Mechanical Vibration Analysis and Computation
Focusing on applications rather than rigorous proofs, this volume is suitable for upper-level undergraduates and graduate students concerned with vibration problems. In addition, it serves as a practical handbook for performing vibration calculations.
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Frequency response of linear systems
General expansion in partial fractions
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algorithm amplitude angle angular applied approximation arbitrary assumed beam bogie calculation Chapter coefficients column complex consider constant corresponding curve damping ratio dB/decade 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 imaginary impulse-response function independent eigenvectors infinite input integral inverse iteration Jordan matrix logical flow diagram lowest natural frequency magnitude mass Mathieu equation method modal mode shapes multiplying natural frequency nonlinear normal mode function obtained orthogonal oscillation output partial fractions pendulum plotted principal vector Problem QR algorithm rad/s resonance response function result rotation shaft shown in Fig steady-state harmonic stiffness sub-matrix subprogram substituting symmetric symmetric matrix system in Fig torque torsional undamped velocity viscous wheels wheelset zero