynamic stiffness matrix of a beam-column element, Proceedings 5th Inter. Conf. on Struct. Eng. Analysis and Modelling (SEAM5), Sept., Accra, Ghana, vol. 1, pp. 17-34. " available at https://www.researchgate.net/profile/Amaechi_Anyaegbunam/contributions
that w1N = w1(1 - λ)0.5
Where w1N = fundamental frequency of vibration of a beam - column (beam carrying compressive force) and w1 = fundamental frequency of vibration of a beam.
λ = N/Ncr
N = axial compressive load acting on element, Ncr = critical axial load of the element.
In summary temperature change will not significantly alter the natural frequency of vibration of a beam.
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