Figures index

From

Nonlinear Dynamics of a Controlled Cantilever Beam with Varying Orientation under Primary Resonance

Usama H. Hegazy

American Journal of Mechanical Engineering. 2014, 2(7), 316-327 doi:10.12691/ajme-2-7-31
  • Figure 1. The considered model of a cantilever beam
  • Figure 2. Numerical solution of the cantilever beam: (a) Non-resonant time response solution, (b) Primary resonant solution, (c) Effect of initial conditions on system behavior at primary resonance
  • Figure 3. Effect of the orientation angle under primary resonance
  • Figure 4. Effect of the external excitation under primary resonance
  • Figure 5. Effect of the parametric excitation under primary resonance
  • Figure 6. Performance of LPF controller, (a)-(d), and QPF controller, (e) and (f), for different values of the gain when the system subjected to primary resonance
  • Figure 7. Performance of CPF controller for different values of the gain when the system subjected to primary resonance
  • Figure 8. Performance of LVF controller for different values of the gain when the system subjected to primary resonance
  • Figure 9. Performance of QVF controller for different values of the gain when the system subjected to primary resonance
  • Figure 10. Performance of CVF controller for different values of the gain when the system subjected to primary resonance
  • Figure 11. Performance of negative acceleration feedback controller for different values of the gain when the system subjected to primary resonance
  • Figure 12. Effect of the gain for various control laws at primary resonance - numerical integration of the system: (x-axis: the gain, y-axis: x-amplitude)
  • Figure 13. Primary resonant frequency response curve with LPF controller
  • Figure 14. Primary resonant frequency response curve with LVF controller