As known, under the area of cyclic loading curves of shear walls gives the dissipated energy. Which kind of a way should i follow to find this area? Since I am studying its on my thesis, any suggestion would help me, thanks. (the sample curve was taken from Dazio, 2009)
first three cycles are discarded. You can calculate Energy dissipation in any one cycle after it.
Damping = (1/4pi) * (delta W/W) .
Delta Work done = Area under peak point and cycle (Common area)
W = complete work to Peak Energy level of cycle.
Hello
It is so simple but requires a little bit of coding. As you know, the hysteresis energy is the work that a structure or an element do to dissipate an amount of energy. So you can easily calculate the amount of work that has been done during the cycles.
W=SIGMA(Pbar*delta(Drift))
Pbar is the mean of the forces at the beginning and end of each step and delta(Drift) is the difference in drifts, happening is each step. If you don't have the actual data, there are a lot of free websites that changes diagrams into data points.
Good luck
For each cycle, you can find the area by doing a definite integral. For example:
Area= sum(delta_area(i))
Delta_area(i)= P(i+1)(drift(i+1)-drift(i))
If you do not have raw data. You can use Graph Digitizer to define it through your graph. Inbox me if you need the software.
I hope it will help.
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