H4KV-10-C The individual power fractions PI PII Pn must n Helical gear box H4

Flender/Flender Gear Units/Helical gear box H4

ions of motion for the SDOF system are listed in Table 8.1. Transforming this differential equation into the frequency domain produces description of the dynamic behavior in the form of the compliance frequency response ( ) (Formula 8. which is caused by the complex ratios between dynamic displacement ( ) and dynamic force ( ). The compliance frequency response may be separated into amplitude and phase responses (Fig. 8.. The amplitude response represents compliance as function of frequency. The staticcompliance amplitude, .. the reciprocal of the static stiffness /, can be read off ata frequency 0 Hz. The system possesses its maximum compliance at resonance frequency . The phase response describes the time lag between the excitation force and the resulting displacement. Table 8.1 Differential equations in the frequency domain Designation Formula No. Time domain mxc_xkx dynxstat/C1 FstatFdyn (8. Frequency domainm^xj2c^xj ^xhi ejt^Fejt (8. Frequency responseGj xj Fj1 mj2cj (8.8.3 Dynamic Machine Behavior 3 Fig. 8.2 Compliance response principle Fig. 8.3 Amplitude and phase response f1frequency at phase angle 1 fRresonance frequency of the damped system fnresonance frequency of the undamped system at /C1 damping factor at /2mn Fig. 8.4 Nyquist plot3 8 Dynamics of Machine Tools form of representation, equivalent to the amplitude and phase responses, is the frequency response locus, or Nyquist plot, shown in Fig. 8.4. The distance from the origin of point on the Nyquist plot is the amount of compliance, while the rotation of this position vector in relation to the positive horizontal axis represents the phase. Because of passive system characteristics, there is always time lag between theforce and the displacement which requires negative phase values in the phaseresponse and frequency parameterization of the frequency response locus in theclockwise direction, .. in the mathematically negative direction of rotation. fundamental distinction is