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Frequency response of linear systems
General response properties
17 other sections not shown
algorithm amplitude angular applied approximation arbitrary assumed beam bogie calculation Chapter coefficients column complex consider constant curve damping ratio defined deflection degrees of freedom derivatives diag diagonal matrix eigenvalues eigenvalues and eigenvectors eigenvector matrix energy equations of motion example expansion force Fourier transform free vibration frequency-response function Gaussian elimination given gives graph H(ia harmonic excitation Hence Hessenberg Hessenberg matrix impulse-response function independent eigenvectors infinite input integral inverse Jordan matrix logical flow diagram lowest natural frequency magnitude Mathieu equation method modal mode shapes multiplying natural frequency nonlinear normal mode function obtained orthogonal oscillation output partial fractions pendulum plotted positive definite principal vector Problem QR algorithm rad/s resonance response function result rotation shaft shown in Fig steady-state harmonic stiffness sub-diagonal sub-matrix substituting symmetric symmetric matrix system in Fig torque torsional Uj(z undamped velocity wheels wheelset y'th zero