Velocity and Displacement Integration from Structural Acceleration Time History
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To comprehensively analyze structural behavior under ground motion excitation, examining the acceleration time history curve provides fundamental insights. However, deriving velocity and displacement responses through numerical integration of acceleration data is equally critical. This integration process typically employs algorithms like cumulative trapezoidal integration or frequency-domain methods using FFT (Fast Fourier Transform). In MATLAB, one might implement this using the cumtrapz() function for time-domain integration or integrate through the frequency domain by applying ifft(fft(acceleration)./(2*pi*frequency)) with proper baseline correction. These techniques enable complete characterization of structural seismic response, facilitating the design of earthquake-resistant structures by revealing full displacement patterns and energy dissipation mechanisms. Proper handling of integration constants and drift correction is essential for accurate results.
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