Dear All,
I would like to model a large structure under a shaker table experimentally. However, suppose the structure is massive, such as a high rise building, and I would like to reduce the size of the structure by scaling it down to fit on my shaker table which has a limited size. Could I now scale down the seismic force that I would apply to the structure as well by using some method? IF any one has any ideas, could you point me in the right direction?
Thanks and Regards,
Dimuth
The scaling is not only possible, but is highly recommended. For such a case you have to specify all independent parameters, e.g. length, mass, and frequency (for your problem it these are probably sufficient). Then make dimensional analysis of other parameters, like material densities, Young's module, duration time, seismic P or S wave velocity, etc.
Thank you Sergey, I had found a good paper on this:
Stavridis, A., Koutromanos, I. and Shing, P.B. (2011) ‘Shake-table tests of a three-story reinforced concrete frame with masonry infill walls’, Earthquake Engineering & Structural Dynamics, 41(6), pp. 1089–1108. doi: 10.1002/eqe.1174.
The question in using similarity laws in these kinds of scaled experiments is, how do you take into account the "size effect" in material properties of concrete-like quasi brittle materials (strength, Young's modulus)? Is it "significant enough" to be considered?
Reza, I am not too sure as I am also trying to get my head around it. In some cases, they have used micro-concrete and steel wire in place of real concrete and rebar which has different E and yield values compared to concrete used in normal sized models.
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