Vibration reduction in a 2DOF twin-tail system to parametric excitations

Amer, Y. A.; Bauomy, H. S.

doi:10.1016/j.cnsns.2007.10.005

Cited by 20 publications

(11 citation statements)

References 15 publications

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“…Flexible manipulator arms damped with piezoelectric actuators are a very common example of such lightly damped mechanical systems and appear in the academic literature very often [12,35,52,69,96,106,119,121,124]. Other examples of lightly damped mechanical structures with fast dynamics are helicopter rotor beams with active vibration attenuation [9,62,71] or wing surfaces in fixed wing aircraft [4,23,24]. Figure 5.2 illustrates such an experimental smart rotor structure 1 equipped with an active vibration control system.…”

Section: The Cantilever Beam As a Dynamic Model For A Class Of Real-lmentioning

confidence: 98%

Laboratory Demonstration Hardware for AVC

Takács

Rohal’-Ilkiv

2012

Model Predictive Vibration Control

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Section: The Cantilever Beam As a Dynamic Model For A Class Of Real-lmentioning

confidence: 98%

Laboratory Demonstration Hardware for AVC

Takács

Rohal’-Ilkiv

2012

Model Predictive Vibration Control

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“…A longer prediction horizon causes the QPMPC algorithm to exceed real-time sampling times and crash the xPC Target platform on the given computer. 3 State penalty matrices in all MPC methods and in the LQ controller computation have been set to Q = C T C, which in fact just penalizes beam deflections. Input penalty has been determined to be R = r = 1E-4 through simulation tests with different LQ controllers.…”

Section: Initial Deflection Testmentioning

confidence: 99%

“…As it has been earlier noted, the use of a clamped cantilever beam to demonstrate and compare damping capability of both actuators and algorithms is very common in academic literature [9,30,42,56,76,79,[92][93][94]. Moreover, a simple laboratory hardware like the AVC demonstrator considered here may represent the dynamic behavior of a class of lightly damped mechanical systems 1 such as rotary or fixed wings in aircraft [3,6,18,19,53,58], solar panels and antenna masts [1,36,51,59] and others [69,72].…”

mentioning

confidence: 95%

“…Established control strategies like position, velocity or acceleration feedback [3,7,18,19,40,54,76], PID [2,11,20,27,29,41,42,88] or other transfer function or filtering-based methods are commonly and successfully applied to vibration control systems. However, these traditional controllers have not been implemented here for the interest of preserving a fair basis of comparison with MPC.…”

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confidence: 99%

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Experimental Model Predictive Vibration Control

Takács

Rohal’-Ilkiv

2012

Model Predictive Vibration Control

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“…The modulation equations with quadratic and cubic geometric nonlinearities govern the dynamics of suspended cables. Amer and Bauomy [12] studied a 2DOF system with quadratic and cubic nonlinearities subjected to multi-parametric excitation forces. The results presented in [12] indicate that, as the coefficient of the cubic nonlinearities is negative, the nonlinear stiffness lead to the bending of the response curves like that of a system with soft springs.…”

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confidence: 99%

Nonlinear response and stability of a spindle system supported by ball bearings

2009

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In this effort, the nonlinear responses and stability of a spindle system supported by ball bearings are presented. The dynamics of this system is described by a set of second order differential equations with a nonlinear piecewise smooth force. The Floquet theory is applied to investigate the stability of the periodic solution. Due to the loss of contact between the raceways and balls in the ball bearing, the bending of the frequency response curves switch to the left at the weak resonance region, which is similar to the frequency response curves of a system with a soft spring. With the decrease of the bearing clearance, the bending of the frequency response curves switch to the right, which is similar to the frequency response curves of a system with a hard spring. Increase of the frequency ratio, the bending of frequency response curves transforms from left to right. The route to chaos through a period doubling process is also observed in this spindle-bearing system.Keywords Spindle-bearing system · Piecewise stiffness · Floquet theory · Stability · Period-doubling bifurcation InstructionAs one of the sources of vibrations in the spindle system, ball bearing attracts a lot of interests. To compensate the thermal and centrifugal expansion, initial clearance between the raceways and balls is designed for the ball bearing. A lot of efforts have been devoted to the study of the nonlinear responses and the routes to chaos of rotor-bearing system with clearance. In the early work of rotor dynamics, Yamamoto [1] considered the nonlinear effect of bearing clearance and investigated the vibratory behaviors of a vertical Jeffcott rotor supported by ball bearings. The results show that the maximum amplitude at the critical speed decreases with the increase of radial clearance. Following the effort of Yamamoto, Tiwari et al. [2] investigated the effects of the bearing clearance and varying compliance on the dynamic characteristics of a horizontal Jeffcott rotor with the unbalance force. Harsha et al. [3] analyzed the effects of surface waviness and bearing clearance on the nonlinear vibration response of rotor-ball bearing system. Bercea et al. [4] proposed a general methodology for modeling the relationship between the contact pressure distribution and the elastic deflection in several types of double-row rolling bearings with the effects of bearing clearance and the initial preload. Sopanen and Mikkola [5,6] proposed a dynamic model of a deep-groove ball bearing with six DOF. By investigating this model, the effects of the bearing clearance on the natural frequencies and the vibration responses of the rotor bearing system were studied. All the works presented in Refs. [1-6] mainly focus on the nonlinear response of the system with positive clearance. However, due to the thermal expansion of the races and balls of the bearing

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Vibration reduction in a 2DOF twin-tail system to parametric excitations

Cited by 20 publications

References 15 publications

Laboratory Demonstration Hardware for AVC

Laboratory Demonstration Hardware for AVC

Experimental Model Predictive Vibration Control

Nonlinear response and stability of a spindle system supported by ball bearings

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