One simple way to look into the total energy released is by calculating Arias Intensity.

Dear Anca, I want to obtain input energy itself.

Dear Anca, can you upload the total energy released is by calculating Arias Intensity.

from acceleration n time step data, we can obtain input energy in this way

take an excel sheet

Column1: Time step (TS)

Column2: Acceleration data (Acc.)

Column3: make a column squaring acceleration data (Acc.)^2

Column4: make a column of (acceleration square*time step)

*Note: Time step is for example 0.02... it is time step in formula u have to use only 0.02 not the entire time values like 0, 0.02, 0.04, 0.06... its just time step (dt)

Column5: Cumulative of column 4

for ur convenience i am attaching an excel sheet of Tabas Ground motion, its details in sheet 1 and energy in sheet2

Dear Jagan

I think that this is the input energy at particular recording station not at the source. At the source the energy is computed using magnitude of the earthquake.

@Pradeep: Sir, i understood your point...

I am not aware how to calculate energy at the source... is it a simple formula based on magnitude?

There are a lot of equations, developped by several authors, relating the energy released by an earthquake as seismic waves and the magnitude. One of the first appeared in the book by Richter "Elementary Seismology":

log E = 11.4 + 1.5 M

where M is Ms (the surface wave magnitude) and E the energy in ergs

Input to what? Structure? That should be dependent on the modes of vibration.

you can calculate a strain release energy before and after an earthquake by the Okada's subroutine , for exemple the Coulomb3.0 software can give a answer about this question , good luck : )

Dear Jagan Mohan

i computed fourier amplitude of the observed acceleration(g) of the same excel sheet. Your maximum fourier amplitude seems to be 0.715, but when i computed fft in matlab am getting maximum fourier amplitude as greater than 35.... may i know the unit of ur fourier amplitude... and how u computed fourier amplitude

Housner proposed to calculate input energy  per unit mass as

Ei/m=1/2(PSV)2 , PSV is pseudo spectral velocity

Dear Arman Kamalzadeh,

There are different ways to calculate input energy.

1. Energy during earthquake: This energy is at the source during the process of earthquake. This energy is very high interms of 10E+20 joules.  Relationships are available in the literature. The above mentioned are some of them.

2. Energy of ground motion: This will be very useful to structural engineers. When we deal with structures, some of the energy is getting dissipated. It might be either damping energy, hysteretic energy etc. For a ground motion record, if you want to calculate energy, which will be applied to the structure, the third chapter will be useful to you. It describes clearly about the energy by Dr. Martin C. Chapman in his doctoral thesis.

Hope this information is useful to you.

I see that this is an old question but, nevertheless, I would like to add that if we are talking about the energy input to a structure then the work published by Uang and Bertero should not be overlooked. They published a few papers on the subject and a report (Use of energy as a design criterion in earthquake-resistant design) that is freely available in the following address:

https://nehrpsearch.nist.gov/article/PB91-210906/XAB

They established the concepts of "absolute" and "relative" energy with physical meaning starting from the dynamic equilibrium formulation for a SDOF system.

If you refer to seismic input to a structure, then you can find the answer to any Structural Dynamics textbook, for instance see section 7.9 in Chopra (2012).

If you refer to ground motion itself, you could calculate the rms acceleration or the Arias intensity (find more in Kramer's Geotechnical Earthquake Engineering textbook, Chapter 3).

Hope that helps!

Calculated on the basis of special methods

how can we obtain excel,matlab .etc file for example?