![]() $$ To explore the mechanical properties of cracked lining subjected to seismic loads based on wave theory and the extended finite element method, the dynamic viscoelastic boundary of a seismic wave and equivalent nodal force load were generated by MATLAB programming software to establish a simulation model of cracked lining structure. sites are not optimized for visits from your location. ![]() An example application of the Fourier transform is determining the constituent pitches in a musical waveform.This image is the result of applying a Constant-Q transform (a Fourier-related transform) to the waveform of a C major piano chord.The first three peaks on the left correspond to the frequencies of the fundamental frequency of the chord (C, E, G). Last but not least, we define a time vector from 0 to 4*pi with 1001 points in between and we use subs to substitute the value of t in the Fourier Series with all values in this vector. We use f and sum with respect to k as that is what the summation calls for and we sum from 1 up to n. The following is a time vector t representing one second in duration: It is essential to clarify that a time vector with ten elements corresponds to a sampling rate of 10 Hz and is not recommended in practice.
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