I am using SIMULINK to simulate a structure reaction and i'm using a reduced scale model structure. I want to know how to reduce the seismic data so it can be adapted to my reduced scale model so I can obtain representative results.
we are working on vibration control using a magneto-rhelogical damper, in all the scientific paper a small MR damper is used, so most reserchers adopte the data structure (masse, damping, stifness) to the damper, exemple they use a 100 kg floor masse, when i try to use the same think, i get non representatif results, because the seismic data i use [t g] is not down scaled (is not adopte to the samll structure and the small damper) i want to know how to down scale the seismic data, so it will be adpted to my structure thank for reading my answer and hope i was more descriptive
If you are dealing with a scaled model, a couple of parameters should be scaled. Consider you are working with a scale factor of SF.
All lengths should be scaled by SF.
All times (including structural period) should be scaled by SF.
All accelerations should be scaled by 1/SF.
All forces should be scaled by SF^2.
All masses should be scaled by SF^3.
All displacements should be scaled by SF
So the scaling factor not only should be considered in the imposed ground acceleration, but on other parameters, for example in the yielding force of the MR damper.
For more details google "law of similitude" or find the following paper,
Carrillo J and Alcocer SM, "Experimental investigation on dynamic and quasi-static behavior of low-rise reinforced concrete walls," Earthquake Eng. Struct. Dyn., 2013; 42: 635-652.
You can see your first period of the structure and the corresponding acceleration from the design spectrum.
Then you can scale the maximum acceleration of your record to be equal to the design acceleration.
Simulation of the structure using Simulink in matlab you can see in the paper :
Nikos G. Pnevmatikos, Charis J. Gantes, “The influence of time delay and saturation capacity in control of structures under seismic excitations” Smart Structures and systems, An International Journal, Vol. 8, No. 5, pp 479-490, 2011.