I need to calculate the analytical relation for frequency of a cantilever composite beam, where one beam is prestressed on which an another non-prestressed beam is placed in a way to form the composite system. Can anyone tell if there is any such analtical expression or hint at possible way of derivation of it.
Hi , I recommend you to read m paper Dynamic behavior of pre-stressed fiber composite plate .
Thank you for the answers. The diagram is attached for better understanding. if we treat both beam as indiviual spring. How does we account for effective mass in this case, considering both beams are of different material.
Thank you. I am trying to understand Yasir work. I needed some more insight into the way analytical formulation is being done there.
About natural frequency of any vibration at all, longitudinal or bending?
Both bending and longitudinal. Or if either of one will also be fine.
It is doubtful that one beam may be prestressed and the other not, if the right end of the composite free. It would be rather logical that one beam is compressed and the other stretched. That is both prestressed.
Thank you. I am trying to model the phenomena of forming a composites using a beam which is already prestressed and having an another beam bonded to it which is non prestressed. And then we perform the modal analysis. Is this problem setup feasible.
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