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BASIC MATHEMATICAL PROCEDURES
RESPONSE OF LINEAR SYSTEMS
5 other sections not shown
absolute acceleration accelerometer amplitude analog computers analog shock spectrum analysis analyzer bandpass filter calculated capacitor circuit coefficients complex constant convolution damping ratio defined described detectors determine differential equation displacement Duhamel integral duration error evaluated example excitation exponential finite Fourier series Fourier spectrum Fourier transform frequency domain frequency response function inductor inertial input integral inverse transform Laplace transform linear system low-pass filter mass maximum mean square value measured method modulus multiplied natural frequency nonstationary obtained operation output passive analog peak response physical system polynomial problem procedure pulse quency random record length recursion resistor resonant frequency response history response time history scanned second order shock data shock spectrum shock spectrum computer shock time histories shown in Fig signal simple mechanical oscillator sine wave single degree-of-freedom system sinusoid solution spectral components spectral density step function techniques tion transient undamped natural frequency usually voltage weighting function zero