## Figures index

#### From

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

*American Journal of Mechanical Engineering*.

**2014**, 2(7), 316-327 doi:10.12691/ajme-2-7-31

**Fig****ure****1.**The considered model of a cantilever beam

**Fig****ure****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

**Fi****gure****3.**Effect of the orientation angle under primary resonance

**Fig****ure****4.**Effect of the external excitation under primary resonance

**Fig****ure****5****.**Effect of the parametric excitation under primary resonance

**Fig****ure****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

**Fig****ure****7.**Performance of CPF controller for different values of the gain when the system subjected to primary resonance

**Fig****ure****8.**Performance of LVF controller for different values of the gain when the system subjected to primary resonance

**Fig****ure****9.**Performance of QVF controller for different values of the gain when the system subjected to primary resonance

**Fig****ure****10.**Performance of CVF controller for different values of the gain when the system subjected to primary resonance

**Fi****gure****11.**Performance of negative acceleration feedback controller for different values of the gain when the system subjected to primary resonance

**Fig****ure****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)

**Fig****ure****13.**Primary resonant frequency response curve with LPF controller

**Fig****ure****14.**Primary resonant frequency response curve with LVF controller