Page 5 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 5
Contents
3 HARMONICALLY EXCITED VIBRATION 51
3.1 Forced Harmonic Vibration 51
3.2 Rotating Unbalance 56
3.3 Rotor Unbalance 58
3.4 Whirling of Rotating Shafts 61
3.5 Support Motion 66
3.6 Vibration Isolation 68
3.7 Energy Dissipated by Damping 70
3.8 Equivalent Viscous Damping 73
3.9 Structural Damping 75
3.10 Sharpness of Resonance 77
3.11 Vibration-Measuring Instruments 78
4 TRANSIENT VIBRATION 92
4.1 Impulse Excitation 92
4.2 Arbitrary Excitation 94
4.3 Laplace Transform Formulation 97
4.4 Pulse Excitation and Rise Time 100
4.5 Shock Response Spectrum 103
4.6 Shock Isolation 108
4.7 Finite Difference Numerical Computation 108
4.8 Runge-Kutta Method {Method 2) 117
5 SYSTEMS WITH TWO OR MORE DEGREES
OF FREEDOM 130
5.1 The Normal Mode Analysis 131
5.2 Initial Conditions 135
5.3 Coordinate Coupling 138
5.4 Forced Harmonic Vibration 143
5.5 Digital Computation 145